What is the formula for the volume of a sphere?

The formula is V = (4/3)πr³, where r is the radius of the sphere and π ≈ 3.14159265. This means volume grows with the cube of the radius.

What is the difference between radius and diameter?

The radius is the distance from the center of the sphere to its surface. The diameter is twice the radius. If you only know the diameter, divide it by 2 before entering it here.

How does volume change when I double the radius?

Because volume depends on r³, doubling the radius increases the volume by a factor of 8 (2³ = 8). A sphere with radius 2 cm has 8 times the volume of one with radius 1 cm.

Can I calculate volume if I know the diameter instead?

Yes. Simply divide the diameter by 2 to get the radius, then enter that value. For example, a diameter of 10 cm means a radius of 5 cm.

How accurate are the results?

The calculator uses JavaScript's built-in Math.PI (accurate to 15+ significant figures) and displays results rounded to 6 significant figures for practical use.

Volume of a Sphere Calculator

Name: Volume of a Sphere Calculator
Availability: InStock
Author: Nham Vu

Enter a sphere radius and instantly get its volume using V = (4/3)πr³, with results in multiple units.

Sphere Radius

Radius

Unit

Result

Enter a radius and click Calculate

Common Sphere Volumes (Quick Reference)

Radius	Volume (cm³)	Example
1 cm	4.189 cm³	Small marble
2.5 cm	65.45 cm³	Ping-pong ball
3.4 cm	164.6 cm³	Tennis ball
12 cm	7238 cm³	Basketball
100 cm	4,189,000 cm³	Large sphere (1 m radius)

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Summary

Enter a sphere radius and instantly get its volume using V = (4/3)πr³, with results in multiple units.

How it works

Enter the radius of the sphere in the input field.
Select the unit of measurement (mm, cm, m, in, or ft).
The calculator applies V = (4/3)πr³ and displays the result.
Results are shown in both cubic and scientific notation where appropriate.
A step-by-step breakdown is shown below the result for verification.

Use cases

Calculate the volume of a ball, globe, or spherical tank.
Solve geometry homework or exam problems involving spheres.
Estimate the capacity of spherical containers in engineering.
Verify manual calculations with step-by-step working shown.
Convert sphere volumes across metric and imperial units.
Quickly explore how volume scales with increasing radius.

Frequently Asked Questions

Last updated: 2026-06-13 · Reviewed by Nham Vu