Mathematics 0580 · IGCSE · Surface area and volume

Surface area and volume — practice question

The diagram depicts a hollow cone whose radius measures 3 cm and whose slant height is 10 cm.
(a(i))[2]

Calculate the cone's curved surface area.

(a(ii))[3]

Calculate the perpendicular height of the cone.

(a(iii))[2]

Calculate the cone's volume.

(b)[4]

Calculate the angle of the sector, $x$.

(c)[4]

Calculate the area of the shaded segment.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The substitution is $\pi \times 3 \times 10$.” …

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