Describe the sets of points in space whose coordinates satisfy the given inequalities.

a$.x^2{y}^2{z}^{2}64$

b$.x^2{y}^2{z}^2>36$

a$.$ Choose the best description of $x^2{y}^2{z}^{2}64.$

A$.$ A ball centered on the origin with a radius of $64$

B$.$ An infinite cylinder centered on the $z-$axis with a radius of $8$

C$.$ A ball centered on the origin with a radius of $8$

D$.$ A half sphere centered on the origin with a radius of $8$

b$.$ Choose the best description of $x^2{y}^2{z}^2>36.$

A$.$ The set of all points outside a cylinder centered on the $z-$axis with a radius of $6$

B$.$ The set of all points more than $36$ units from the origin

C$.$ The set of all points more than $6$ units from the origin

D$.$ A ball centered on the origin with a radius of $6$