1. The problem statement, all variables and given/known data Find the volume generated by rotating the region bound by the given curves about the x axis 2. Relevant equations x=1+(y-2)^2, x=2 3. The attempt at a solution i solved the problem using cylinder shells method. the solution equation i got was integration of 2phiy(1+y^2-2y+4)dy. the upper limit of the equation i got was 3 and the lower limit was 1. the answer i got was 142.42 but it came out to be wrong. can anyone help me.