Use the Theorem of Pappus to Find the Volume of the Solid

question 40

Multiple Choice

Use the Theorem of Pappus to find the volume of the solid obtained by revolving the region bounded by the graphs of $y = 16 - x ^ { 2 } , y = 16$ , and $x = 4$ about the $y$ -axis.

• A) \(128 \pi\)
• B) \(\frac { 512 } { 3 } \pi\)
• C) \(\frac { 128 } { 3 } \pi\)
• D) \(32 \pi\)

---

Definitions:

Marginalized Groups

Communities or individuals pushed to the edge of society by having less power, money, or social standing, making them vulnerable to discrimination and neglect.

Sanctions

Measures adopted by a state or an international body to restrict or encourage certain actions by individuals, organizations, or countries, often used to enforce laws or rules.

Sociological Research

The process of investigating and analyzing aspects of social life to understand patterns, relationships, and social structures.

Valid Source

Refers to information or reference material that is credible, reliable, and accurately supports research or factual claims.