Homework Help: calculus

Posted by Tiffany on Saturday, March 24, 2012 at 7:34pm.

1. A conical reservoir has a depth of 24 feet and a circular top of radius 12 feet. It is being filled so that the depth of water is increasing at a constant rate of 4 feet per hour. Determine the rate in cubic feet per hour at which water is entering the reservoir when the depth is 5 feet.

calculus - Damon, Saturday, March 24, 2012 at 7:56pm
dv = pi r^2 dh
where
r = (12/24)h = .5 h
so
dv = pi (.25)h^2 dh
dv/dt = .25 pi h^2 dh/dt
when h = 5
dv/dt = (25 pi/4 )dh/dt
dv/dt = (25 pi/4)(4)

Answer this Question

Related Questions

calculus - Water is flowing freely from the bottom of a conical tank which is 12...
Calculus - A conical vessel is 12 feet across the top and 15 feet deep. If it ...
calculus - A conical water tank with vertex down has a radius of 12 feet at the ...
Calculus - I really need help with this problem. A conical vessel is 12 feet ...
calculus-rate problem - A conical tank (with vertex down) is 10 feet acros the ...
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 ...
AP calculus - The base of a cone-shaped tank is a circle of radius 5 feet, and ...
AP calculus AB - Water pours out of a conical tank of height 10 feet and radius ...
calculus - Suppose that water is pouring into a swimming pool in the shape of a ...

For Further Reading

First Name:
School Subject:
Answer: