The LessonThe volume of a cone is found using the formula:
In this formula, r is the radius of the circle at the base of the cone and h is the height of the cone. The image below shows what we mean by the radius and height:
"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 Cone
QuestionWhat is the volume of a cone with a circular base with a radius of 5 cm and a height of 10 cm, as shown below?
Substitute the radius and the height into the formula. In our example, r = 5 and h = 10.
Volume = π × 52 × 10 ⁄ 3
Volume = π × 5 × 5 × 10 ÷ 3
Volume = π × 250 ÷ 3
Volume = 3.14 × 250 ÷ 3
Volume = 262 cm3