Use the Shell Method to Find the Volume of the Solid

question 23

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves
about the given lines.
- $y = 4 x , \quad y = 0 , \quad x = 3$ ; revolve about the $x$ -axis

• A) \(288 \pi\)
• B) \(72 \pi\)
• C) \(144 \pi\)
• D) 72

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Definitions:

Korsakoff Syndrome

A chronic memory disorder caused by severe deficiency of thiamine (vitamin B1), often associated with alcoholism.

Thiamine

A water-soluble B-vitamin (B1) essential for carbohydrate metabolism and neural function, deficiency of which can lead to neurological and cardiovascular problems.

Neuritic Plaques

Deposits found in the brain, made up of beta-amyloid protein and fragments of neurons, associated with Alzheimer's disease.

Implicit Memory

A form of memory that uses past experiences to remember things without consciously thinking about them, often demonstrated through performance rather than explicit recall.