Question

What is the volume of the solid generated by revolving the region bounded by y = sqrt(x), y=0, and x=4 about the line x=4?

Answer 1

I'm not sure how to set up the question so I get the right volume- all the examples I can find never have the graph touching the line it's being revolved around.

Answer 2

So I'm not sure what to do...

Answer 3

I know that's what it looks like, but I'm not sure how to calculate it.

Answer 4

I tried doing the integral of pi(y^4) from 2 to 0, since y^2 seems to be the radius, but got the wrong answer.