Use the Shell Method to Find the Volume of the Solid

question 71

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.
- $$y = \frac { 6 } { x } , y = 0 , x = 7 , x = 9$$

• A) \(36 \pi\)
• B) \(24 \pi\)
• C) \(18 \pi\)
• D) \(12 \pi\)

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Definitions:

Pain Matrix

A distributed network of brain regions, including the thalamus and anterior cingulate cortex, thought to respond to many types of pain.

Thalamus

A brain structure serving as a central relay station for sensory information, excluding smell, directing it to appropriate areas of the brain for processing.

Amygdala

A part of the brain involved in emotions, decision-making, and emotional memories.

Epinephrine

A hormone and neurotransmitter, also known as adrenaline, involved in the body's fight-or-flight response, increasing heart rate, blood pressure, and energy supplies.