A Spherical Building Has a Diameter Of $201$ FeetThe Center of the Building Is Placed at the Origin

Multiple Choice

A spherical building has a diameter of $201$ feet.The center of the building is placed at the origin of a three-dimensional coordinate system.What is the equation of the sphere?

A) $x ^ { 2 } + 2 y ^ { 2 } + z ^ { 2 } = \frac { 40,401 } { 4 }$
B) $2 x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = \frac { 40,401 } { 4 }$
C) $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = \frac { 40,401 } { 4 }$
D) $4 x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = \frac { 40,401 } { 4 }$
E) $x ^ { 2 } + 2 y ^ { 2 } + 4 z ^ { 2 } = \frac { 40,401 } { 4 }$