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Math

Sphere Calculator

Find sphere volume, surface area and diameter from its radius.

Exact method explained belowEditable inputs

Set up your calculation

Runs on your device

SOLUTION

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter radius.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

Volume = 4πr³/3. Surface area = 4πr². Diameter = 2r.

A WORKED EXAMPLE

A radius of 3 gives volume 36π, about 113.10 cubic units, and surface area 36π square units.

What to keep in mind

Assumes a complete sphere. Hollow shells, spherical caps and flattened shapes need different formulas.

Common questions

Can I enter diameter instead?

Divide it by two before entering the radius.

Why do area and volume use different units?

Area measures surface in square units; volume measures enclosed space in cubic units.

Methodology maintained by ClarityKit. How these tools are built and checked.