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Homework Help: Calc 3- Triple Integral using cylindrical coordinates

  1. Apr 12, 2010 #1
    Use cylindrical coordinates to evaluate the triple integral , sqrt(x^2+y^2) where the region integrated is the solid bounded by the circular paraboloid z=9-16(x^2+y^2) and the xy-plane.


    I'm having trouble deciding what the bounds for r would be.
     
  2. jcsd
  3. Apr 13, 2010 #2

    lanedance

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    try drawing a cross section, say in the x-z plane

    you should be able to find r as a function of z & the z bounds should be clear from the problem
     
  4. Apr 13, 2010 #3
    Thank you!
     
  5. Apr 13, 2010 #4

    lanedance

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    no worries ;)
     
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