Use the Shell Method to Find the Volume of the Solid

question 154

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


$y = \sqrt { 4 - x ^ { 2 } }$

• A) \(8 \pi\)
• B) \(12 \pi\)
• C) \(\frac { 8 } { 3 } \pi\)
• D) \(\frac { 16 } { 3 } \pi\)

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Definitions:

Psychopaths

are individuals characterized by antisocial behavior, lack of empathy and remorse, and bold, disinhibited, and egotistical traits.

Collectivist Societies

Societies that prioritize the group over the individual, emphasizing community, cooperation, and interdependence.

Biological Theory

A theory that attributes psychological phenomena to biological factors, such as genetic influences, brain structures, and neurochemical imbalances.

Depression

A mental health disorder characterized by persistently depressed mood or loss of interest in activities, causing significant impairment in daily life.