The Center and Radius of the Sphere $3 x ^ { 2 } + 3 y ^ { 2 } + 3 z ^ { 2 } + 6 x - z - 3 = 0$

Multiple Choice

The center and radius of the sphere $3 x ^ { 2 } + 3 y ^ { 2 } + 3 z ^ { 2 } + 6 x - z - 3 = 0$ are

A) $\left( - 1,0 , - \frac { 1 } { 6 } \right) ; 2$
B) $\left( - 1,0 , \frac { 1 } { 6 } \right) ; 7$
C) $( - 1,0 , - 6 ) ; 5$
D) $\left( - 1,0 , \frac { 1 } { 6 } \right) ; \frac { \sqrt { 73 } } { 6 }$
E) $\left( 1,0 , \frac { 1 } { 6 } \right) ; \sqrt { 13 }$