YepCalc

Tank Volume Calculator

Find the capacity of a tank in gallons, liters, cubic feet, and cubic meters from its shape and size. Enter the liquid level to see how much liquid is in the tank, how much space is left, and how full it is. For a swimming pool, use the Pool Volume Calculator.

Tank

Use inside measurements if you can. Outside measurements include the walls, so they give a little more.

Liquid level

Measured up from the inside bottom of the tank. Leave blank to see the capacity only.

Result

Enter Diameter and Height to see the tank volume.

How to calculate tank volume

The capacity depends on the shape. For round tanks, the radius is half the diameter:

Vertical cylinder = π × radius² × height

Horizontal cylinder = π × radius² × length

Rectangular = length × width × height

Capsule = π × radius² × (overall length − diameter) + 4 ÷ 3 × π × radius³

A capsule is a cylinder with a half sphere on each end. The two ends make one sphere, so the calculator adds the volume of a sphere to the cylinder between the ends.

To get gallons, divide cubic inches by 231. The calculator uses the US gallon, which is 231 in³ or about 3.785 L, not the imperial gallon. One cubic foot is about 7.48 gallons.

Liquid volume at a given level

In a vertical cylinder or a rectangular tank, the liquid volume grows in step with the level: a tank filled to 3/4 of its height is 75% full. Horizontal and capsule tanks are narrower near the bottom and top, so the volume does not follow the level. For a horizontal cylinder, the liquid fills a slice of the circle, a circular segment, along the length:

Segment area = radius² × acos((radius − level) ÷ radius) − (radius − level) × √(2 × radius × level − level²)

Horizontal cylinder liquid volume = segment area × length

In a horizontal capsule, the segment runs along the straight part, and the rounded ends hold a spherical cap, π × level² × (3 × radius − level) ÷ 3. A vertical capsule fills the bottom half sphere first, then the straight part, then the top half sphere.

For example, a horizontal tank 48 in across that is filled 12 in deep, a quarter of the way up, is only 19.55% full. At 24 in, half the diameter, it's half full.

How to measure a tank

Manchester Tank lists a 250 gal propane tank as 30 in in outside diameter and 7 ft 10 in overall, with hemispherical heads. As a capsule, those outside measurements give 257.04 gal, about 3% more than the listed water capacity. Some smaller tanks have shallower elliptical heads, and the calculator gives more than they hold. If you aren't sure of the shape of the ends, check the manufacturer's capacity.

Examples

Vertical water tank

A tank 48 in across and 60 in tall holds π × 24² × 60 = about 108,573 in³, or 470.01 gal (1,779.20 L). With the water 45 in deep, it holds 352.51 gal and is 75% full, with 117.50 gal of space left.

Horizontal tank

A horizontal tank 48 in across and 10 ft long holds 940.03 gal. At a level of 12 in, it holds 183.78 gal and is 19.55% full.

Capsule propane tank

A capsule tank 30 in across and 7 ft 10 in overall has a straight part of 94 − 30 = 64 in and holds 257.04 gal. At a level of 10 in, it holds 73.01 gal and is 28.4% full.

Metric dimensions

A vertical tank 1,200 mm across and 1,500 mm tall holds 1,696.46 L. At a level of 900 mm, it holds 1,017.88 L and is 60% full.

FAQ