Posted by Anonymous on Sunday, November 4, 2012 at 8:56pm.
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 .

calculus  Reiny, Monday, November 5, 2012 at 12:19am
Diameter is equal to height, or
2r = h > r = h/2
V= (1/3)πr^2 h
= (1/3)π(h^2/4)(h)
= (1/12πh^3
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.
Answer This Question
Related Questions
 calculus  Gravel is being dumped from a conveyor belt at a rate of 30 cubic ...
 calculus  Gravel is being dumped from a conveyor belt at a rate of 30 cubic ...
 calculus  Gravel is being dumped from a conveyor belt at a rate of 10 cubic ...
 calculus  Gravel is being dumped from a conveyor belt at a rate of 50 cubic ...
 Calculus  Gravel is being dumped from a conveyor belt at a rate of 50 cubic ...
 Calculus  Gravel is being dumped from a conveyor belt at a rate of 10 cubic ...
 Please help Math  Gravel is being dumped from a conveyor belt at a rate of 20 ...
 Math  Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet ...
 calculus  Gravel is being dumped from a conveyor belt at a rate of 50 cubic ...
 Calculus  Gravel is being dumped from a conveyor belt at a rate of 10 cubic ...
More Related Questions