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

question 93

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) \(15 \pi\)

---

Definitions:

Gross Profit Percentage

A financial metric expressing gross profit as a percentage of total sales.

Net Sales

The total sales revenue of a company, minus the returns, allowances for damage or loss, and discounts.

Gross Profit

The difference between sales revenue and the cost of goods sold, indicating the efficiency of a company in managing its production and supply chain.

Chief Executive Officer

The highest-ranking executive in a company, responsible for making major corporate decisions, managing overall operations, and resources.