The LessonThe volume of a sphere is found using the formula:
In this formula, r is the radius of the sphere. The image below shows what we mean by radius:
"Find the Volume" Widget
- Click on the shape you're learning about.
- Click on the pad to start.
- Follow the instructions in the bottom-left corner.
- On the last click, the formula, workings, and answer will appear in the yellow box.
- Good luck!
How to Find the Volume of a Sphere
QuestionWhat is the volume of a sphere with a radius of 5 cm, as shown below?
Start with the formula:
Volume = 4πr3 ⁄ 3Don't forget: π is pi (≈ 3.14) and r3 = r × r × r (r cubed) and ⁄ means ÷.
Substitute the radius into the formula. In our example, r = 5.
Volume = 4 × π × 53 ⁄ 3 Volume = 4 × π × 125 ÷ 3 Volume = 4 × 3.14 × 125 ÷ 3 Volume = 523.3 cm3