## anonymous 5 years ago Consider the given curves to do the following. x=4sqrt(y) x = 0 y = 1 Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis.

1. anonymous

Draw a diagram to visualize the problem.

2. anonymous

i put it so that its in x terms. so its y = (x^2)/16. am i able to do that?

3. anonymous

Yes you can

4. anonymous

$2\pi \int\limits_{0}^{1}y(4y^(1/2))dy$

5. anonymous

sorry its suppose to be 4y^1/2

6. anonymous

is that set up correctly?

7. anonymous

Let me calculate.

8. anonymous

Sorry, had to take a call. This has a little space between the function and x axis.

9. anonymous

its okay. and yeah it does

10. anonymous

How did you determine the boundary of 1?

11. anonymous

o, oops i think i got it confused for the y=0

12. anonymous

how do you determine the boundary for this integral?

13. anonymous

o wait sorry

14. anonymous

If given freedom you would use washer technique. Instructions call for cylindrical shells, I think, check on this$\int\limits_{0}^{4}2\pi(1-4\sqrt{y})4\sqrt{y}$