Find the Area of the Part of the Sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 36 z$

Multiple Choice

Find the area of the part of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 36 z$ that lies inside the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ .
Select the correct answer.

A) $6 \pi$
B) $36 \pi$
C) $12.5 \pi$
D) $16 \pi$
E) $10.5 \pi$