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Thread: Volumes of solids of revolutions

  1. January 27th 2009, 04:57 PM #1
    nystudent2729
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    Volumes of solids of revolutions

    Find the volume of the solid obtained by rotating the region bounded by the graphs of y=x^(2) and x=y^(2) around the line x=-1.
    Thanks for the help.
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  2. January 27th 2009, 05:08 PM #2
    skeeter
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    using cylindrical shells w/r to x ...

    V = 2\pi \int_0^1 (x+1)(\sqrt{x} - x^2) \, dx<br />

    using washers w/r to y ...

    V = \pi \int_0^1 (\sqrt{y} + 1)^2 - (y^2 + 1)^2 \, dy
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