{"id":41,"date":"2026-08-10T19:51:37","date_gmt":"2026-08-10T14:21:37","guid":{"rendered":"https:\/\/tankvolume-calculator.com\/blog\/?p=41"},"modified":"2026-08-10T19:51:39","modified_gmt":"2026-08-10T14:21:39","slug":"tank-volume-formulas","status":"publish","type":"post","link":"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/","title":{"rendered":"Tank Volume Formulas for All Shapes (With Step-by-Step Examples)"},"content":{"rendered":"\n<figure class=\"wp-block-table\"><table class=\"has-base-background-color has-background has-fixed-layout\"><tbody><tr><td><em>\ud83d\udccc This guide covers the exact tank volume formula for every major tank shape \u2014 cylinder, rectangular, horizontal, elliptical, and dish end with step-by-step worked examples and instant unit conversions.<\/em><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Whether you are an engineer sizing a pressure vessel, a farmer planning irrigation storage, or a homeowner checking your water tank capacity, you need the right tank volume formula \u2014 and you need to know how to apply it correctly.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Different tank shapes require completely different mathematical formulas. Using the wrong formula, or making a small error in plugging in values, can lead to costly undersizing or dangerous overflow situations.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In this guide, we cover the <strong>tank volume formulas<\/strong> for every common shape &#8211; vertical cylinder, rectangular, horizontal cylinder, elliptical, and dish end tanks with clear diagrams, variable definitions, and fully worked step-by-step calculation examples.<\/p>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_86 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Understanding_Tank_Geometry\" >Understanding Tank Geometry<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Key_Dimensions_You_Need_to_Measure\" >Key Dimensions You Need to Measure<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#A_Critical_Rule_Always_Use_Radius_Not_Diameter\" >A Critical Rule: Always Use Radius, Not Diameter<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Unit_Consistency\" >Unit Consistency<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Cylinder_Volume_Formula_Vertical_Tank\" >Cylinder Volume Formula (Vertical Tank)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Worked_Example_%E2%80%94_Vertical_Cylinder\" >Worked Example \u2014 Vertical Cylinder<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Quick_Reference_%E2%80%94_Cylinder_Volume_at_Common_Sizes\" >Quick Reference \u2014 Cylinder Volume at Common Sizes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Rectangular_Tank_Volume_Formula\" >Rectangular Tank Volume Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Worked_Example_%E2%80%94_Rectangular_Tank\" >Worked Example \u2014 Rectangular Tank<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Horizontal_Cylinder_Tank_Volume_Formula\" >Horizontal Cylinder Tank Volume Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Worked_Example_%E2%80%94_Horizontal_Cylindrical_Tank_Full\" >Worked Example \u2014 Horizontal Cylindrical Tank (Full)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Partial_Fill_Volume_%E2%80%94_Horizontal_Cylinder\" >Partial Fill Volume \u2014 Horizontal Cylinder<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Elliptical_Tank_Volume_Formula\" >Elliptical Tank Volume Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Worked_Example_%E2%80%94_Elliptical_Tank\" >Worked Example \u2014 Elliptical Tank<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Dish_End_Tank_Volume_Formula\" >Dish End Tank Volume Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Type_1_Hemispherical_Dish_End\" >Type 1: Hemispherical Dish End<\/a><ul class='ez-toc-list-level-5' ><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Type_2_Torispherical_Standard_Dish_End\" >Type 2: Torispherical (Standard Dish End)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Worked_Example_%E2%80%94_Hemispherical_Dish_End_Tank\" >Worked Example \u2014 Hemispherical Dish End Tank<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Tank_Volume_Formula_Summary_%E2%80%94_All_Shapes_at_a_Glance\" >Tank Volume Formula Summary \u2014 All Shapes at a Glance<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Unit_Conversion_Reference_for_Tank_Volume\" >Unit Conversion Reference for Tank Volume<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Use_Our_Free_Tank_Volume_Calculator\" >Use Our Free Tank Volume Calculator<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Common_Mistakes_When_Applying_Tank_Volume_Formulas\" >Common Mistakes When Applying Tank Volume Formulas<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-23\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Using_Diameter_Instead_of_Radius\" >Using Diameter Instead of Radius<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-24\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Inconsistent_Units\" >Inconsistent Units<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-25\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Ignoring_Internal_vs_External_Dimensions\" >Ignoring Internal vs External Dimensions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-26\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Forgetting_Dish_End_or_Cap_Volumes\" >Forgetting Dish End or Cap Volumes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-27\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Technical_Reference\" >Technical Reference<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-28\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Frequently_Asked_Questions_FAQ\" >Frequently Asked Questions (FAQ)<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-29\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Q_What_is_the_formula_for_tank_volume\" >Q: What is the formula for tank volume?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-30\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Q_How_do_I_calculate_the_volume_of_a_cylindrical_tank_in_litres\" >Q: How do I calculate the volume of a cylindrical tank in litres?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-31\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Q_What_is_the_difference_between_a_vertical_and_horizontal_cylinder_tank_formula\" >Q: What is the difference between a vertical and horizontal cylinder tank formula?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-32\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Q_How_do_I_calculate_an_elliptical_tank_volume\" >Q: How do I calculate an elliptical tank volume?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-33\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Q_Why_is_my_tank_volume_calculation_wrong\" >Q: Why is my tank volume calculation wrong?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-34\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Q_How_do_I_calculate_partial_fill_volume_for_a_horizontal_cylinder\" >Q: How do I calculate partial fill volume for a horizontal cylinder?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-35\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Q_How_many_litres_is_1_cubic_meter\" >Q: How many litres is 1 cubic meter?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-36\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Q_What_is_a_dish_end_tank_and_how_is_its_volume_calculated\" >Q: What is a dish end tank and how is its volume calculated?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-37\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/#Conclusion\" >Conclusion<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Understanding_Tank_Geometry\"><\/span>Understanding Tank Geometry<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Before applying any tank volume formula, you need to understand the geometry of the tank you are working with. Tank geometry determines which formula applies and which dimensions you need to measure.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Every tank volume formula is derived from basic geometric principles. The volume of any three-dimensional shape is calculated by understanding its cross-sectional area and how that area extends across its length, height, or depth.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Key_Dimensions_You_Need_to_Measure\"><\/span>Key Dimensions You Need to Measure<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Diameter (D) \u2014 the full width across the circular cross-section of a cylinder<\/li>\n\n\n\n<li>Radius (r) \u2014 half the diameter; always use this in formulas, never the full diameter<\/li>\n\n\n\n<li>Height (h) \u2014 the vertical distance from base to top of a vertical tank<\/li>\n\n\n\n<li>Length (L) \u2014 the horizontal axis of a horizontal or elliptical tank<\/li>\n\n\n\n<li>Semi-major axis (a) \u2014 half the larger diameter of an ellipse<\/li>\n\n\n\n<li>Semi-minor axis (b) \u2014 half the smaller diameter of an ellipse<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Tank Shape<\/strong><\/td><td><strong>Key Dimensions<\/strong><\/td><td><strong>Formula Type<\/strong><\/td><td><strong>Typical Use<\/strong><\/td><\/tr><tr><td>Vertical Cylinder<\/td><td>r, h<\/td><td>\u03c0 \u00d7 r\u00b2 \u00d7 h<\/td><td>Water towers<\/td><\/tr><tr><td>Rectangular<\/td><td>L, W, H<\/td><td>L \u00d7 W \u00d7 H<\/td><td>Pools, sumps<\/td><\/tr><tr><td>Horizontal Cylinder<\/td><td>r, L<\/td><td>\u03c0 \u00d7 r\u00b2 \u00d7 L<\/td><td>Fuel tankers<\/td><\/tr><tr><td>Elliptical<\/td><td>a, b, L<\/td><td>\u03c0 \u00d7 a \u00d7 b \u00d7 L<\/td><td>Pressure vessels<\/td><\/tr><tr><td>Dish End<\/td><td>r, L, dish depth<\/td><td>Cylinder + end caps<\/td><td>Chemical reactors<\/td><\/tr><tr><td>Capsule<\/td><td>r, h<\/td><td>Cylinder + sphere<\/td><td>Gas cylinders<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"A_Critical_Rule_Always_Use_Radius_Not_Diameter\"><\/span>A Critical Rule: Always Use Radius, Not Diameter<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-base-background-color has-background has-fixed-layout\"><tbody><tr><td><em>\u26a0\ufe0f Important: Every circular tank formula uses radius (r = D \u00f7 2). If you measure the diameter as 3 meters, your radius is 1.5 meters. Entering the diameter directly in the formula will give you a result that is 4 times too large \u2014 a very common and costly mistake.<\/em><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Unit_Consistency\"><\/span>Unit Consistency<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Always use the same unit for every dimension in your calculation. If you measure in meters, your result will be in cubic meters (m\u00b3). Multiply by 1,000 to convert to litres. If you measure in feet, your result is in cubic feet (ft\u00b3) \u2014 multiply by 28.317 for litres.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Cylinder_Volume_Formula_Vertical_Tank\"><\/span>Cylinder Volume Formula (Vertical Tank)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The vertical <a href=\"https:\/\/tankvolume-calculator.com\/cylindrical-tank-volume-calculator\/\">cylindrical tank<\/a> is the most widely used tank shape globally. This includes overhead water tanks, industrial storage vessels, grain silos, and well casings. Its circular cross-section and uniform height make it one of the simplest shapes to calculate.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-base-background-color has-background has-fixed-layout\"><tbody><tr><td><strong>\ud83d\udcd0&nbsp; Vertical Cylindrical Tank<\/strong><\/td><\/tr><tr><td><strong>V = \u03c0 \u00d7 r\u00b2 \u00d7 h<\/strong> <strong>Where:<\/strong> &nbsp;&nbsp; V = volume of the tank (cubic meters, cubic feet, etc.) &nbsp;&nbsp; \u03c0 = pi = 3.14159 &nbsp;&nbsp; r = radius of the circular base (= Diameter \u00f7 2) &nbsp;&nbsp; h = height (or depth) of the tank<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Worked_Example_%E2%80%94_Vertical_Cylinder\"><\/span>Worked Example \u2014 Vertical Cylinder<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-base-background-color has-background has-fixed-layout\"><tbody><tr><td><em>\ud83d\udccb Problem: A vertical cylindrical water tank has a diameter of 3 meters and a height of 4 meters. Calculate the total volume in cubic meters and litres.<\/em><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 1<\/strong><\/td><td><strong>Identify the radius<\/strong> r = Diameter \u00f7 2 = 3 \u00f7 2 = 1.5 meters<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 2<\/strong><\/td><td><strong>Write the formula<\/strong> V = \u03c0 \u00d7 r\u00b2 \u00d7 h<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 3<\/strong><\/td><td><strong>Substitute the values<\/strong> V = 3.14159 \u00d7 (1.5)\u00b2 \u00d7 4 V = 3.14159 \u00d7 2.25 \u00d7 4<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 4<\/strong><\/td><td><strong>Calculate<\/strong> V = 3.14159 \u00d7 9 = 28.274 m\u00b3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 5<\/strong><\/td><td><strong>Convert to litres<\/strong> V = 28.274 \u00d7 1,000 = 28,274 litres<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-electric-grass-gradient-background has-background has-fixed-layout\"><tbody><tr><td><strong>\u2705 Answer: The cylindrical tank holds 28.274 m\u00b3 or approximately 28,274 litres.<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Quick_Reference_%E2%80%94_Cylinder_Volume_at_Common_Sizes\"><\/span>Quick Reference \u2014 Cylinder Volume at Common Sizes<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Diameter (m)<\/strong><\/td><td><strong>Height (m)<\/strong><\/td><td><strong>Volume (m\u00b3)<\/strong><\/td><td><strong>Volume (Litres)<\/strong><\/td><\/tr><tr><td>1<\/td><td>2<\/td><td>1.571<\/td><td>1,571<\/td><\/tr><tr><td>2<\/td><td>3<\/td><td>9.425<\/td><td>9,425<\/td><\/tr><tr><td>3<\/td><td>4<\/td><td>28.274<\/td><td>28,274<\/td><\/tr><tr><td>4<\/td><td>5<\/td><td>62.832<\/td><td>62,832<\/td><\/tr><tr><td>5<\/td><td>6<\/td><td>117.810<\/td><td>117,810<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><em><a href=\"https:\/\/tankvolume-calculator.com\/tank-volume-converter\/\">Tank Volume Converter<\/a><\/em><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Rectangular_Tank_Volume_Formula\"><\/span>Rectangular Tank Volume Formula<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/tankvolume-calculator.com\/rectangular-tank-volume-calculator\/\">Rectangular tanks<\/a> also called box tanks or cuboid tanks have four flat sides, a flat base, and a flat top. They are extremely common in swimming pools, underground sumps, aquarium tanks, chemical storage, and agricultural water storage pits.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The rectangular tank volume formula is the simplest of all tank geometries, requiring only three linear measurements.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-base-background-color has-background has-fixed-layout\"><tbody><tr><td><strong>\ud83d\udcd0&nbsp; Rectangular (Cuboid) Tank<\/strong><\/td><\/tr><tr><td><strong>V = L \u00d7 W \u00d7 H<\/strong> <strong>Where:<\/strong> &nbsp;&nbsp; V = volume of the tank &nbsp;&nbsp; L = internal length of the tank &nbsp;&nbsp; W = internal width of the tank &nbsp;&nbsp; H = internal height (depth) of the tank &nbsp;&nbsp; &nbsp;&nbsp; Note: Always measure internal dimensions to get usable volume.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Worked_Example_%E2%80%94_Rectangular_Tank\"><\/span>Worked Example \u2014 Rectangular Tank<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-base-background-color has-background has-fixed-layout\"><tbody><tr><td><em>\ud83d\udccb Problem: A rectangular concrete water storage tank measures 5 m long, 3 m wide, and 2.5 m deep (internal dimensions). Calculate its total capacity.<\/em><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 1<\/strong><\/td><td><strong>Identify all three dimensions<\/strong> L = 5 m,&nbsp; W = 3 m,&nbsp; H = 2.5 m<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 2<\/strong><\/td><td><strong>Apply the formula<\/strong> V = L \u00d7 W \u00d7 H<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 3<\/strong><\/td><td><strong>Substitute and calculate<\/strong> V = 5 \u00d7 3 \u00d7 2.5 = 37.5 m\u00b3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 4<\/strong><\/td><td><strong>Convert to litres<\/strong> V = 37.5 \u00d7 1,000 = 37,500 litres<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-electric-grass-gradient-background has-background has-fixed-layout\"><tbody><tr><td><strong>\u2705 Answer: The rectangular tank holds 37.5 m\u00b3 or 37,500 litres.<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-base-background-color has-background has-fixed-layout\"><tbody><tr><td><em>\ud83d\udca1 Practical Tip: For a swimming pool, measure the average depth if the floor slopes. Use (shallow end depth + deep end depth) \u00f7 2 as your effective H value.<\/em><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Horizontal_Cylinder_Tank_Volume_Formula\"><\/span>Horizontal Cylinder Tank Volume Formula<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/tankvolume-calculator.com\/horizontal-tank-volume-calculator\/\">Horizontal cylindrical tanks<\/a> lie on their side, with the circular cross-section facing the viewer. Common examples include fuel tankers, road transport tanks, underground petrol station tanks, septic tanks, and propane storage vessels.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">When a horizontal cylinder is completely full, the volume formula is the same as for a vertical cylinder \u2014 only the orientation changes. The length (L) of the tank takes the place of height (h).<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-base-background-color has-background has-fixed-layout\"><tbody><tr><td><strong>\ud83d\udcd0&nbsp; Horizontal Cylindrical Tank (Full)<\/strong><\/td><\/tr><tr><td><strong>V = \u03c0 \u00d7 r\u00b2 \u00d7 L<\/strong> <strong>Where:<\/strong> &nbsp;&nbsp; V = total volume of the tank &nbsp;&nbsp; r = radius of the circular cross-section (= Diameter \u00f7 2) &nbsp;&nbsp; L = total length of the horizontal tank (the long axis)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Worked_Example_%E2%80%94_Horizontal_Cylindrical_Tank_Full\"><\/span>Worked Example \u2014 Horizontal Cylindrical Tank (Full)<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-base-background-color has-background has-fixed-layout\"><tbody><tr><td><em>\ud83d\udccb Problem: A horizontal fuel storage tank has a diameter of 2 m and a total length of 8 m. Calculate the full volume.<\/em><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 1<\/strong><\/td><td><strong>Find the radius<\/strong> r = 2 \u00f7 2 = 1 meter<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 2<\/strong><\/td><td><strong>Apply the formula<\/strong> V = \u03c0 \u00d7 r\u00b2 \u00d7 L<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 3<\/strong><\/td><td><strong>Substitute the values<\/strong> V = 3.14159 \u00d7 (1)\u00b2 \u00d7 8 = 3.14159 \u00d7 8<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 4<\/strong><\/td><td><strong>Calculate<\/strong> V = 25.133 m\u00b3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 5<\/strong><\/td><td><strong>Convert to litres<\/strong> V = 25,133 litres<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-electric-grass-gradient-background has-background has-fixed-layout\"><tbody><tr><td><strong>\u2705 Answer: The horizontal tank holds 25.133 m\u00b3 or 25,133 litres when completely full.<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Partial_Fill_Volume_%E2%80%94_Horizontal_Cylinder\"><\/span>Partial Fill Volume \u2014 Horizontal Cylinder<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Calculating the volume of liquid in a partially filled horizontal cylinder is significantly more complex. It requires a trigonometric formula based on the liquid depth (d) inside the tank.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-base-background-color has-background has-fixed-layout\"><tbody><tr><td><strong>\ud83d\udcd0&nbsp; Partial Fill \u2014 Horizontal Cylinder<\/strong><\/td><\/tr><tr><td><strong>V = L \u00d7 [r\u00b2 \u00d7 arccos((r\u2212d)\/r) \u2212 (r\u2212d) \u00d7 \u221a(2rd \u2212 d\u00b2)]<\/strong> <strong>Where:<\/strong> &nbsp;&nbsp; d = current depth of liquid measured from the bottom of the tank &nbsp;&nbsp; r = radius of the cylinder &nbsp;&nbsp; L = length of the cylinder &nbsp;&nbsp; &nbsp;&nbsp; This formula accounts for the curved geometry of the tank bottom. &nbsp;&nbsp; For practical use, our online calculator handles this automatically.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-base-background-color has-background has-fixed-layout\"><tbody><tr><td><em>\ud83d\udca1 For partial fill calculations on horizontal cylinders, use our free Tank Volume Calculator to get instant, accurate results without solving the trigonometric formula manually.<\/em><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Elliptical_Tank_Volume_Formula\"><\/span>Elliptical Tank Volume Formula<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/tankvolume-calculator.com\/elliptical-tank-volume-calculator\/\">Elliptical tanks<\/a> have an oval cross-section rather than a circular one. They are used in road tankers, railway wagons, and industrial pressure vessels because the elliptical shape provides greater structural strength and a lower center of gravity compared to circular tanks of the same width.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-base-background-color has-background has-fixed-layout\"><tbody><tr><td><strong>\ud83d\udcd0&nbsp; Elliptical Tank<\/strong><\/td><\/tr><tr><td><strong>V = \u03c0 \u00d7 a \u00d7 b \u00d7 L<\/strong> <strong>Where:<\/strong> &nbsp;&nbsp; V = volume of the tank &nbsp;&nbsp; a = semi-major axis = half of the larger (wider) diameter &nbsp;&nbsp; b = semi-minor axis = half of the smaller (narrower) diameter &nbsp;&nbsp; L = length of the tank along its long horizontal axis &nbsp;&nbsp; &nbsp;&nbsp; Note: If the cross-section were circular, a and b would be equal and equal to r \u2014 making this identical to the cylinder formula.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Worked_Example_%E2%80%94_Elliptical_Tank\"><\/span>Worked Example \u2014 Elliptical Tank<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-base-background-color has-background has-fixed-layout\"><tbody><tr><td><em>\ud83d\udccb Problem: An elliptical road tanker is 6 m long. Its cross-section has a major axis (wider diameter) of 2.4 m and a minor axis (narrower diameter) of 1.6 m.<\/em><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 1<\/strong><\/td><td><strong>Find the semi-major axis (a)<\/strong> a = 2.4 \u00f7 2 = 1.2 meters<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 2<\/strong><\/td><td><strong>Find the semi-minor axis (b)<\/strong> b = 1.6 \u00f7 2 = 0.8 meters<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 3<\/strong><\/td><td><strong>Apply the formula<\/strong> V = \u03c0 \u00d7 a \u00d7 b \u00d7 L<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 4<\/strong><\/td><td><strong>Substitute the values<\/strong> V = 3.14159 \u00d7 1.2 \u00d7 0.8 \u00d7 6<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 5<\/strong><\/td><td><strong>Calculate<\/strong> V = 3.14159 \u00d7 5.76 = 18.096 m\u00b3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 6<\/strong><\/td><td><strong>Convert to litres<\/strong> V = 18,096 litres<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-electric-grass-gradient-background has-background has-fixed-layout\"><tbody><tr><td><strong>\u2705 Answer: The elliptical tank holds 18.096 m\u00b3 or approximately 18,096 litres.<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Dish_End_Tank_Volume_Formula\"><\/span>Dish End Tank Volume Formula<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/tankvolume-calculator.com\/dish-end-tank-volume-calculator\/\">Dish end tanks<\/a> also known as torispherical head tanks or hemispherical head tanks \u2014 consist of a cylindrical shell with one or two curved end caps. They are the standard design for pressure vessels in chemical plants, refineries, pharmaceutical facilities, and food processing.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The curved dish ends are not flat \u2014 they extend beyond the cylindrical shell and add meaningful volume. Ignoring the dish end volumes is a common mistake that can underestimate total capacity by 10 to 20 percent.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Type_1_Hemispherical_Dish_End\"><\/span>Type 1: Hemispherical Dish End<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-base-background-color has-background has-fixed-layout\"><tbody><tr><td><strong>\ud83d\udcd0&nbsp; Hemispherical Dish End Tank (Two Ends)<\/strong><\/td><\/tr><tr><td><strong>V = (\u03c0 \u00d7 r\u00b2 \u00d7 L) + (4\/3 \u00d7 \u03c0 \u00d7 r\u00b3)<\/strong> <strong>Where:<\/strong> &nbsp;&nbsp; V_cylinder = \u03c0 \u00d7 r\u00b2 \u00d7 L&nbsp; (the cylindrical body) &nbsp;&nbsp; V_sphere = (4\/3) \u00d7 \u03c0 \u00d7 r\u00b3&nbsp; (both hemispherical ends together = one full sphere) &nbsp;&nbsp; r = radius of the cylindrical shell &nbsp;&nbsp; L = length of the cylindrical body only (excluding the end caps)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Type_2_Torispherical_Standard_Dish_End\"><\/span>Type 2: Torispherical (Standard Dish End)<span class=\"ez-toc-section-end\"><\/span><\/h5>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-base-background-color has-background has-fixed-layout\"><tbody><tr><td><strong>\ud83d\udcd0&nbsp; Torispherical Dish End \u2014 Approximate Formula<\/strong><\/td><\/tr><tr><td><strong>V_each_end \u2248 0.0847 \u00d7 D\u00b3<\/strong> <strong>Where:<\/strong> &nbsp;&nbsp; D = outer diameter of the cylindrical shell &nbsp;&nbsp; 0.0847 is the standard coefficient for a torispherical head with: &nbsp;&nbsp;&nbsp;&nbsp; Crown radius = D (full diameter) &nbsp;&nbsp;&nbsp;&nbsp; Knuckle radius = 0.1 \u00d7 D &nbsp;&nbsp; &nbsp;&nbsp; For two torispherical ends: V_ends = 2 \u00d7 0.0847 \u00d7 D\u00b3 = 0.1694 \u00d7 D\u00b3 &nbsp;&nbsp; Total volume = V_cylinder + V_ends<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Worked_Example_%E2%80%94_Hemispherical_Dish_End_Tank\"><\/span>Worked Example \u2014 Hemispherical Dish End Tank<span class=\"ez-toc-section-end\"><\/span><\/h5>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-base-background-color has-background has-fixed-layout\"><tbody><tr><td><em>\ud83d\udccb Problem: A pressure vessel has a cylindrical shell of radius 0.6 m and body length 4 m. Both ends are hemispherical. Calculate total volume.<\/em><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 1<\/strong><\/td><td><strong>Calculate cylindrical body volume<\/strong> V_cylinder = \u03c0 \u00d7 r\u00b2 \u00d7 L V_cylinder = 3.14159 \u00d7 (0.6)\u00b2 \u00d7 4 V_cylinder = 3.14159 \u00d7 0.36 \u00d7 4 = 4.524 m\u00b3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 2<\/strong><\/td><td><strong>Calculate both hemispherical ends<\/strong> V_sphere = (4\/3) \u00d7 \u03c0 \u00d7 r\u00b3 V_sphere = (4\/3) \u00d7 3.14159 \u00d7 (0.6)\u00b3 V_sphere = 4.189 \u00d7 0.216 = 0.905 m\u00b3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 3<\/strong><\/td><td><strong>Add both components<\/strong> V_total = V_cylinder + V_sphere V_total = 4.524 + 0.905 = 5.429 m\u00b3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Step 4<\/strong><\/td><td><strong>Convert to litres<\/strong> V = 5.429 \u00d7 1,000 = 5,429 litres<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-electric-grass-gradient-background has-background has-fixed-layout\"><tbody><tr><td><strong>\u2705 Answer: The dish end pressure vessel holds 5.429 m\u00b3 or 5,429 litres total.<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-base-background-color has-background has-fixed-layout\"><tbody><tr><td><em>\ud83d\udca1 Notice: The dish ends contribute 0.905 m\u00b3 out of 5.429 m\u00b3 total \u2014 that is 16.7% of total capacity. This shows why ignoring dish ends causes significant under-calculation.<\/em><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Tank_Volume_Formula_Summary_%E2%80%94_All_Shapes_at_a_Glance\"><\/span>Tank Volume Formula Summary \u2014 All Shapes at a Glance<span class=\"ez-toc-section-end\"><\/span><\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">The table below provides a quick-reference summary of every tank volume formula covered in this guide. Bookmark this page or save the table for easy reference during your calculations.<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Tank Shape<\/strong><\/td><td><strong>Volume Formula<\/strong><\/td><td><strong>Key Variables<\/strong><\/td><td><strong>Output<\/strong><\/td><\/tr><tr><td><strong>Vertical Cylinder<\/strong><\/td><td>V = \u03c0 \u00d7 r\u00b2 \u00d7 h<\/td><td>r, h<\/td><td>m\u00b3 \u2192 \u00d71000 = L<\/td><\/tr><tr><td><strong>Rectangular<\/strong><\/td><td>V = L \u00d7 W \u00d7 H<\/td><td>L, W, H<\/td><td>m\u00b3 \u2192 \u00d71000 = L<\/td><\/tr><tr><td><strong>Horizontal Cylinder (Full)<\/strong><\/td><td>V = \u03c0 \u00d7 r\u00b2 \u00d7 L<\/td><td>r, L<\/td><td>m\u00b3 \u2192 \u00d71000 = L<\/td><\/tr><tr><td><strong>Elliptical<\/strong><\/td><td>V = \u03c0 \u00d7 a \u00d7 b \u00d7 L<\/td><td>a, b, L<\/td><td>m\u00b3 \u2192 \u00d71000 = L<\/td><\/tr><tr><td><strong>Dish End (Hemispherical)<\/strong><\/td><td>V = \u03c0 r\u00b2L + 4\/3 \u03c0 r\u00b3<\/td><td>r, L<\/td><td>m\u00b3 \u2192 \u00d71000 = L<\/td><\/tr><tr><td><strong>Capsule<\/strong><\/td><td>V = \u03c0 r\u00b2h + 4\/3 \u03c0 r\u00b3<\/td><td>r, h (cyl only)<\/td><td>m\u00b3 \u2192 \u00d71000 = L<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Unit_Conversion_Reference_for_Tank_Volume\"><\/span>Unit Conversion Reference for Tank Volume<span class=\"ez-toc-section-end\"><\/span><\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">After calculating tank volume in cubic meters or cubic feet, you often need to convert to litres or gallons for practical use. Use the table below as a quick reference:<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>From Unit<\/strong><\/td><td><strong>To Unit<\/strong><\/td><td><strong>Multiply By<\/strong><\/td><\/tr><tr><td>Cubic Meters (m\u00b3)<\/td><td>Litres (L)<\/td><td>1,000<\/td><\/tr><tr><td>Cubic Feet (ft\u00b3)<\/td><td>Litres (L)<\/td><td>28.317<\/td><\/tr><tr><td>Cubic Feet (ft\u00b3)<\/td><td>US Gallons<\/td><td>7.481<\/td><\/tr><tr><td>Litres (L)<\/td><td>US Gallons<\/td><td>0.2642<\/td><\/tr><tr><td>Litres (L)<\/td><td>Imperial Gallons<\/td><td>0.2200<\/td><\/tr><tr><td>US Gallons<\/td><td>Litres (L)<\/td><td>3.7854<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Use_Our_Free_Tank_Volume_Calculator\"><\/span>Use Our Free Tank Volume Calculator<span class=\"ez-toc-section-end\"><\/span><\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">While understanding the formulas is valuable, real-world projects often involve multiple calculations, different units, and the need for instant accuracy. Our free online tank volume calculator eliminates manual calculation errors and gives you results in seconds.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-base-background-color has-background has-fixed-layout\"><tbody><tr><td><em>\ud83d\udd17 Free Tank Volume Calculator \u2014 Supports all tank shapes. Outputs in litres, gallons, and cubic meters. Use it at: <a href=\"https:\/\/tankvolume-calculator.com\/\">tankvolume-calculator.com<\/a><\/em><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>The calculator is particularly useful for:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Partial fill calculations on horizontal tanks (avoids the complex arccos formula)<\/li>\n\n\n\n<li>Instant unit conversions between litres, gallons, and cubic meters<\/li>\n\n\n\n<li>Comparing capacity across multiple tank shapes and sizes<\/li>\n\n\n\n<li>Field use on mobile devices without carrying formula sheets<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Common_Mistakes_When_Applying_Tank_Volume_Formulas\"><\/span>Common Mistakes When Applying Tank Volume Formulas<span class=\"ez-toc-section-end\"><\/span><\/h5>\n\n\n\n<h6 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Using_Diameter_Instead_of_Radius\"><\/span>Using Diameter Instead of Radius<span class=\"ez-toc-section-end\"><\/span><\/h6>\n\n\n\n<p class=\"wp-block-paragraph\">The most frequent mistake across all circular tank formulas. The formula requires r (radius). If you measure a diameter of 4 m, your r = 2 m. Inserting 4 m directly into the formula produces a volume that is exactly 4 times too large.<\/p>\n\n\n\n<h6 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Inconsistent_Units\"><\/span>Inconsistent Units<span class=\"ez-toc-section-end\"><\/span><\/h6>\n\n\n\n<p class=\"wp-block-paragraph\">Mixing meters and centimeters \u2014 or feet and inches \u2014 in the same calculation is the second most common error. For example, if you enter length in meters but depth in centimeters without converting, your answer will be 100 times off. Always standardize units before calculating.<\/p>\n\n\n\n<h6 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ignoring_Internal_vs_External_Dimensions\"><\/span>Ignoring Internal vs External Dimensions<span class=\"ez-toc-section-end\"><\/span><\/h6>\n\n\n\n<p class=\"wp-block-paragraph\">Thick-walled tanks, especially reinforced concrete cisterns, can have wall thicknesses of 15\u201330 cm or more. Using external dimensions instead of internal dimensions can overstate usable capacity by several thousand litres in large tanks.<\/p>\n\n\n\n<h6 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Forgetting_Dish_End_or_Cap_Volumes\"><\/span>Forgetting Dish End or Cap Volumes<span class=\"ez-toc-section-end\"><\/span><\/h6>\n\n\n\n<p class=\"wp-block-paragraph\">For dish end tanks, capsule tanks, and domed tanks, calculating only the cylindrical body volume can understate actual capacity by 10\u201320%. Always add the end cap volume separately.<\/p>\n\n\n\n<h6 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Technical_Reference\"><\/span>Technical Reference<span class=\"ez-toc-section-end\"><\/span><\/h6>\n\n\n\n<p class=\"wp-block-paragraph\">For further reading on geometric volume formulas and their engineering applications, the following authoritative source provides comprehensive reference data:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Wikipedia \u2014 <a href=\"https:\/\/en.wikipedia.org\/wiki\/Volume\" target=\"_blank\" rel=\"noopener\">Volume of Common Geometric Shapes<\/a>.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions_FAQ\"><\/span>Frequently Asked Questions (FAQ)<span class=\"ez-toc-section-end\"><\/span><\/h5>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1773190556973\" class=\"rank-math-list-item\">\n<h6 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"Q_What_is_the_formula_for_tank_volume\"><\/span><strong>Q: What is the formula for tank volume?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<div class=\"rank-math-answer \">\n\n<p>A: The formula depends on the tank shape. For a cylindrical tank, use V = \u03c0 \u00d7 r\u00b2 \u00d7 h (vertical) or V = \u03c0 \u00d7 r\u00b2 \u00d7 L (horizontal). For a rectangular tank, use V = L \u00d7 W \u00d7 H. For an elliptical tank, use V = \u03c0 \u00d7 a \u00d7 b \u00d7 L. Dish end tanks require adding the end cap volume to the cylindrical body volume.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1773190567831\" class=\"rank-math-list-item\">\n<h6 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"Q_How_do_I_calculate_the_volume_of_a_cylindrical_tank_in_litres\"><\/span><strong>Q: How do I calculate the volume of a cylindrical tank in litres?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<div class=\"rank-math-answer \">\n\n<p>A: First, calculate the volume in cubic meters using V = \u03c0 \u00d7 r\u00b2 \u00d7 h. Then multiply by 1,000 to convert to litres. For example, a tank with radius 1 m and height 3 m has V = 3.14159 \u00d7 1 \u00d7 3 = 9.42 m\u00b3 = 9,420 litres.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1773190582106\" class=\"rank-math-list-item\">\n<h6 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"Q_What_is_the_difference_between_a_vertical_and_horizontal_cylinder_tank_formula\"><\/span><strong>Q: What is the difference between a vertical and horizontal cylinder tank formula?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<div class=\"rank-math-answer \">\n\n<p>A: Both use the same base formula: V = \u03c0 \u00d7 r\u00b2. For a vertical tank, you multiply by height (h). For a horizontal tank, you multiply by length (L). When the horizontal tank is partially filled, a more complex trigonometric formula involving arccos is required.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1773190596968\" class=\"rank-math-list-item\">\n<h6 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"Q_How_do_I_calculate_an_elliptical_tank_volume\"><\/span><strong>Q: How do I calculate an elliptical tank volume?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<div class=\"rank-math-answer \">\n\n<p>A: Use the formula V = \u03c0 \u00d7 a \u00d7 b \u00d7 L, where a is the semi-major axis (half the larger diameter), b is the semi-minor axis (half the smaller diameter), and L is the length of the tank. This is similar to the cylinder formula but uses two different radii for the oval cross-section.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1773190605357\" class=\"rank-math-list-item\">\n<h6 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"Q_Why_is_my_tank_volume_calculation_wrong\"><\/span><strong>Q: Why is my tank volume calculation wrong?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<div class=\"rank-math-answer \">\n\n<p>A: The most likely causes are: (1) using diameter instead of radius in the formula \u2014 you must divide diameter by 2 first; (2) mixing units such as meters and centimeters; (3) using the wrong formula for the tank shape; or (4) using external dimensions instead of internal for thick-walled tanks.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1773190622981\" class=\"rank-math-list-item\">\n<h6 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"Q_How_do_I_calculate_partial_fill_volume_for_a_horizontal_cylinder\"><\/span><strong>Q: How do I calculate partial fill volume for a horizontal cylinder?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<div class=\"rank-math-answer \">\n\n<p>A: Use the formula V = L \u00d7 [r\u00b2 \u00d7 arccos((r\u2212d)\/r) \u2212 (r\u2212d) \u00d7 \u221a(2rd \u2212 d\u00b2)], where d is the current liquid depth and r is the radius. This trigonometric formula can be complex to solve by hand, so using an online partial-fill tank calculator is strongly recommended.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1773190628693\" class=\"rank-math-list-item\">\n<h6 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"Q_How_many_litres_is_1_cubic_meter\"><\/span><strong>Q: How many litres is 1 cubic meter?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<div class=\"rank-math-answer \">\n\n<p>A: Exactly 1,000 litres. This conversion is consistent and precise: 1 m\u00b3 = 1,000 litres, regardless of the shape or context of the calculation.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1773190642631\" class=\"rank-math-list-item\">\n<h6 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"Q_What_is_a_dish_end_tank_and_how_is_its_volume_calculated\"><\/span><strong>Q: What is a dish end tank and how is its volume calculated?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<div class=\"rank-math-answer \">\n\n<p>A: A dish end tank has a cylindrical body with curved (dished) end caps. To calculate its volume, add the cylindrical body volume (\u03c0 \u00d7 r\u00b2 \u00d7 L) to the volume contributed by the end caps. For hemispherical ends, both caps together equal one full sphere with volume (4\/3) \u00d7 \u03c0 \u00d7 r\u00b3. Standard torispherical ends use the approximate formula 0.0847 \u00d7 D\u00b3 per end.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n<h6 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Conclusion\"><\/span>Conclusion<span class=\"ez-toc-section-end\"><\/span><\/h6>\n\n\n\n<p class=\"wp-block-paragraph\">Every tank shape has its own specific volume formula \u2014 and using the correct formula with accurate measurements is the foundation of reliable tank capacity calculation. The key formulas to remember are: V = \u03c0 \u00d7 r\u00b2 \u00d7 h for vertical cylinders, V = L \u00d7 W \u00d7 H for rectangular tanks, V = \u03c0 \u00d7 r\u00b2 \u00d7 L for horizontal cylinders, V = \u03c0 \u00d7 a \u00d7 b \u00d7 L for elliptical tanks, and the two-component formula for dish end vessels.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Across all formulas, the most important rule is always to use radius (not diameter) and to keep all measurements in the same unit. For dish end tanks, always include the end cap contribution to avoid significantly underestimating capacity.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For fast, accurate, and error-free results in your next project, use our free online tank volume calculator \u2014 it handles every shape, supports all units, and includes partial fill calculation for horizontal cylinders.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-base-background-color has-background has-fixed-layout\"><tbody><tr><td><em>\ud83d\udd17 Get instant results with our <a href=\"https:\/\/tankvolume-calculator.com\/\">free Tank Volume Calculator<\/a> \u2014 no manual formulas required. Visit: tankvolume-calculator.com<\/em><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\ud83d\udccc This guide covers the exact tank volume formula for every major tank shape \u2014 cylinder, rectangular, horizontal, elliptical, and dish end with step-by-step worked examples and instant unit conversions. Whether you are an engineer sizing a pressure vessel, a farmer planning irrigation storage, or a homeowner checking your water tank capacity, you need the &#8230; <a title=\"Tank Volume Formulas for All Shapes (With Step-by-Step Examples)\" class=\"read-more\" href=\"https:\/\/tankvolume-calculator.com\/blog\/tank-volume-formulas\/\" aria-label=\"Read more about Tank Volume Formulas for All Shapes (With Step-by-Step Examples)\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":48,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[7,6],"class_list":["post-41","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-tank-calculations","tag-tank-volume-formula-for-different-shapes","tag-tank-volume-formulas"],"_links":{"self":[{"href":"https:\/\/tankvolume-calculator.com\/blog\/wp-json\/wp\/v2\/posts\/41","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/tankvolume-calculator.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tankvolume-calculator.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tankvolume-calculator.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/tankvolume-calculator.com\/blog\/wp-json\/wp\/v2\/comments?post=41"}],"version-history":[{"count":9,"href":"https:\/\/tankvolume-calculator.com\/blog\/wp-json\/wp\/v2\/posts\/41\/revisions"}],"predecessor-version":[{"id":51,"href":"https:\/\/tankvolume-calculator.com\/blog\/wp-json\/wp\/v2\/posts\/41\/revisions\/51"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/tankvolume-calculator.com\/blog\/wp-json\/wp\/v2\/media\/48"}],"wp:attachment":[{"href":"https:\/\/tankvolume-calculator.com\/blog\/wp-json\/wp\/v2\/media?parent=41"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tankvolume-calculator.com\/blog\/wp-json\/wp\/v2\/categories?post=41"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tankvolume-calculator.com\/blog\/wp-json\/wp\/v2\/tags?post=41"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}