1. Not finding help here? Sign up for a free 30min 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!

Spherical coordinates

  1. Nov 29, 2011 #1
    1. The problem statement, all variables and given/known data

    I am having so much trouble with this one problem ( and spherical coordinates in general ).

    Any help would be amazing:
    ∫∫∫ 1 / √(x2+y2+z2)

    Over -4≤x≤4, 0≤y≤√(16-x2), 0≤z≤√(16-x2-y2)


    2. Relevant equations



    3. The attempt at a solution
    I know that rho2 will replace √(x2+y2+z2) in my integral, but I am having a really hard time understanding what my limits of integration should be for rho,phi, and theta. I think it is some sort of a snow cone, where theta is from 0 to pi/2 but I'm really not sure.
     
  2. jcsd
  3. Nov 29, 2011 #2
  4. Nov 30, 2011 #3
    Your volume is a quarter of a ball. A ball cut in 4 pieces by two ortogonal planes.
    This is 0<rho<4, 0<theta<pi, 0<phi<pi/2
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Spherical coordinates
  1. Spherical coordinates (Replies: 2)

  2. Spherical coordinates (Replies: 2)

  3. Spherical Coordinates (Replies: 6)

  4. Spherical coordinates. (Replies: 9)

  5. Spherical coordinates (Replies: 6)

Loading...