Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 21 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by V=1/3πr^2h.

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anonymous · Answer

Didn't feel like typing it out, so I worked it out on paper. A scan is attached.

anonymous · Answer

Check my work (I was going fast) and feel free to ask me anything.