Find the Volume of the Solid Generated by Revolving the Region

question 88

Multiple Choice

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations $y = 10 x ^ { 2 } , y = 0$ , and $x = 2$ about the line $y = 40$ .

• A) \(\frac { 448 } { 3 }\)
• B) \(\frac { 4,480 } { 3 } \pi\)
• C) \(\frac { 448 } { 3 } \pi\)
• D) \(\frac { 4,480 } { 3 }\)
• E) \(\frac { 4,840 } { 3 } \pi\)

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Definitions:

Sample

A subset of individuals or observations drawn from a population used for statistical analysis, intended to represent the population from which it is drawn.

Population

The entire group of individuals or instances about whom the study is to make inferences, in contrast to a sample drawn from it for analysis.

Census

A systematic collection, analysis, and publication of data pertaining to the population and its components at a specific time.

Anecdotal Evidence

Evidence based on personal accounts or individual instances rather than systematic scientific research.