Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per...

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Gravel is being dumped from a conveyor belt at a rate of 40cubic feet per minute. It forms a pile in the shape of a rightcircular cone whose base diameter and height are always the same.How fast is the height of the pile increasing when the pile is 21feet high? Recall that the volume of a right circular cone withheight h and radius of the base r is given by

V=(1/3)Ï€r2h

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