Question

use the shell method to find the volume bounded by y= 2sqrt(x), and y=6 rotated around the y-axis

Answer 1

Do you know how to get started with this problem? You can start by drawing the graph.

Answer 2

yes i have the graph already i just don't know how to get the answer

Answer 3

Ok, so how far into the problem do you understand it?

Answer 4

^or what part are you having problems with

Answer 5

I think I started off like this \[2\pi \int\limits_{0}^{6}x(2\sqrt{x})dx\]

Answer 6

but I am not sure

Answer 7

and if its correct I dont know how to continue

Answer 8

Have you drawn the two functions? That's usually a good start.

Answer 9

Your integral is almost correct, make sure to check at what point both functions intersect.