Homework Help: calculus

Posted by Mehak on Monday, March 14, 2011 at 9:44am.

A rectangular prismatic tank has the following dimensions :length is 3 m, width is 2m . And depth is 3m .it is being filled with water and the surface level is rising at 20cm/min.what is the inflow rate of water at the tank ?

calculus - bobpursley, Monday, March 14, 2011 at 11:16am
Ok, volume= 1/2*width*height*length

but the width of the top is 2/3 * height

volume= 1/2 *2/3 h^2*length

dv/dt=2/3 h*length dh/dt

You are given dh/dt, compute dv/dt. Now note that you cant answer this unless you know the depth at that time.

Answer this Question

Related Questions

Calculus - A rectangular prismatic tank has the following dimensions :length is...
Fluid Mechanics - A closed tank, rectangular in plan with vertical sides, is 1....
Calculus - Calculate the work (in joules) required to pump all of the water out ...
calculus - Calculate the work (in joules) required to pump all of the water out ...
Calculus/physics - Calculate the work (in joules) required to pump all of the ...
calculus(work) - a rectangular water tank has a length 20 ft, width 10 ft , and ...
AP CALCULUS!!! HELPP - related rates: the base of a pyramid-shaped tank is a ...
AP calculus - The base of a cone-shaped tank is a circle of radius 5 feet, and ...
AP CALCULUS!! HELPPP URGENT - related rates: the base of a pyramid-shaped tank ...
Calculus - A magic tank starts out 4 inches in length, 4 inches wide, and 12 ...

For Further Reading

First Name:
School Subject:
Answer: