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Triple integration question

  1. Feb 12, 2017 #1
    1. The problem statement, all variables and given/known data
    Shown in the photo attached. Screen Shot 2017-02-12 at 11.05.57.png

    2. Relevant equations

    V r2Sinθdθdφdr in spherical coordinates
    V dxdydz in cartesian coordinates
    equation of a sphere x2+y2+z2=r2
    3. The attempt at a solution
    In this case y=(y-2): sphere displaced on the y-axis. and since it is bound by all planes its going to be one quarter of a sphere. I don't get the part where the question says translate the origin to the shape centre, how can I do this? and also I need someone to check my limits of integration. I attached my answer. IMG_7777.JPG
  2. jcsd
  3. Feb 12, 2017 #2


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    Can't say I understand your integration limits for the second part. Care to explain ? And where does the factor 2 come from ?
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