Differentiation - Connected Rates of Change

Differentiation - Connected Rates of Change

TGM Original Questions

The radius, \(r\) cm, of a hemisphere is increasing at a constant rate of \(1.2\) cm/s. Find the rate of change of the total surface area of the hemisphere when \(r = 5\) cm. Leave your answer in terms of \(\pi\).

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Answer:\(36\pi\text{ cm}^2\text{ s}^{-1}\)

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