Find an Equation of the Sphere with Center $( 6 , - 3,6 )$

Multiple Choice

Find an equation of the sphere with center $( 6 , - 3,6 )$ that touches the xy-plane.

A) $( x + 6 ) ^ { 2 } + ( y + 3 ) ^ { 2 } + ( z - 6 ) ^ { 2 } = 36$
B) $( x - 6 ) ^ { 2 } + ( y + 3 ) ^ { 2 } + ( z - 6 ) ^ { 2 } = 36$
C) $( x + 6 ) ^ { 2 } + ( y - 3 ) ^ { 2 } + ( z + 6 ) ^ { 2 } = 36$
D) $( x - 6 ) ^ { 2 } + ( y + 3 ) ^ { 2 } + ( z - 6 ) ^ { 2 } = 6$
E) $( x - 6 ) ^ { 2 } + ( y + 3 ) ^ { 2 } + ( z - 6 ) ^ { 2 } = 40$