Capsule Tank Volume Calculator

Compute full capacity and partial fill volume for capsule storage tanks with hemispherical side caps.

💊 Calculate Capsule Tank Volume

What is a Capsule Storage Tank?

A capsule storage tank is a pressure vessel comprising a central cylindrical body joined to two hemispherical end caps. The rounded capsule shape provides exceptional resistance against high internal pressures without stress concentrations.

For pressure vessel codes, see Pressure Vessel Design Standards (Wikipedia).

Capsule Tank Volume Formulas

Capsule Volume (Cylinder Body + Full Sphere):

Total Volume (V) = π × r² × L + (4 / 3) × π × r³

Where r is radius and L is cylinder body length.

How to Calculate Capsule Tank Volume

  1. Measure Tank Diameter & Body Length: Record internal cylinder radius r and body length L.
  2. Calculate Cylinder Volume: Multiply π × r² × L.
  3. Calculate Sphere Volume (2 Hemispheres): Multiply (4/3) × π × r³.
  4. Add Volumes Together: Sum cylinder body and sphere volume.

Capsule Tank Numerical Example

For a capsule tank with 4 ft diameter (r = 2 ft) and 10 ft cylinder length:

Cylinder Volume = 3.14159 × (2)² × 10 = 125.66 ft³
Sphere Caps Volume = (4/3) × 3.14159 × (2)³ = 33.51 ft³
Total Volume = 125.66 + 33.51 = 159.17 ft³ ≈ 1,190.68 US Gallons

Standard Capsule Tank Capacity Chart

Capsule SizingDimensions (Diameter × Cylinder Length)US GallonsLitres
Small Pressure Receiver30" × 60" (0.76m × 1.52m)235 gal890 L
Medium Chemical Tank48" × 96" (1.22m × 2.44m)895 gal3,388 L
Large Transport Tank72" × 180" (1.83m × 4.57m)3,750 gal14,195 L

Pressure Distribution in Capsule Vessels

Hemispherical end caps eliminate sharp corner seams, providing maximum structural strength for high-pressure pneumatic and hydraulic liquids.

Engineering Applications & Pressure Vessel Dynamics

Capsule-shaped storage vessels combine a central cylindrical shell with two hemispherical ends to optimize structural strength against internal hydrostatic and pneumatic pressure. Because spherical surfaces distribute mechanical stress equally across their entire geometry, capsule tanks eliminate high-stress concentrations typically found at sharp rectangular corners or flat end-plates.

When selecting materials and sizing capsule storage tanks for industrial facilities, engineers must account for both internal working volume and total external footprint.

Frequently Asked Questions

What is a capsule tank?

A capsule tank consists of a central cylindrical body joined to two hemispherical end caps.

How do I calculate capsule tank volume?

Add the cylindrical body volume (πr²L) to a full sphere volume ((4/3)πr³).

Why are hemispherical caps preferred for pressure tanks?

Hemispherical caps distribute internal stress uniformly across all radial vectors.

How do I calculate horizontal capsule partial fill volume?

Calculate horizontal cylinder partial fill volume plus spherical cap partial fill volume.

What industries use capsule tanks?

Capsule tanks are used in chemical processing, LPG propane gas storage, and high-pressure steam systems.