1. find the volume when the region bounded by the curves $\displaystyle y= x^2$ and $\displaystyle y= \frac{1}{4}x^2 + 1 $ in the 1st quadrant is rotated about the line x = 2/root 3

2. determine the volume of rotating the region bounded by $\displaystyle y = e^{-x^2} $ and the coordinate axes about the y axis.

I have no idea how to do Q1 but for Q2 I got pi cubic units. Is that correct?

Thanks