You can calculate the volume of a cylinder using the following formula

**V = ∏ x r ^{2} x H**

Where:

V = Volume

Π = Pi (3.142 approx)

r = radius

H = Height

## Example

You’ve been asked the calculate the volume of a length of pipe. The pipe is **5m in height** and has a **radius of 2m**. Calculate the volume using the following formula:

**V = ∏ x r ^{2} x H
V = 3.142 x 2^{2} x 5
V = 3.142 x 4 x 5
V = 12.568 x 5
V = 62.8m3**

There is more than one way to calculate the volume of a cylinder, you might like to try the wall area multiplied by half the radius. There is probably no practical situation where it would be an advantage.

Two other equations that might be of interest, the diameter and length, where both are equal, of a cylinder with a specified volume, is given by the formula; cube root (four times volume over Pi). The diameter of a cylinder, of a desired volume, where a ratio of length to diameter is specified, is given by the formula; cube root (four times the volume over Pi times the ratio)

Full derivation and spreadsheet calculator available.

Was there a problem with the formulas I submitted?