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. 

Circumference to Volume Calculator

Cylinder (pipe / tank / log)
Sphere (ball)

Wrap a tape around it, measure, enter the number.

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.

Circumference and Length to Volume Conversion Table (in → in³), V = C² × L / (4π)
Circumference (in) Length (in) Volume (in³)
6617.189
61234.377
62468.755
636103.132
8630.558
81261.115
824122.231
836183.346
10647.746
101295.493
1024190.986
1036286.479
12668.755
1212137.510
1224275.020
1236412.530
166122.231
1612244.462
1624488.924
1636733.386
Assumes a circular cylinder. Formula: V = C² × L / (4π). Units shown: inches (in) and cubic inches (in³).

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)