2025 IGCSE Additional Mathematics May/June 0606/22 Q6

6 marks

The volume, \(V\), of a sphere is increasing at the constant rate of \(2\pi\text{ cm}^3\text{ s}^{-1}\).

Find the rate of change of the surface area, \(S\), of this sphere when the volume of the sphere is \(36\pi\text{ cm}^3\).[6]

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Answer:\(\dfrac{4\pi}3\text{ cm}^2\text{ s}^{-1}\)

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