Use the Shell Method to Find the Volume of the Solid

question 95

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 $x$ -axis
$y = \sqrt { 9 - x ^ { 2 } }$

• A) \(9 \pi\)
• B) \(27 \pi\)
• C) \(\frac { 81 } { 2 } \pi\)
• D) \(18 \pi\)

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Definitions:

Trait Theorists

Psychologists who study personality traits and their influence on behavior, focusing on identifying and measuring these characteristics.

Self

The individual's perception of their own identity, qualities, and abilities.

Carl Rogers

An influential American psychologist who founded client-centered therapy and emphasized the importance of a supportive therapeutic environment for growth and healing.

Ego Identity

A sense of self developed through personal experience, social interactions, and reflections on those experiences.