Posted by Nathan on Wednesday, October 9, 2013 at 3:16pm.
Gravel is being dumped from a conveyor belt at a rate of 10 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 18 feet high? (Recall that the volume of a right circular cone with height h and radius of the base r is given by
V = (1/3) * pi * r^2 * h)

Calculus  Steve, Wednesday, October 9, 2013 at 6:46pm
so, you know V, and
dV/dt = 1/3 pi (2r dr/dt + dh/dt)
You know h = 2r and that h = 18 and that dV/dt = 10.
Piece o' cake, no?

Calculus  Sckricks, Thursday, October 10, 2013 at 12:52pm
Ok, but i'm still a little confused on how I get dh/dt by itself
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