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Math Help - Volume by rotation

  1. #1
    Junior Member
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    Volume by rotation

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis
    y=0, y=x(1-x), about the axis, x=0

    I have the graph, but this seems to be missing something. I assume it is around the x axis but what would my bounds be since x=0?

    I am sure this is simple, but I 'm not seeing it.

    Can anyone help please?
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  2. #2
    Senior Member
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    use shell method

    dV=2\pi xydx

    =2\pi x (x(1-x)) dx

    integrate it from x=0 to x=1
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  3. #3
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    Thank you very much, got the answer correct.
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