What is the formula for the volume of a hemisphere?

V = (2/3)πr³, where r is the radius. This is exactly half the volume of a full sphere (4/3)πr³.

Does the calculator include the flat circular base?

The volume formula (2/3)πr³ gives the total enclosed volume of the hemisphere, which includes the space bounded by both the curved surface and the flat circular base.

What is the difference between radius and diameter?

The radius is the distance from the center of the base circle to its edge. The diameter is twice the radius. Enter only the radius in this calculator.

How accurate is the result?

The calculator uses JavaScript's built-in Math.PI constant (15+ significant digits) and displays results rounded to 6 significant figures to avoid misleading precision.

Volume of a Hemisphere Calculator

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

Enter a radius to instantly calculate the volume of a hemisphere using the formula (2/3)πr³.

Hemisphere Radius

Radius

Formula

V = (2/3) × π × r³

where r is the radius of the hemisphere

Enter a radius to calculate the hemisphere volume

Summary

Enter a radius to instantly calculate the volume of a hemisphere using the formula (2/3)πr³.

How it works

Enter the radius of the hemisphere in the input field.
Select the unit of measurement (mm, cm, m, in, ft).
The volume is calculated instantly using V = (2/3)πr³.
Copy the result or switch units at any time.

Use cases

Engineering and manufacturing: sizing dome-shaped tanks or caps.
Architecture: estimating concrete or material volume for hemispherical structures.
Science and education: solving geometry problems involving half-spheres.
DIY projects: calculating fill volumes for bowls, dome molds, or pool covers.

Frequently Asked Questions

Last updated: 2026-05-23 · Reviewed by Nham Vu