1. The problem statement, all variables and given/known data x=y^(2), x=4, about the x axis. 2. Relevant equations 2pi* integral from a to b of radius*height of function*thickness 3. The attempt at a solution I have 2pi* integral from -2 to 2 of y*(4-y^(2)) dy but that does not make any sense. Answer comes out to be 0. The real answer is 8pi. I know how to do this with the disk method just not the shell method. Thank for the help!!