The total surface area of a cylinder with a fixed height of $3$ cm is decreasing at the rate of \(

Question

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.

Accepted Answer

$\frac{\mathrm{d}V}{\mathrm{d}t}=-\frac{30}{7}\text{ cm}^3\text{ s}^{-1}$

Differentiation

Differentiation

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