Results 1 to 3 of 3

Math Help - Calc 3- Volume using spherical coordinates

  1. #1
    Junior Member krtica's Avatar
    Joined
    Apr 2010
    Posts
    26

    Calc 3- Volume using spherical coordinates

    Q: Use spherical coordinates to evaluate:



    Where E is the region bounded by the spheres and.



    A?: I put rho's limits from 4 to 7, phi's from 0 to pi, and theta's from 0 to 2pi. I evaluated the triple integral at {e^(-rho^2)/rho}* rho^2*sin(phi).

    I may have set it up incorrectly. My final answer came out to be , which is not right.

    Please help, I'd really appreciate your response.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Apr 2010
    Posts
    3

    Answer

    Your answer should be -2 pi[ e^{-49}-e^{-16}].

    What I think you did was forgot about re-substituting the u-substitution. u=(-p^2) and du=(-2p)dp.
    Last edited by darres90; April 12th 2010 at 08:00 PM.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member krtica's Avatar
    Joined
    Apr 2010
    Posts
    26
    Thank you.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: March 28th 2011, 11:40 PM
  2. Replies: 3
    Last Post: July 6th 2010, 02:00 PM
  3. Finding Volume using spherical coordinates
    Posted in the Calculus Forum
    Replies: 4
    Last Post: March 26th 2010, 07:35 PM
  4. 3D volume problem with spherical coordinates
    Posted in the Calculus Forum
    Replies: 1
    Last Post: August 6th 2009, 03:36 AM
  5. Replies: 2
    Last Post: April 11th 2009, 07:07 AM

Search Tags


/mathhelpforum @mathhelpforum