## Volume of a Sphere Lesson

### Sphere Volume Formula

The formula for volume of a sphere is given as:

**V = ^{4}⁄_{3}πr^{3}**

Where *V* is the volume and *r* is the radius.

INTRODUCING

### 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:

- Plugging the radius into the volume formula, we get:
- V =
^{4}⁄_{3}πr^{3} - V =
^{4}⁄_{3}π(10^{3}) =^{4000}⁄_{3}π **The volume of the sphere is**^{4000}⁄_{3}π.

#### Example Problem 2

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

Solution:

- Dividing the diameter by 2 to find radius, we get:
- 10/2 = 5
- r = 5
- Plugging the radius into the volume formula, we get:
- V =
^{4}⁄_{3}πr^{3} - V =
^{4}⁄_{3}π(5^{3}) =^{500}⁄_{3}π **The volume of the sphere is**^{500}⁄_{3}π.