Cylindrical Tank Volume Calculator

Compute full capacity and partial fill volume for vertical and horizontal cylindrical storage tanks.

🛢️ Calculate Cylindrical Tank Volume

What is a Cylindrical Tank?

A cylindrical tank is a circular containment vessel consisting of a flat or curved top and bottom joined by a continuous curved wall. Cylindrical tanks are the most widely used storage vessel shape in the world for water, petroleum products, liquid fertilizers, and industrial chemicals because their circular cross-section resists hoop stress efficiently while remaining cost-effective to fabricate.

Cylindrical tanks can be installed vertically (standing upright on a flat base) or horizontally (resting horizontally on support saddles). Total cylinder capacity is calculated using the circular base area multiplied by the cylinder length or height. Learn more at Cylindrical Tanks – Volumes (Engineering ToolBox).

Cylindrical Tank Volume Formulas

Total Cylinder Volume:

Volume (V) = π × r² × Height = π × (Diameter / 2)² × Height

Vertical Fill Volume:

Filled Volume = π × r² × Depth

How to Calculate Cylindrical Tank Capacity

  1. Record Tank Diameter: Measure internal circular cross-section diameter.
  2. Record Tank Height / Length: Measure vertical height for upright tanks or length for horizontal tanks.
  3. Calculate Volume: Multiply base area πr² by height.
  4. Convert Units: Convert cubic feet or cubic meters to US Gallons or Litres.

Cylindrical Tank Calculation Example

For a vertical cylinder tank with 6 ft diameter and 10 ft height:

Radius r = 3 ft
Total Volume = 3.14159 × (3)² × 10 = 282.74 ft³
Capacity in US Gallons = 282.74 × 7.48052 ≈ 2,115.06 US Gallons
Capacity in Litres = 282.74 × 28.31685 ≈ 8,006.47 Litres

Standard Cylindrical Tank Capacity Reference Chart

Tank SizingDimensions (Diameter × Height)Cubic Meters (m³)US Gallons
500 Litres0.86m × 0.95m (2.8ft × 3.1ft)0.50 m³132 gal
1,000 Litres1.10m × 1.15m (3.6ft × 3.8ft)1.00 m³264 gal
2,500 Litres1.45m × 1.60m (4.8ft × 5.2ft)2.50 m³660 gal
5,000 Litres1.85m × 1.95m (6.1ft × 6.4ft)5.00 m³1,320 gal
10,000 Litres2.35m × 2.40m (7.7ft × 7.9ft)10.00 m³2,640 gal

Structural Stress & Wall Thickness

Internal fluid pressure creates hoop stress σ = (P × r) / t. Cylindrical shapes handle hoop stress efficiently without requiring internal cross-bracing.

Practical Measurement Tips for Cylindrical Tanks

Accurate liquid level calculation requires measuring the exact interior dimensions rather than external shell boundaries. Thermal expansion, wall thickness variations, and internal structural ribbing can reduce net storage capacity by 2% to 5%. For large vertical or horizontal storage cylinders, dipstick readings or ultrasonic depth sensors are combined with volumetric lookup tables for precise inventory management.

Frequently Asked Questions

How do I calculate cylindrical tank volume?

Multiply circular base area (πr²) by height or length.

Does tank orientation change total volume?

No, total volume is identical whether a cylinder is vertical or horizontal.

How do I calculate fill volume in horizontal cylinders?

Horizontal partial fill requires circular segment area integration: V = r² × arccos((r - d) / r) - (r - d) × √(2rd - d²).

How many gallons are in a 6ft x 10ft cylindrical tank?

A 6ft diameter by 10ft height cylinder holds 2,115.06 US Gallons (8,006.47 Litres).

What is the formula for cylinder radius?

Radius equals half of the internal diameter (r = D / 2).