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

question 89

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) \(10.5 \pi\)