Find the Volume of the Solid Generated by Revolving the Region

question 1

Multiple Choice

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line.Sketch the region and a representative rectangle. $y = 16 - x ^ { 2 } , y = 0 ;$ the line $x = - 4$

• A) \(256 \pi\)
• B) \(\frac { 1,024 } { 3 } \pi\)
• C) \(512 \pi\)
• D) \(\frac { 2,048 } { 3 } \pi\)

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Definitions:

Durkheim

A foundational sociologist known for his work on social cohesion, the division of labor, and the concept of anomie.

Collective Conscience

Durkheim’s concept highlighting the totality of beliefs and sentiments that are common to the average person in a society.

Social Facts

Durkheim's term for phenomena within society that exert social control over individuals, guiding their actions and thoughts.

Durkheim

A reference to Émile Durkheim, a pioneering French sociologist who contributed foundational theories on social order, social solidarity, and the study of religion and suicide.