Math

Sphere Volume Calculator

Sphere volume and surface area.

Enter your values

ⓘ Live results

Results
Volume
523.5988
Surface area
314.1593
Diameter
10
Great circle circumference
31.4159
Volume in litres (if cm)
0.5236

Quick answer

A sphere's volume is (4/3)πr³ and its surface area is 4πr².

V = (4/3)πr³, A = 4πr²

How to use the Sphere Volume Calculator

  1. 1Enter the sphere's radius.
  2. 2Read volume and surface area.
  3. 3Halve the diameter if that is what you measured.

Worked example

Using the values the calculator loads with:

Inputs

  • Radius5

Results

  • Volume523.5988
  • Surface area314.1593
  • Diameter10
  • Great circle circumference31.4159
  • Volume in litres (if cm)0.5236

Frequently asked questions

How do I get radius from volume?

r = ∛(3V/4π).

Why 4πr²?

It is the derivative of the volume formula with respect to radius.

About this calculator

Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.