Find the Volume of the Solid Generated by Revolving the Region

question 139

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) \(\frac { 3 } { 4 } \pi ^ { 2 } - \frac { 1 } { 6 } \pi\)
• B) \(\frac { 1 } { 4 } \pi ^ { 2 } - \frac { 1 } { 2 } \pi\)
• C) \(\frac { 3 } { 4 } \pi - \frac { 1 } { 6 }\)
• D) \(\frac { 1 } { 4 } \pi ^ { 2 } + \frac { 1 } { 2 } \pi\)

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Definitions:

Sample Points

Individual units or observations collected from the sample, each of which represents a data point.

Department Store

A large retail store offering a wide variety of products and departments under one roof.

Merchandise

Products or goods that are bought, sold, and traded in the market, often referred to in retail contexts.

Sample Points

Represent individual observations or items selected from a larger population for the purpose of statistical analysis.