Find the Equation of the Sphere That Has the Points $( 8,2,2 )$

Multiple Choice

Find the equation of the sphere that has the points $( 8,2,2 )$ and $( 6,4,4 )$ as end points of a diameter.

A) $( x + 7 ) + ( y + 3 ) + ( z + 3 ) = 6$
B) $( x + 7 ) ^ { 2 } + ( y + 3 ) ^ { 2 } + ( z + 3 ) ^ { 2 } = 3$
C) $( x - 7 ) ^ { 2 } + ( y - 3 ) ^ { 2 } + ( z - 3 ) ^ { 2 } = 6$
D) $( x - 7 ) ^ { 2 } + ( y - 3 ) ^ { 2 } + ( z - 3 ) ^ { 2 } = 3$
E) $( x - 7 ) + ( y - 3 ) + ( z - 3 ) = 3$