Differentiation - Connected Rates of Change

Differentiation - Connected Rates of Change

The diagram shows a container in the shape of an inverted cone, where the base radius is \(5\) cm and the height is \(15\) cm. Water is poured into the container at a rate of \(12\pi\) cm\(^3\)/s. Find the rate of increase in the radius of the water surface when the height is \(6\) cm.

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Answer:\(1\text{ cm/s}\)

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