1. The problem statement, all variables and given/known data (a)The region R enclosed by the curves y=x and y=x^2 is rotated about the x-axis. Find the volume of the resulting solid. (b)Find the volume of the solid in part (a) obtained by rotation the region about y=2. 3. The attempt at a solution I solved the (a) integral and got 2(pi)/15, which is the right answer. I thought that (b) would give the same answer, since I'm just rotating it about a different line. But my answer (which is right) is 8pi/15. Can anyone explain why the volume would be different? It's the same solid, just rotated about different lines, right?