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Thread: Using polar coordinates to find the volume of a bounded solid

  1. March 25th 2010, 04:57 PM #1
    squeeze101
    squeeze101 is offline
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    Using polar coordinates to find the volume of a bounded solid[Solved]


    I found the equation of the boundary circle by setting z to 4 in the paraboloid.
    Then I did some work to get polar coords:
    x^2+y^2 = 1
    x^2+y^2 = r^2
    1-x^2-y^2 = 1-r^2
    Then I set up my integral as such
    \int_0^{2\pi}\int_{0}^{1}(1-r^2)rdrd\theta
    edit: I used the wrong integrand. It should be 4r-4r^3.
    Last edited by squeeze101; March 25th 2010 at 07:07 PM.
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