Find the Standard Equation of the Sphere with Center $C$ And Radius

question 153

Multiple Choice

Find the standard equation of the sphere with center $C$ and radius $r$ .
$$C ( 4 , - 1,5 ) ; r = 8$$

• A) \(( x + 4 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z + 5 ) ^ { 2 } = 64\)
• B) \(( x + 4 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z + 5 ) ^ { 2 } = 8\)
• C) \(( x - 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } + ( z - 5 ) ^ { 2 } = 8\)
• D) \(( x - 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } + ( z - 5 ) ^ { 2 } = 64\)