Mathematics 0580 · IGCSE · Surface area and volume

Surface area and volume — practice question

For this question, every measurement is given in centimetres. Solid A consists of a cylinder and a hemisphere, each with radius 2R. The cylinder has a height of 5R. Solid B is a cone with radius R and sloping edge x. The total surface area of solid A is the same as the total surface area of solid B.
(main)[5]

Find R expressed in terms of x.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “R=\frac{x}{31}” …

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