Let $=1$x$2+$y$2+$z$2.$ Over which surfaces is the outward flux of $$ equal to zero?$$ Select all that apply.

Group of answer choices

The sphere of radius two centered at $(1,2,2).$

The boundary surface of the cube where $1$x$1,1$y$1,$and$1$z$1.$

The sphere of radius two centered at the origin.

The boundary surface of the cylinder where x$2+$y$21$ and $1$z$1.$

The boundary surface of the cube where $1$x$1,1$y$1,$and$1$z$3.$