Mathematics 0580 · IGCSE · Surface area and volume

Surface area and volume — practice question

The diagram represents a solid consisting of a cylinder together with two hemispheres. The radius shared by the cylinder and the hemispheres is 13 cm. The cylinder has length 25 cm.
(a(i))[4]

Calculate the mass of the solid. Write your answer in kilograms.

(a(ii))[4]

Calculate the cost required to paint the solid.

(b)[3]

Find x.

(c)[3]

Calculate the surface area of the larger solid.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: $2 \times \frac{2}{3} \pi \times 13^3 + \pi \times 13^2 \times 25$

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