Find the Volume of the Solid Generated by Revolving the Region

question 153

Multiple Choice

Find the volume of the solid generated by revolving the region about the y-axis.
-The region in the first quadrant bounded on the left by $y = x ^ { 3 }$ , on the right by the line $x = 2$ , and below by the $x$ -axis

• A) \(4 \pi\)
• B) \(\frac { 32 } { 5 } \pi\)
• C) \(\frac { 64 } { 5 } \pi\)
• D) \(\frac { 96 } { 5 } \pi\)

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Definitions:

Distribution Of Income

Refers to the way total personal income is spread across a population.

In-Kind Transfers

Transfers to the poor given in the form of goods and services rather than cash

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A threshold income level below which an individual or family is considered to be in poverty, varying by location and household size.