Find the Volume of the Solid Generated by Revolving the Shaded

question 6

Multiple Choice

Find the volume of the solid generated by revolving the shaded region about the given axis.
-About the $x$ -axis


$y = 4 \sec x$

• A) \(8 \pi\)
• B) \(14 \pi\)
• C) \(16 \pi\)
• D) \(4 \pi\)

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Definitions:

Generalization

The process of forming conclusions based on a limited set of observations or examples.

Method

A systematic way of doing something, often involving a detailed plan or procedure.

Caterpillars

The larval stage of butterflies and moths, known for their voracious appetite before transitioning into pupae.

Sufficient Condition

A condition or set of conditions that, if met, guarantees that a certain state or event will occur, though it may not be necessary for the occurrence.