Enter the radius and height of a cylinder into the calculator to determine the volume in terms of pi.

Volume in Terms of Pi Forumla

The following formula is used to calculate the volume of a cylinder in terms of pi. 

V = pi * r^2 * h
  • Where V is the volume in terms of pi
  • r is the radius of the cylinder
  • h is the height of the cylinder

To calculate the volume in terms of pi, multiply pi by the radius squared, then multiply by the height.

Volume in Terms of Pi Definition

What is a volume in terms of pi?

Volume in terms of pi is the method of expressing a volume in cubic units time pi.

For example, in the formula above, instead of having pi equal to 3.14159, pi is simply left as the symbol pi and the volume is pi times the cubic units.

How to calculate volume in terms of pi?

The following example outlines the steps required to calculate the volume of a cylinder in terms of pi.

First, determine the radius. Measuring the radius of the cylinder for this example yields 5 inches.

Next, measure or calculate the height. Measure the height yields 10 inches in this case.

Finally, calculate the volume in terms of pi using the formula above:

V = pi * r^2 * h

V = pi * 25*10

V = pi * 250 cubic inches

If you wanted to calculate the actual volume, simply substitute the value of pi into the equation to get the result. This would equal 789.35 in this example.