Question

A solid is formed by rotating the region bounded by the curve y=e−3x2 and the x-axis between x=0 and x=1, around the x-axis. The volume of this solid is 3(1−e−3). Assuming the solid has constant density , find x and y.

I know that y bar must be 0.

and I got .28 for x bar but that's not the answer.