Finding the Volume of a Cone
(KS3, Year 8)
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
Answer:The volume of the cone with a circular base with a radius of 5 cm and a height of 10 cm is 262 cm3.
Lesson SlidesThe slider below shows another real example of how to find the volume of a cone. Open the slider in a new tab
What Is a Cone?A cone is an object which starts with a circle, and then tapers to a point.
A Cone in a CylinderIf a cone is placed in a cylinder, the volume of the cone is exactly a third of the volume of the cylinder. Can you work out why?
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