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Cylinder volume problem

  1. Oct 23, 2011 #1
    Cylinder volume problem Please Help!

    Basically I've been attempting this question for at least 3 days now and it's driving me insane. The question goes like this - Consider the volume V inside a cylinder x^2 + y^2 = 4R^2 between z=(3x^2 + 2y^2)/R and the xy plane, xyz are cartesian and R is constant - Write down a triple integral using cylindrical co-ordinates for the volume V giving 3 upper and 3 lower limits




    I first started by stating that r = 4R^2 The first limit (LHS to RHS) should surely be 0 to 2π the second should be from the origin to the radius i.e. 0 to 4R^2 and the third limit should be 0 to Z but I'm having a nightmare solving it or finding the right limits, any help would be greatly appreciated as I'm losing serious patience :( TIA.
     
  2. jcsd
  3. Oct 23, 2011 #2
    Re: Cylinder volume problem Please Help!

    What does your triple integral look like?

    And by the way, the radius is r is from the origin 0 to R ( not 0 to 4R^2)
     
  4. Oct 25, 2011 #3
    Re: Cylinder volume problem Please Help!

    Gee. No response. Radius of circle is 2R.
     
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