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Gravel is being dumped from a conveyor belt at a rate of [math] 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
[math] feet high? Recall that the volume of a right circular cone with height [math]
and radius of the base [math] is given by [math].

When the pile is [math] feet high, its height is
increasing at
feet per minute.