Find an Equation for the Sphere with the Given Center $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 20 z = - 36$

Multiple Choice

Find an equation for the sphere with the given center and radius.
-Center (0, 0, 10) , radius = 8

A) $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 20 z = - 36$
B) $x ^ { 2 } + y ^ { 2 } + 8 z ^ { 2 } - 20 z = - 36$
C) $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } + 20 z = - 36$
D) $x ^ { 2 } + y ^ { 2 } + 8 z ^ { 2 } + 20 z = - 36$