Mathematics 0580 · IGCSE · Surface area and volume

Surface area and volume — practice question

The diagram illustrates a container used to store grain.
(a(i))[2]

Calculate the volume of the hemisphere. Write your answer as a multiple of $\pi$.

(a(ii))[4]

Calculate the value of $h$.

(a(iii))[3]

Calculate the time taken to empty the container. Give your answer in hours and minutes.

(b)[4]

Calculate the value of $r$.

Worked solution & mark scheme

This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$5\frac{1}{3}\pi$ or $\frac{16\pi}{3}$” …

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