Enter the total circumference (in) and the length (in)  into the Volume From Circumference Calculator. The calculator will evaluate and display the Volume From Circumference. 

Volume From Circumference Formula

The following formula is used to calculate the Volume From Circumference. 

V = pi * (C/2pi)^2 * L
  • Where Vc is the Volume From Circumference (in^3)
  • C is the total circumference (in) 
  • L is the length (in)  

To calculate the volume from a circumference, divide the circumference by 2pi, square the result, then multiply by pi times the length.

How to Calculate Volume From Circumference?

The following example problems outline how to calculate Volume From Circumference.

Example Problem #1:

  1. First, determine the total circumference (in).
    1. The total circumference (in) is given as: 20.
  2. Next, determine the length (in) .
    1. The length (in)  is provided as: 5.
  3. Finally, calculate the Volume From Circumference using the equation above: 

V = pi * (C/2pi)^2 * L

The values given above are inserted into the equation below:

V = pi * (20/(2*pi))^2 * 5 = 159.154 (in^3)

Example Problem #2: 

The variables needed for this problem are provided below:

total circumference (in) = 60

length (in)  = 3

Entering these values and solving gives:

V = pi * (C/2pi)^2 * L = 859.43 (in^3)