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Homework Help: Volume of a Solid using Triple Integrals

  1. Nov 19, 2009 #1
    1. The problem statement, all variables and given/known data

    Use a triple integral to find the volume of the solid enclosed by the cylinder z=y2 and the planes x=0, x=6, and z=16. Set up the integral in rectangular coordinates and work it out in any coordinates.




    2. Relevant equations



    3. The attempt at a solution

    I set up the triple integral using these orders of integration:

    D = { (x,y,z) | 0 < x < 6, -4 < y < 4, y2 < z < 16 }

    And I obtained an answer of 512. I just wanted to make sure that I did all the work correctly, and that someone more experienced could say if it is correct.
    Thank you!
     
  2. jcsd
  3. Nov 19, 2009 #2

    LCKurtz

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    Your limits look good so if you didn't make any arithmetic mistakes it should be correct.
     
  4. Nov 19, 2009 #3
    Thank you very much, Mr Kurtz!
     
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