# Sphere Volume Calculator

Our sphere volume calculator can quickly **find the volume of any sphere** for you!

This tool will help you find:

- The volume of any sphere from its radius;
- The volume of any half-sphere or hemisphere;
- The volume of any spherical cap; and
- The height or radius of any spherical cap.

Read the following short article to learn more about how to find the volume of a sphere and the sphere volume formula!

## Sphere volume formula

A sphere is a three-dimensional object **where every point on its surface is at the same distance from its center** (e.g., a ball). This distance is the sphere's **radius**.

If we know a sphere's radius, we can then calculate the volume it occupies with the sphere volume formula:

where:

- $r$ is the radius of the sphere; and
- $V$ is the sphere's volume.

As you can see, the sphere volume formula is straightforward. You only need the sphere's radius.

Try **inputting any sphere's radius** on the sphere volume calculator and **experiment** with it!

🙋 Remember to use the same length units when inputting the sphere's radius.

## Volume of spherical cap

To find the volume of a portion of a sphere, we can either use:

- The cap's height $h$ and sphere's radius $r$; or
- The cap's radius $a$ and height $h$.

If we're using the cap's height $h$ and the sphere's radius $r$, we should replace them in the following formula:

However, if we're using only information about the cap (the cap's radius $a$ and height $h$), we should use this formula instead:

You can use the sphere volume calculator with either parameter! Just fill in **any two** of them in the *"Spherical cap / Hemisphere"* section, and the sphere volume calculator will **complete the missing parameter** and **output the spherical cap's volume**.

## Volume of a half-sphere

If you know how to find the volume of a sphere $V$, then you know how to calculate the volume of a half-sphere $V_{h}$.

Simply divide by two inside the sphere volume formula, and that's it!

Feel free to experiment with this or any of our geometrical tools, such as the cylinder volume calculator!