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Math Help - more volume of resulting solid

  1. #1
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    more volume of resulting solid

    The region between the graphs of y=x2 and y=2x is rotated around the line x=2.
    The volume of the resulting solid is


    ok i need some more help with this one



    |2
    | pi[(2-x^2)^2-(2-2x)^2]
    |0

    im not sure what im doing wrong here
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  2. #2
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    Quote Originally Posted by dat1611 View Post
    The region between the graphs of y=x2 and y=2x is rotated around the line x=2.
    The volume of the resulting solid is


    ok i need some more help with this one



    |2
    | pi[(2-x^2)^2-(2-2x)^2]
    |0

    im not sure what im doing wrong here
    you have to use cylindrical shells w/r to x ...

    V = 2\pi \int_0^2 (2-x)(2x-x^2) \, dx

    ... or washers w/r to y.

    V = \pi \int_0^4 \left(2-\frac{y}{2}\right)^2 - (2-\sqrt{y})^2 \, dx
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