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: Triple Integration Help

  1. Apr 26, 2009 #1
    1. The problem statement, all variables and given/known data
    Sketch the solid B that lies inside the surface x^2 + y^2 = 1 and is bounded above and below by the surface x^2 + y^2 + z^2= 2^2. Then find the volume of B.

    2. Relevant equations

    projxy = projection onto the xy plane, proj zy = projection on the zy plane

    3. The attempt at a solution
    (See attached)

    http://img511.imageshack.us/img511/440/chibusq.jpg [Broken]

    I just wanted to check whether my definition of the integration is correct, meaning:

    1) Is the function of the integration right? (Since the circle on the xy plane is x^2 + y^2 = 1, i've used that)

    2) Are the limits correct?

    Thanks for any help!
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Apr 26, 2009 #2
    Any help?

    I've converted the above integral into cylindrical coordinates and solved it, and I ended up with Pi*sqrt(3) as the solution. However, it doesnt match the answer of solving the cylinder by using the formula V(cyl)=pi*r^2*h = pi*(1)^2*2*sqrt(3) = pi*2*sqrt(3)
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook