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Thread: Volumes by Rotation

  1. March 3rd 2009, 04:30 PM #1
    kinana18
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    Volumes by Rotation

    Find the volume of the solid that results when the region enclosed by y= the square root of x, y=0, and x=9 is revolved about the line x=9.
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  2. March 3rd 2009, 04:53 PM #2
    mollymcf2009
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    Quote Originally Posted by kinana18 View Post
    Find the volume of the solid that results when the region enclosed by y= the square root of x, y=0, and x=9 is revolved about the line x=9.
    Use cylindrical shells in terms of x.

    Your integral will be:

    \int\limits^{9}_{0} 2\pi (9-x)(\sqrt x) dx
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