Posted by Anonymous on Tuesday, June 5, 2012 at 11:36pm.
Water is flowing at a rate of 50 cubic meters per minute into a holding tank shaped like a cone, sitting vertex down. The tank's base diameter is 40 m and a height of 10 m.
Write an expression for the rate of change of the water level with respect to time, in terms of h (the water's height in the tank).

CALCULUS  PLEASE HELP  Steve, Wednesday, June 6, 2012 at 12:29pm
using similar triangles, the radius of the water surface at height h can be found
r/h = (40/2)/10 = 2
so, r = 2h
v = 1/3 π r^2 h
= π/3 (2h)^2 h
= 4π/3 h^3
dv/dt = 4π h^2 dh/dt
50 = 4π h^2 dh/dt
dh/dt = 25/(2πh^2)
Answer This Question
Related Questions
 AP CALCULUS!!! HELPP  related rates: the base of a pyramidshaped tank is a ...
 AP CALCULUS!! HELPPP URGENT  related rates: the base of a pyramidshaped tank ...
 Calculus (Help please)  A tank has the shape of an inverted circular cone with...
 calculus  please help!  Water is leaking out of an inverted conical tank at a ...
 calculus(related rates)  Water is leaking out of an inverted conical tank at a ...
 Calculus (pleas help!!!)  Water is leaking out of an inverted conical tank at a...
 Math (Calculus)  A tank has the shape of an inverted circular cone with a base ...
 Math (Calculus)  A tank has the shape of an inverted circular cone with a base ...
 Calculus  Water is leaking out of an inverted conical tank at a rate of 1100.0 ...
 Calculus  Water is leaking out of an inverted conical tank at a rate of 1100.0...
More Related Questions