Volume of a sphere formula
The volume of a sphere is:
For other 3D solids, use the general volume calculator. If you measured around the ball instead of across it, the circumference calculator can help convert the circle measurement first.
Where:
V=
Sphere volumer=
Radius=
Pi, approximately 3.14159If you know the radius, cube it and multiply by 4/3*pi.
How to find the volume of a sphere
- Identify the radius. If you know the diameter, divide it by 2.
- If you know circumference instead, use
r = C / (2*pi). - Substitute the radius into
V = (4/3)*pi*r^3.
Example with radius 3:
V = (4/3) * pi * 3^3 = 113.097 cubic units
Sphere volume from diameter
If you know the diameter, use:
V = (pi * d^3) / 6
This works because r = d/2.
Sphere volume from circumference
If you measured around the widest part of the sphere, first solve:
r = C / (2*pi)
Then calculate volume with the standard sphere formula. This is useful for balls, tanks, balloons, and other objects where circumference is easier to measure than radius.