Find the Area of the Part of the Sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 25 z$

Multiple Choice

Find the area of the part of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 25 z$ that lies inside the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ .

A) $11.5 \pi$
B) $9.5 \pi$
C) $25 \pi$
D) $5 \pi$
E) $15 \pi$