Volume Calculator › Volume of a Sphere

Volume of a Sphere Calculator

Find the volume of a sphere from its radius, the distance from the centre to the surface.

Volume of a sphere
Result523.6 units³
Quick answer
A sphere's volume is four-thirds of pi times the radius cubed, 4/3 π r³. With a radius of 5, that is 4/3 × π × 125 ≈ 523.6 cubic units. Cubing the radius is why doubling it makes the sphere eight times as large.

How it works

r
Volume = 4/3 × π × radius³radius cubed, so small changes matter a lot
radius
from the centre to the surface
π
pi, about 3.14159
radius³
the radius multiplied by itself three times

Use the radius, not the diameter. If you know the diameter, halve it: a ball 10 cm across has a 5 cm radius.

Frequently asked questions

What is the volume of a sphere with radius 5?

About 523.6 cubic units.

What is the formula for the volume of a sphere?

Four-thirds pi times the radius cubed, 4/3 π r³.

What happens if I double the radius?

The volume grows eight times, because the radius is cubed.

How do I find it from the diameter?

Halve the diameter to get the radius, then use 4/3 π r³.