## anonymous 3 years ago 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

1. anonymous

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. anonymous

I got 12pi?

3. anonymous

4. anonymous

nope thats wrong... mine is too

5. anonymous

I forgot to square the radius. Integrate y.

6. anonymous

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

7. anonymous

8pi