Find the Volume of the Solid Generated by Revolving the Region

question 12

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 $y = \sqrt { \sin 3 x }$ , and on the left by the $y$ -axis, about the line $y = - 1$

• A) \(\frac { 1 } { 2 } \pi ^ { 2 } - \frac { 1 } { 9 } \pi\)
• B) \(\frac { 1 } { 6 } \pi ^ { 2 } - \frac { 1 } { 3 } \pi\)
• C) \(\frac { 1 } { 2 } \pi - \frac { 1 } { 9 }\)
• D) \(\frac { 1 } { 6 } \pi ^ { 2 } + \frac { 1 } { 3 } \pi\)

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Definitions:

Interdependence

The mutual reliance between two or more entities, where each affects and is affected by the other.

Transaction Process Model

A theoretical framework describing interactions between individuals and their environment as dynamic and reciprocal processes.

Nursing Practice

The profession or practice of providing care for the sick and infirm, including a wide range of healthcare activities from the diagnosis and treatment to rehabilitation.

Health

The state of complete physical, mental, and social well-being, not merely the absence of disease or infirmity.