Differentiation - Connected Rates of Change
Differentiation - Connected Rates of Change
The total surface area of a cylinder with a fixed height of \(3\) cm is decreasing at the rate of \(5\) cm\(^2\)/s. Find the rate of change of the volume when the radius is \(2\) cm.
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Answer:\(\frac{\mathrm{d}V}{\mathrm{d}t}=-\frac{30}{7}\text{ cm}^3\text{ s}^{-1}\)
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