Homework Help: Calc

Posted by Pierre on Thursday, October 28, 2010 at 11:36pm.

Gravel is being dumped from a conveyor belt at a rate of 10 ft^3/min. 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 23 feet high?

Calc - Sarah, Tuesday, October 18, 2011 at 9:47pm
Im working on same problem..... sorry no help here
Calc - Susanna, Thursday, October 25, 2012 at 7:50pm
volume of cone = (1/3)pi(r^2)h
but h=2r or r = h/2
then volume = (1/12)pi(h^3)
dV/dt = (1/4)pi (h^2) dh/dt

10 = (1/4)pi (23^2)dh/dt solve for dh/dt

Answer this Question

Related Questions

calc - Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet ...
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 30 cubic ...
calculus - Gravel is being dumped from a conveyor belt at a rate of 30 cubic ...
Please help Math - Gravel is being dumped from a conveyor belt at a rate of 20 ...
calculus - Gravel is being dumped from a conveyor belt at a rate of cubic feet ...
calculus - Gravel is being dumped from a conveyor belt at a rate of 50 cubic ...
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 50 cubic ...

For Further Reading

First Name:
School Subject:
Answer: