HEY EVERYONE! Sorry for putting up another quesiton, but i'm almost done my assignment for the week. I understanding volumes by cylindrical shells, but i get confused when rotating about a line thats not the x or y axis. I have uploaded the two questions.
The Attempt at a Solution
For the first question here is the integral i set up:
(2pi) integral from 0 to 4 of x(32-x^2-x^2)dx
For the second integral i set up:
(2pi) integral from y(8- cuberoot(64y)) dy
I am probably doing the same thing wrong in both questions since both are rotating about a line which the shaded region is touching. If someone could tell me where i'm going wrong in my integrals i'd appreciate it :)