1. The problem statement, all variables and given/known data Hey i have a problem here with volume by cylindrical shells. i wanted to find the given volume of the solid obtained by rotating the region bounded by the curves x=1+(y-2)^2 and x=2 about the x axis. 2. Relevant equations we tried to integrating 2 phi f(y) dy with upper limit 3 and lower limit 1. 3. The attempt at a solution we got the answer 33.5 but i dont think it is the correct one. immediate help will be appreciable.