Posted by Mike on Friday, November 30, 2012 at 10:48am.
at a depth of h ft, the radius of the water surface is r=(12/23)*h ft
v = 1/3 pi r^2 h
= pi/3 * (12/23)^2 * h^3
dv/dt = pi(12/23)^2 h^2 dh/dt
20 = pi(12/23)^2 (17)^2 dh/dt
dh/dt = 2645 / 10404pi = 0.081 ft/min = 0.97 in/min
Related Questions
calculus - A conical tank( with vertex down) is 10 feet across the top and 18 ...
Math - A conical water tank with vertex down has a radius of 10 feet at the top ...
calculus-rate problem - A conical tank (with vertex down) is 10 feet acros the ...
calculus - Water is flowing freely from the bottom of a conical tank which is 12...
Calculus - You have a conical tank, vertex down, which is 12 feet across the top...
Math - A conical tank (with its vertex down) is 8 feet tall and 6 feet across ...
College Math - a conical tank is 15 feet deep and has an open top whose radius ...
AP calculus - The base of a cone-shaped tank is a circle of radius 5 feet, and ...
AP Calculus.HELP! - Water runs into a conical tank with radius 5 and altitude 10...
AP calculus AB - Water pours out of a conical tank of height 10 feet and radius ...
For Further Reading
