Directions: Use the disk$/$washer method to find the volume generated by rotating the region bounded by the given curves about the specified line.

Curves: $x=y^2,x=2-y^2$

Axis of Rotation: $,x=4$

Sketch the region, the solid, and a typical disk or washer. $($You will not submit this for grading.$)$

Find the outer radius of the disk $/$ washer: $r_{\text{o}\text{u}\text{t}}=$

Find the inner radius of the disk $/$ washer: $r_{in}=2+y^2$

Enter NONE if the inner radius is not applicable for this problem.

Find the Volume: $V=$