Find the Volume of the Solid Generated by Revolving the Region

question 105

Multiple Choice

Find the volume of the solid generated by revolving the region about the given line.
-The region in the first quadrant bounded above by the line $y = 1$ , below by the curve $y = \sqrt { \sin 2 x }$ , and on the left by the $y$ -axis, about the line $y = 1$

• A) \(\frac { \pi ^ { 2 } } { 4 } - \frac { \pi } { 2 }\)
• B) \(\frac { \pi ^ { 2 } } { 4 } + \frac { \pi } { 2 }\)
• C) \(\frac { \pi } { 2 } + 2\)
• D) \(\frac { \pi } { 4 } - \frac { 1 } { 2 }\)

---

Definitions:

Economic Domination

A concept referring to a scenario where a single entity or a group of entities has significant control or influence over the economic policies, practices, or resources in a particular area or sector.

Imperialism

A policy of extending a country's power and influence through colonization, use of military force, or other means.

Colonialism

Refers to the control of developing societies by more developed, powerful societies.

Homogenization

A process by which differences among elements are minimized, making them uniform or similar, often used in contexts such as culture, milk processing, and societal integration.