Results 1 to 1 of 1

Math Help - Triple integral volume

  1. #1
    Newbie
    Joined
    Apr 2011
    Posts
    13

    Triple integral volume

    Hello, the question asks me to find the volume of the region above z=\sqrt{x^2+y^2} and x^2+y^2+z^2=2az.

    I get to the integral \int^{2\pi}_0 \int^{\frac{\pi}{2}}_{\frac{\pi}{4}} \int^{2a}_0 \rho^2 \sin \phi d \rho d \phi d \theta but I get the wrong answer (answers say it is \pi a^3.

    What is wrong with my integral?

    Thanks

    EDIT: I think I know the mistake I made. I now end up with the integral \int^{2\pi}_0 \int^{\frac{\pi}{2}}_{\frac{\pi}{4}} \int^{2a \cos \phi}_0 \rho^2 \sin \phi d \rho d \phi d \theta but I still get the wrong answer... I get \frac{\pi a^3}{3}... are the answers wrong, or...?

    EDIT 2: I've solved this problem... I don't need any more help on this. Thanks
    Last edited by minifhncc; May 6th 2011 at 10:27 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Volume involving a triple integral
    Posted in the Calculus Forum
    Replies: 3
    Last Post: January 19th 2011, 07:41 PM
  2. volume, triple integral
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 17th 2010, 08:09 PM
  3. triple integral - volume
    Posted in the Calculus Forum
    Replies: 6
    Last Post: November 29th 2009, 08:03 AM
  4. Triple integral - volume
    Posted in the Calculus Forum
    Replies: 4
    Last Post: August 14th 2008, 10:39 PM
  5. triple integral volume problem
    Posted in the Calculus Forum
    Replies: 8
    Last Post: July 24th 2006, 06:23 PM

Search Tags


/mathhelpforum @mathhelpforum