The volume of a cone
I can calculate the volume of a cone.
The volume of a cone
I can calculate the volume of a cone.
Lesson details
Key learning points
- The volume of a cone can be found by displacement.
- Putting a cone into a cylinder filled with water displaces the water.
- When the cone is removed, the water level drops.
- The volume of the cone is the difference between the volume of the cylinder and water.
- There is a formula you can use to calculate the volume of a cone.
Common misconception
Pupils may confuse the slant height (which is needed to find the curved surface area of the cone) with the perpendicular height (which is needed to find the volume of the cone).
Remind pupils that for any volume calculation, three perpendicular lengths are multiplied and the slant height is not perpendicular to the base in a right cone. They may need to use Pythagoras' theorem to find the perpendicular height.
Keywords
Cone - A circular cone is a 3D shape that has a circular base and one curved surface that narrows from the base to a fixed point called the apex/vertex.
Right cone - A line drawn through the apex and centre of the base of a right circular cone will be perpendicular to the base.
Volume - Volume is the amount of space occupied by a closed 3D shape.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
The radius of the sector is… -
8 cm
The arc length of the sector is… -
6𝜋 cm
The area of the sector is… -
24𝜋 cm²