Posted by Anonymous on .
Gravel is being dumped from a conveyor belt at a rate of cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile increasing when the pile is feet high?
Hint: The volume of a right circular cone with height and radius of the base is given by .
Diameter is equal to height, or
2r = h ---> r = h/2
V= (1/3)πr^2 h
dV/dt = (1/4)π h^2 dh/dt
You did not list the given data in your post.
Once you have them, just sub in to finish the question.