## monroe17 Group Title just help me set it up and I'll solve it :) Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2, y=0, x=2, about the y-axis one year ago one year ago

1. 120210 Group Title

If you visualize the graph of y (where y=0 and x=2 are boundaries), you will see that its domain is in the first quadrant from y = 0 to 4. We need it in terms of y if we want to use the disc method, so x = sqrt{y}. Therefore integrate $\pi \int\limits_{0}^{4}(\sqrt{y})dy$

2. monroe17 Group Title

I got 12pi?

3. 120210 Group Title

4. monroe17 Group Title

nope thats wrong... mine is too

5. 120210 Group Title

I forgot to square the radius. Integrate y.

6. 120210 Group Title

pi(y^2/2) from 0 to 4

7. 120210 Group Title

8pi