Results 1 to 2 of 2

Thread: 3D volume problem with spherical coordinates

  1. #1
    Super Member
    Joined
    Mar 2006
    Posts
    705
    Thanks
    2

    3D volume problem with spherical coordinates

    Find the volume of a solid between the graph of $\displaystyle z=0$ and $\displaystyle z= \frac {1}{(x^2+y^2)^{25}} $, and outside the cylinder $\displaystyle x^2+y^2=1$.

    Guys, I haven't done triple variables for a long time, how should I start? Thank you.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member slider142's Avatar
    Joined
    May 2009
    From
    Brooklyn, NY
    Posts
    72
    Note the cylindrical coordinate $\displaystyle r = \sqrt{x^2 + y^2}$ being present in the equations. This suggests that this integral is easily computed in cylindrical coordinates. Remember that the volume form in cylindrical coordinates is $\displaystyle r dr d\theta dz$.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: Jul 6th 2010, 01:00 PM
  2. Calc 3- Volume using spherical coordinates
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Apr 12th 2010, 07:51 PM
  3. Finding Volume using spherical coordinates
    Posted in the Calculus Forum
    Replies: 4
    Last Post: Mar 26th 2010, 06:35 PM
  4. Problem with spherical coordinates
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Dec 7th 2009, 06:17 AM
  5. Replies: 2
    Last Post: Apr 11th 2009, 06:07 AM

Search Tags


/mathhelpforum @mathhelpforum