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Math Help - Plz help with volume homework due tomorrow.

  1. #1
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    Plz help with volume homework due tomorrow.

    (1) The region bounded by the given curves is rotated about y = 9.
    x=(y-10)^2 , x=1.
    Find the volume V of the resulting solid by any method.

    and

    (2) The region bounded by the given curves is rotated about the y-axis.
    y=-x^2+15x-54, y=0.
    Find the volume V of the resulting solid by any method.
    Last edited by mr fantastic; September 12th 2010 at 06:57 PM. Reason: Deleted ridiculous number of !'s in title.
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  2. #2
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    Quote Originally Posted by chinex View Post
    (1) The region bounded by the given curves is rotated about y = 9.
    x=(y-10)^2 , x=1.
    Find the volume V of the resulting solid by any method.

    same as rotating the region bounded by y = (x-1)^2 and y = 1 about the y-axis ... recommend the method of cylindrical shells

    and

    (2) The region bounded by the given curves is rotated about the y-axis.
    y=-x^2+15x-54, y=0.
    Find the volume V of the resulting solid by any method.

    the zeros of the curve will be the limits of integration ... recommend the method of washers
    ...
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  3. #3
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    Thread closed (see MHF policy on questions that count towards final grade).
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