How do I find a sphere's volume?
Use four-thirds times pi times the radius cubed. A radius of 5 gives about 524. Volume grows fast because it depends on the cube of the radius.
// maths › 3D Solids
Sphere Volume Calculator
Find a sphere's volume and surface area. Enter the radius, diameter, volume or surface area and the rest follow.
volume = 4/3·πr³ ; surface area = 4πr²
Frequently asked questions
Can I work backwards from the volume or surface area?
Yes. This calculator accepts radius, diameter, volume or surface area, and finds the rest. Doubling back from volume uses a cube root.
What is the surface area of a sphere?
Four times pi times the radius squared. Interestingly it is exactly four times the area of the circle you would get by slicing the sphere through its centre.
Why does volume grow so quickly with radius?
Because it depends on radius cubed. Doubling the radius multiplies the volume by eight, which is why a slightly bigger ball holds much more.
Where is this used?
Balls and bearings, planets and bubbles, tanks and domes, and dosing anything stored in roughly spherical containers.