Volume of a frustum of a cone
I can calculate the volume of a frustum of a cone.
Volume of a frustum of a cone
I can calculate the volume of a frustum of a cone.
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Lesson details
Key learning points
- The frustum of a cone can be thought of as a cone with the top missing.
- The volume of a frustum of a cone can be thought of as the difference between two cones' volumes.
- This formula can be manipulated to rely on information from the frustum only.
Keywords
Frustum - A frustum is the 3D shape made from a cone by making a cut parallel to its circular base and removing the resultant smaller cone.
Volume - Volume is the amount of space occupied by a closed 3D shape.
Common misconception
Pupils may think that if you cut the height of the cone in a half, the resulting frustrum will have half the volume of the original cone.
The frustrum is actually seven eighths of the volume of the original cone; the small cone that was removed to create the frustrum is one eighth the volume of the original cone if the frustrum and the small cone have the same height.
To help you plan your year 11 maths lesson on: Volume of a frustum of a cone, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Volume of a frustum of a cone, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
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Explore more key stage 4 maths lessons from the 2D and 3D shape: surface area and volume (pyramids, spheres and cones) unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Starter quiz
6 Questions
Exit quiz
6 Questions
15 cm
5 cm
20 cm
