Find the Volume of the Solid Generated by Rotating the Region

question 7

Multiple Choice

Find the volume of the solid generated by rotating the region R about the x-axis.R is the region bounded by the x-axis, $y = \sec x$ , $x = - \frac { \pi } { 4 }$ ,and $x = \frac { \pi } { 4 }$ .

• A) \(\frac { 45 \pi } { 2 }\)
• B) \(\frac { 9 \pi } { 2 }\)
• C) \(2 \pi\)
• D) \(9 \pi\)

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Definitions:

Gas Exchange

The biological process through which organisms exchange oxygen and carbon dioxide with their environment, vital for respiration.

Glottis

The part of the larynx consisting of the vocal cords and the slit-like opening between them, crucial for producing vocal sounds.

Vocal Cords

Bands of tissue in the larynx that vibrate to produce sound when air is expelled from the lungs.

Gas Exchange

The biological process through which organisms exchange gases with their environment, such as oxygen for respiration and carbon dioxide as a waste product.