Sphere Volume Formula

The formula for volume of a sphere is given as:

V = ⁴⁄₃πr³

Where V is the volume and r is the radius.

Volume of a Sphere Example Problems

Let's go through a couple of example problems together to practice finding the volume of a sphere.

Example Problem 1

What is the volume of a sphere with a radius of 10?

Solution:

1. Plugging the radius into the volume formula, we get:
2. V = ⁴⁄₃πr³
3. V = ⁴⁄₃π(10³) = ⁴⁰⁰⁰⁄₃π
4. The volume of the sphere is ⁴⁰⁰⁰⁄₃π.

Example Problem 2

What is the volume of a sphere with a diameter of 10?

Solution:

1. Dividing the diameter by 2 to find radius, we get:
2. 10/2 = 5
3. r = 5
4. Plugging the radius into the volume formula, we get:
5. V = ⁴⁄₃πr³
6. V = ⁴⁄₃π(5³) = ⁵⁰⁰⁄₃π
7. The volume of the sphere is ⁵⁰⁰⁄₃π.