Find the Volume of the Solid Generated by Revolving the Region

question 26

Multiple Choice

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line
$y = 14$ $y = \sin x , y = 0,0 \leq x \leq \frac { \pi } { 2 }$

• A) \(\pi \left( 14 - \frac { \pi } { 2 } \right)\)
• B) \(\pi \left( 14 - \frac { \pi } { 4 } \right)\)
• C) \(\pi \left( 56 - \frac { \pi } { 4 } \right)\)
• D) \(\pi \left( 28 - \frac { \pi } { 2 } \right)\)
• E) \(\pi \left( 28 - \frac { \pi } { 4 } \right)\)

---

Definitions:

Basis

The underlying support or foundation for an idea, argument, or process; in financial contexts, it refers to the value ascribed to an asset for tax purposes.

Constitutional Sources

Documents or texts that serve as the foundation or basis for a country's constitution and its principles.

United States Constitution

The supreme law of the United States of America, establishing the national government, fundamental principles, and rights of citizens.

Syllabus

An academic document that outlines the structure, content, and requirements of a particular course.