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Suppose that liquid is to be cleared of sediment by allowing it to drain through a conical filter that is 16 cm high and has
Suppose that liquid is to be cleared of sediment by allowing it to drain through a conical filter that is 16 cm high and has a radius of 4 cm at the top. Suppose also that the liquid is forced out of the cone at a constant rate of 2 3 /min cm . At what rate is the depth of the liquid changing at the instant when the liquid in the cone is 8 cm deep?
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