Mathematics 0580 · IGCSE · Surface area and volume

Surface area and volume — practice question

A solid is produced by removing a smaller cone from a larger cone, as shown in the diagram. The larger cone has a height of 12.5 cm. The height of the solid is 5.5 cm. The diameter of the base of the larger cone is 9.2 cm. The diagram is marked NOT TO SCALE. The volume $V$ of a cone with radius $r$ and height $h$ is $V=\frac{1}{3}\pi r^2h$.
(main)[4]

Calculate the volume of the solid.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct frustum volume method

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