Let R be the region between y=1-x^2 and the x axis

Let R be the region between y=1-x^2 and the x axis. Find the volume of the solid generated by rotation of R about the line x=2.
Please Help!! I have a final tomorrow in Calculus and I am so lost.

The radius is 2 - x and the height of the solid is 1 - x².

Therefore, V = 2π∫ (x = -1 to 1) (2 - x)(1 - x²) dx = 16π/3

Yin