Find the volume of the solid obtained by rotating the region bounded by y=x^3, y=1, and the y-axis around the x-axis.

What I did was:
V=�ç(0,1)pi(1-x^3)^2 dx
v=pi(x^7/7-x^4/2+x)
and I evaluated it for one since 0 is just going to be 0.

and I got 9pi/14

The answer is wrong, can someone please explain me step by step I really don't know what's wrong.

see

http://www.jiskha.com/display.cgi?id=1318531759