Differentiation - Connected Rates of Change
Differentiation - Connected Rates of Change
4 marks
A conical water tank with vertex down has a radius of \(10\text{ m}\) at the top and is \(24\text{ m}\) high. If water flows into the tank at a rate \(20\text{ m}^3\text{s}^{-1}\), how fast is the depth of the water increasing when the water is \(16\text{ m}\) high?[4]
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Answer:\(\dfrac{9}{20\pi}\text{ m s}^{-1}\)
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