(Solution Library) Sand is being poured onto a conical pile at a rate of 500 ft 3 /min. If the ratio of the height of the radius of the pile remains equal to


Question: Sand is being poured onto a conical pile at a rate of 500 ft 3 /min. If the ratio of the height of the radius of the pile remains equal to 3/4, find how fast the pile is growing in height when the height is 20 feet.

Recall: V = (1/3)PIr^2h

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