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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
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