Question
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?
Answers
Sarah
Im working on same problem..... sorry no help here
Susanna
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
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