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Water is being pumped into an inverted conical tank at a constant rate

Math

Water is being pumped into an inverted conical tank at a constant rate. The tank has height 15 meters and the diameter at the top is 16 meters. If the water level is rising at a rate of 0.08 meters per minute when the height of the water is 6 meters, find the rate at which water is being pumped into the tank in cubic meters per minute. Present the approximate value of the answer. The approximation should be accurate to the nearest thousandths (three decimal places).


The volume of a cone is given by (h/3)πr2


Approximate value of V'(t) = ____ (m3/min)

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