1. The problem statement, all variables and given/known data So I'm completely confused on how to solve shell method problems. I think understand it, and then theres a problem that shows that I do not understand it at all. So I want to start basic When you're the following : rotated about the x-axis #1) y=x^3 x=0 y=8 2)x+y=4 y=x y=0 2. Relevant equations 2∏∫p(y)h(y)dy 3. The attempt at a solution 1) So I solve for x and get x=cubert(y) Now what? I want to know why I would plug in Y for the radius, and how do I find the limits of integration from this? It seems that sometimes you just plug in Y and sometimes it's some long equation. 2) Again, I solve for X, so h(x)=4-y and once again am stumped on what to do next, how do I know what p(x) is and what the limits of integration are. I don't know what purpose y=x serves and what y=0 serves.