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Math Help - volume problem

  1. #1
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    volume problem

    Let R be the region bounded by the curves
    y=2x and x=4y-y^2

    rotated around the x-axis

    how do i set up the formula?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by khuezy View Post
    Let R be the region bounded by the curves
    y=2x and x=4y-y^2

    rotated around the x-axis

    how do i set up the formula?
    Did you draw a diagram?

    Use the Shell Method here.

    The required volume is given by:

    V = 2 \pi \int_0^{7/2} y \left( 4y - y^2 - \frac y2 \right)~dy

    Any questions?
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  3. #3
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    how

    do i find the bound? how did you get 7/2
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  4. #4
    Lord of certain Rings
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    Quote Originally Posted by khuezy View Post
    do i find the bound? how did you get 7/2
    Thats where the parabola and the line intersect...
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