Thread: 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!

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

Code:

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

Now try it . . .

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