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Volume of a solid bounded by a paraboloid and the x-y plane

  1. Apr 8, 2016 #1
    1. The problem statement, all variables and given/known data
    43WfOEq.png

    So I am trying to accomplish the above by using spherical coordinates, I am aware the problem may be solved using dv=dxdydz= zdxdy were z is known but I would like to try it using a different approach (using spherical coordinates). Any help would be greatly appreciated

    2. Relevant equations
    54ezPlL.png
    3. The attempt at a solution
    2PCD8Dm.jpg
     
  2. jcsd
  3. Apr 8, 2016 #2

    blue_leaf77

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    Science Advisor
    Homework Helper

    Judging from the integration limit, it can already be seen that your approach is misleading. In fact, you are just calculating the volume of a sphere of radius ##\sqrt{3}##.
    Use cylindrical coordinate instead.
     
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