Find the Volume of the Solid Generated by Revolving the Region

question 175

Multiple Choice

Find the volume of the solid generated by revolving the region about the y-axis.
-The region enclosed by $x = \frac { 5 } { y } , x = 0 , y = 1 , y = 2$

• A) \(\frac { 25 } { 2 } \pi\)
• B) \(\frac { 5 } { 2 } \pi\)
• C) \(\frac { 25 } { 4 } \pi\)
• D) \(\frac { 75 } { 2 } \pi\)

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Definitions:

Irrigation Systems

Engineered networks designed to transport water to areas where it is needed for agricultural production, improving crop yields in arid and semi-arid regions.

Pueblo Indians

Native American people, historically known for living in pueblo-style dwellings, primarily located in the Southwestern United States.

Agricultural Production

The process and science behind the cultivation of plants and livestock to produce food, fiber, medicinal plants, and other products to sustain and enhance human life.

Southwestern United States

A region of the United States that includes states like Arizona, New Mexico, Texas, and parts of California and Nevada.