Find the Volume of the Solid Obtained When the Region $y + x = 3$

question 47

Multiple Choice

Find the volume of the solid obtained when the region bounded by the x-axis, the y-axis, and the line $y + x = 3$ is rotated about the x-axis.

• A) \(3 \pi\)
• B) \(2 \pi\)
• C) \(8 \pi\)
• D) \(10 \pi\)
• E) \(9 \pi\)
• F) \(12 \pi\)
• G) \(4 \pi\)
• H) \(6 \pi\)

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Definitions:

Irving Goffman

An American sociologist who developed dramaturgical analysis, viewing social life as a theatrical performance where individuals manage the impressions others receive of them.

Symbolic Interaction

A sociological perspective focusing on how people interact with each other via symbols, such as words and gestures, to create shared meanings and social orders.

Shared Meanings

Common understandings or interpretations among a group of people that facilitate communication, social cohesion, and cultural identity.

Frame Analysis

A sociological method for understanding how individuals perceive and interpret experiences within a particular context.