Use the Shell Method to Find the Volume of the Solid

question 90

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.
-About the $y$ -axis
$y = 3 x - x ^ { 2 }$

• A) \(\frac { 27 } { 2 } \pi\)
• B) \(\frac { 27 } { 4 } \pi\)
• C) \(\frac { 81 } { 8 } \pi\)
• D) \(\frac { 81 } { 4 } \pi\)

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Definitions:

Government Officials

Individuals who hold positions of authority in a governmental structure, responsible for making and implementing public policies.

Status

A social or professional position, standing, or rank of an individual or group within a society or organization.

Status Inconsistency

Occurs when an individual occupies several differently ranked statuses at the same time.

Class Inconsistency

A situation where an individual's socioeconomic status in different dimensions of social class (like occupation, education, and income) do not align, leading to contradictions in class identity.