Use the Shell Method to Find the Volume of the Solid

question 67

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

• A) \(27 \pi\)
• B) \(\frac { 45 } { 2 } \pi\)
• C) \(18 \pi\)
• D) \(\frac { 45 } { 4 } \pi\)

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Definitions:

Conduct Disorders

Refers to a range of antisocial types of behavior displayed in children and adolescents.

Neurotransmitters

Chemical substances in the brain that transmit signals from one neuron to another, influencing various functions and behaviors.

Dopamine

A neurotransmitter in the brain involved in regulating movement, mood, and reward responses.

Aggressive Children

Youth displaying patterns of hostile or violent behavior towards others, which can stem from various environmental or psychological factors.