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Suppose that liquid is to be cleared of sediment by allowing it to drain through a...

Suppose that liquid is to be cleared of sediment by allowing it to drain through a conical filter that is 12cm high and has a radius of 4cm at the top. Suppose also that the liquid is forced out of the cone at a constant rate of 2cm3/min. At what rate is the depth of the liquid changing at the instant when the liquid in the cone is 6cm deep ?

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