Find the Standard Form of the Equation of the Sphere $( x + 5 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z - 2 ) ^ { 2 } = 36$

Multiple Choice

Find the standard form of the equation of the sphere with the given characteristics. Endpoints of a diameter: (-7,0,0) , (-3,2,4)

A) $( x + 5 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z - 2 ) ^ { 2 } = 36$
B) $( x + 5 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z - 2 ) ^ { 2 } = 18$
C) $( x - 5 ) ^ { 2 } + ( y + 1 ) ^ { 2 } + ( z + 2 ) ^ { 2 } = 9$
D) $( x + 5 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z - 2 ) ^ { 2 } = 9$
E) $( x + 5 ) ^ { 2 } - ( y - 1 ) ^ { 2 } - ( z - 2 ) ^ { 2 } = 9$