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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

    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
    3. The attempt at a solution
  2. jcsd
  3. Apr 8, 2016 #2


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    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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