Geometry

Sphere Volume Calculator

Enter a radius to get a sphere's volume and surface area.

Volume

113.0973

Volume = 4⁄3 × π × r³. A radius of 3 holds about 113.1 cubic units.

Surface area

113.0973

How it works

A sphere is the most symmetric shape there is, so a single measurement — the radius from center to surface — fixes everything about it.

Volume follows the formula 4⁄3 × π × r³, which grows fast because of that cube. A sphere with radius 3 holds about 113.1 cubic units. Surface area is 4 × π × r², roughly 113.1 as well at that radius — a coincidence that stops the moment the radius changes.

Both results keep the full precision of π right up to the last step, then round to four decimals. Handy for tanks, balls, planets, and anything else shaped like a ball.

Frequently asked questions

I know the diameter. How do I use it here?

Cut it in half first. The radius is half the diameter, so a ball 12 across has a radius of 6. Enter that 6 and the volume and surface area come straight out.

Why does volume jump so much when the radius grows a little?

Because volume depends on the radius cubed. Doubling the radius multiplies the volume by eight, so even a small size increase makes a big difference to how much a sphere holds.

What units will the answers be in?

They follow your radius. A radius in meters gives volume in cubic meters and surface area in square meters. The tool never assumes a unit, so keep the input consistent.