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Math Help - Calc2...Finding the volume

  1. #1
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    Calc2...Finding the volume

    Calc2...Finding the volume-10.png
    This is what I have done:
    1) The end points are 8 and 3.
    2) then I am taking the integral of y = -x^2+11x-24 and then multiplying by 2pi.
    the final comes 125pi/3..which is wrong.

    Any help

    thanks
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  2. #2
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    use the method of disks ...

    \displaystyle V = \pi \int_a^b [r(x)]^2 \, dx

    where r(x) is the radius of a representative disk formed by rotating the curve ... in this case, r(x) = -x^2 + 11x - 24 , a = 3 , and b = 8.
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  3. #3
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    thanks
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