Find the Volume of the Solid Generated by Revolving the Region

question 68

Multiple Choice

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

• A) \(1250 \pi\)
• B) \(50 \pi\)
• C) \(\frac { 50 } { 3 } \pi\)
• D) \(25 \pi\)

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Definitions:

Altruism

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Social Exchange

A theory that suggests human relationships are formed by the use of a subjective cost-benefit analysis and the comparison of alternatives.

Reciprocity Norm

A social norm suggesting that people should return the help they have received to others in kind.

Kitty Genovese

Refers to a case from the 1960s that became a symbol of urban apathy, wrongly cited for years as evidence that numerous neighbors heard her cries for help but did nothing.