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) \(10.5 \pi\)

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Zygote

A fertilized egg cell that results from the union of a female gamete (egg) with a male gamete (sperm).

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a stage in Jean Piaget's theory of cognitive development during which children gain the ability to think logically about concrete events.

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A stage in Piaget's theory of cognitive development, occurring roughly between the ages of 2 and 7, characterized by symbolic thinking, egocentrism, and a lack of operational thought.