Mathematics 0580 · IGCSE · Surface area and volume

Surface area and volume — practice question

The diagram depicts a solid cone. Its radius measures 8 cm and its slant height is 17 cm.
(a(i))[2]

Calculate the cone's curved surface area.

(a(ii))[4]

Calculate the volume of the cone.

(a(iii))[1]

Calculate the mass of the cone.

(a(iv))[1]

Calculate the mass of the box. Express your answer in grams.

(b(i))[4]

Find the volume of the sphere expressed as a fraction of the volume of the cylinder. Give your answer in its lowest terms.

(b(ii))[4]

Find the curved surface area of the cylinder, and write your answer in terms of $\pi$.

Worked solution & mark scheme

This 16-mark question has a full step-by-step worked solution and mark scheme. One marking point: $17\times8\pi$

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