This resource is for KS4 students taking the Higher paper. The resource consists of a presentation and a worksheet. Worked solutions of all questions on the worksheet are included in the presentation.
Calculating the volume of cones is revised.
The idea of a frustum as a larger cone with a smaller cone removed is introduced. Students practice subtracting the given volume of one cone from the given volume of another.
The side elevations of the two cones are treated as similar isosceles triangles and the perpendicular heights and diameters of the base are treated as equivalent ratios. Students do an activity using equivalent ratios to find missing lengths and then a second activity to be able to deduce the perpendicular height and radius of base of the two cones.
An example of finding the volume of a frustum from the radii of the circular faces and the perpendicular height of the frustum. Students end the lesson completing a worksheet of 5 questions with the last 2 questions being square-based frustum.
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