1. The problem statement, all variables and given/known data Consider the region bounded by y = x^2 and the line y = 1. Find the exact volume of the solid obtained by rotating the region about the x-axis. 2. Relevant equations 3. The attempt at a solution 1=x^2 x=1 x=0 ∫ π(1-x^2)^2dx from 0 to 1 (πx^5)/5 -(π2x^3)/3 +πx evaluated from 0 to 1 π/5 - π2/3 +π = (3π-10π+15π)=8π/15 This answer is wrong. What am I doing wrong?