Volume of Rectangle
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Hemisphere Volume Calculator

Determine the volume of half a sphere accurately in seconds.

V = \frac{2}{3} \pi r^3
r = ?
Diagram updates instantly as you type.

What is a Hemisphere?

Exactly half of a sphere.

A hemisphere is an exact half of a sphere. In geometry, if you cut a perfect sphere directly through its center, you create two equal hemispheres.

Key Information
Shape Focus
hemisphere volume calculator

How to Find Hemisphere Volume

Calculating the volume of a hemisphere is like finding a sphere's volume and dividing by two.

1
Determine the radius of the hemisphere's flat base.
2
Cube the radius (r × r × r).
3
Multiply by pi (π) and then by 2/3.

Hemisphere Volume Formula

The standard equation for a hemisphere.

V = \frac{2}{3} π r^3
V Volume
r Radius

Where 'V' is volume, 'π' is pi, and 'r' is the radius of the hemisphere.

Frequently Asked Questions

How is a hemisphere's volume related to a sphere's?

The volume of a hemisphere is exactly half the volume of a sphere with the same radius.

What is an example of a hemisphere?

A dome×shaped bowl, an igloo, or the Northern half of the Earth are common examples of hemispheres.

Do I need the height of the hemisphere?

For a perfect hemisphere, the height is exactly equal to the radius, so you don't need a separate height measurement.

What if the shape isn't a perfect half-sphere?

If it's a piece of a sphere but not exactly half, it is called a spherical cap, and it requires a different formula.