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Cylindrical coordinate system

  1. Apr 29, 2008 #1
    What are the r and θ limits for the triple integral of y where there's a parabloid cylinder x=y^2 and planes x+z=1 and z=0?

    I rearranged x+z=1 to get z=1-x => so 1-rcosθ; 0 ≤ z ≤ 1-rcosθ
    but I don't know how to get the limits for θ or r. How do I do this?
  2. jcsd
  3. Apr 29, 2008 #2


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    Welcome to PF!

    Hi J Galt! Welcome to PF! :smile:

    (are you trying to find the volume … you didn't say?)

    Just because there's a cylinder, that doesn't mean you have to use cylindrical coordinates. :rolleyes:

    Use whatever method makes it easier! :smile:

    In this case, I'd use horizontal (z = constant) slices, 'cos I think that's easiest! :smile:
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