2013 IJC P1 Q2

2013 IJC P1 Q2

5 marks

Prelims

The surface area of a sphere of radius \(r\) cm is decreasing at a rate of \(2.5\) cm\(^{2}\) s\(^{-1}\) at an instant when \(r=5\). Calculate the rate of decrease, at this instant, of the volume of the sphere.[5]

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Answer:\(6.25\text{ cm}^3\text{ s}^{-1}\)

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