Mathematics 0580 · IGCSE · Compound shapes and parts of shapes

Compound shapes and parts of shapes — practice question

The diagram depicts a toy. The toy has the form of a cone with radius 4 cm and height 9 cm, placed on a hemisphere with radius 4 cm. Diagram is NOT TO SCALE. Formulae given: The volume, $V$, of a cone with radius $r$ and height $h$ is $V = \frac{1}{3}\pi r^2 h$. The volume, $V$, of a sphere with radius $r$ is $V = \frac{4}{3}\pi r^3$.
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Work out the volume of the toy. Give your answer accurate to the nearest cubic centimetre.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\frac{1}{3} \times \pi \times 4^{2} \times 9$

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