Write an inequality to describe the region.

The solid cylinder that lies on or below the plane z $=2$ and on or above the disk in the xy$-$plane with center the origin and radius $3.$

x$2+$ y$23,0$ z $2$

x$2+$ y$29,0$ z $2$

$$

x$2+$ y$2+$ z$22,0$ z $3$

x$2+$ y$2+$ z$29,0$ z $2$

none of these