1. The problem statement, all variables and given/known data Given the following curve: y = x^3 Use shell method and rotate around x-axis to determine the volume bounded region: y = 8, x = 0 2. Relevant equations 2pixy 3. The attempt at a solution x(x^3) = x^4 Integrate x^4 = 1/5 x^5 1/5(8)^5 = 6553.6 *2 = 13107.2 pi the answer should be 768/7 pi, where did I go wrong? thanks.