## anonymous 3 years ago The base of the solid is in the region between the x-axis and the parabola y=4-x^2. The cross sections of the solid Perpendicular to the y-axis are semicircles. Compute the volume of the solid.

1. anonymous

I realize I am Integrating with respect to y since the semicircles are perpendicular to the y-axis. I found the intersection points to be from -2 to 2. Those are also the limits of integration. I am having trouble setting up the integral however.

2. anonymous

I also know that the area of a semicircle is:$\frac{ \pi r^2 }{ 2 }$

3. anonymous

@campbell_st @Hero @AravindG @Agent_Sniffles

4. anonymous

@precal

5. precal

I think if you draw it, it helps but this is not my strong point

6. anonymous

Ohh I forgot to mention since I am integrating with respect to y the limits of integration are from 0 to 4 sorry.

7. precal

still not my strong point

8. anonymous

Thanks anyways :) .

9. anonymous

|dw:1357612463086:dw|

10. precal

sorry I wish I could help @satellite73 can you help on this one?

11. anonymous

Don't worry about it. :) . I almost have it but I wonder if I can change the "r" in the semicircle to an x in someway/

12. anonymous

@hartnn

13. anonymous

Never mind. I got it.