solve : Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the
solve : Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the
shape of a right circular cone whose base diameter and height are always equal. How fast is the height of
the pile increasing when the pile is 22 feet high?
Recall that the volume of a right circular cone with height h and radius of the base r is given by
1
V =
ft
min

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