Differentiation - Connected Rates of Change

Differentiation - Connected Rates of Change

TGM Original Questions

The total surface area of a cylinder with a fixed height of \(3\) cm is decreasing at a constant rate of \(5\) cm\(^2\)/s. Find the rate of change of the volume of the cylinder when \(r = 2\) cm.

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Answer:\(-\dfrac{30}{7}\text{ cm}^3\text{ s}^{-1}\)

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