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?

Hello, JonathanEyoon!

Quote:

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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.

. .

Is my graph drawn wrong? . . . . yes

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Code:

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            |
      *    |1
            *
            |::::*
            |::::::*
            |:::::::*
            |::::::*
            |::::*
    - - - - * - - - - -
      *    |0
            |

---

Now try it . . .

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