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Math Help - Volumes

  1. #1
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    Volumes

    Find the volume obtained by rotating the region bounded
    by the given curves about the specified line. Sketch the
    region, the solid, and a typical disk, washer, or shell.

    x =y−y2 , x=0; about y-axis


    Now I graphed this by hand and got the graph below. Now the question is saying to rotate it about the y-axis. Normally i'm given two boundary points but it seems I only have one which is x = 0. I was wondering how do I go about doing this.

    Is my graph drawn wrong?
    Attached Thumbnails Attached Thumbnails Volumes-g1.bmp  
    Last edited by JonathanEyoon; July 8th 2008 at 09:48 AM.
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  2. #2
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    Hello, JonathanEyoon!

    Find the volume obtained by rotating the region bounded
    by the given curves about the specified line. Sketch the
    region, the solid, and a typical disk, washer, or shell.

    . . x \:=\:y-y^2,\;x\,=\,0;\text{ about }y\text{-axis}

    Is my graph drawn wrong? . . . . yes
    Code:
                |
          *     |1
                *
                |::::*
                |::::::*
                |:::::::*
                |::::::*
                |::::*
        - - - - * - - - - -
          *     |0
                |

    Now try it . . .

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  3. #3
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    I thought it was the graph. Thanks alot I appreciate it !!
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