Math

Sphere Calculator

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

Exact method explained belowEditable inputs
Geometry desk
Geometry desk

Match each dimension to the shape and keep units consistent.

See the method

Set the dimensions

Runs on your device

Your measurement

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.

Input reference and sample values

Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.

InputFormat and unitsSample
RadiusNumeric value. Zero or positive.3

Result for these sample inputs

113.097336 cubic units
Surface area
113.097336
Diameter
6

Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.

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.