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Math Help - Revolution of a solid

  1. #1
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    Revolution of a solid

    Let R be the region of the first quadrant bounded by the X-axis and the curve y=2x-x^2.

    a.) Find the volume produced when R is revolved around the X-axis.
    b.) Find the volume produced when R is revolved around the Y-axis.

    So for (b) I got [16(pi)]/15. Is that correct? I'm having a hard trouble with (a) because I know I have to change it to x= but how can I without ending up with an implicit function? Any help would be highly appreciated.
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  2. #2
    MHF Contributor Calculus26's Avatar
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    solution

    16pi/15 is your answer to a

    for b use the shell method and you easily get 8pi/3
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  3. #3
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    You are right it was so simple and I didn't have to change a thing. Thanks!
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