1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Volume of liquid in a tank using a double integral

  1. Mar 1, 2010 #1
    1. The problem statement, all variables and given/known data
    The fluid level in the tank ((1/4)*(x-4)^2 + y^2 == 4) is 7 m on the left edge of the tank (where x=0) and 5 m on the right edge (where x=8). Find the equation of the plane of the liquid, and use a double integral to find the volume of liquid in the tank. [Hint: you should use a "dy dx" iterated integral, where the bounds on y depend on x, and are given by the equation of the base of the cylinder.]

    2. Relevant equations
    tank equation: (1/4)*(x-4)^2 + y^2 == 4

    3. The attempt at a solution
    I have found the equation of the plane of liquid to be: z=7 - 2 x/8, I am not sure if this is correct. I am confused on what the bounds would be for the double integral and what would be the integrand since the tank equation is set equal to a number.

  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted