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in Mathematics by (63.7k points)

Sand is being poured on the ground from the orifice of an elevated pipe and forms a pile which has always the shape of a right circular cone whose height is equal to the radius of the base. If the sand is falling at the rate of 6 cubic feet per second, find the rate at which the height of the pile is rising when the height is 5 ft.

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Let h be the height, r be the radius, V be the volume of the conical pile at the time t.

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