1. The problem statement, all variables and given/known data Find the volume of the solid generated by revolving the region between the parabola x = y^2 + 1 and the line x = 3 about the line x = 3. 2. Relevant equations The answer is found by integrating with respect to y with disk method, but I don't understand why my answer is incorrect when I try to integrate it with dx. 3. The attempt at a solution The exact answer when integrated with respect to y is 64*pi*√(2)/15. This is the integral I am incorrectly setting up somehow: 2*∫ pi * (√(x-1))^2 dx, x = 1 to 3 Any ideas why this doesn't work?