Find the Volume of the Solid Generated by Revolving the Region

question 1

Multiple Choice

Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.
- $$y = \sec x , y = \tan x , x = 0 , x = \frac { \pi } { 4 }$$

• A) \(\frac { \pi ^ { 2 } } { 2 }\)
• B) \(\frac { \pi ^ { 2 } } { 4 }\)
• C) \(\frac { \pi } { 4 }\)
• D) \(\frac { \pi } { 2 }\)

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Definitions:

Lateral Hypothalamus

A region of the brain involved in controlling hunger and thirst; it plays a crucial role in the regulation of feeding behavior.

Pituitary Gland

The gland that secretes growth hormone, prolactin, antidiuretic hormone, and other hormones.

Androgens

A group of hormones that play a role in male traits and reproductive activity; present in both males and females.

Ovaries

The female reproductive organs responsible for producing eggs (ova) and sex hormones, such as estrogen and progesterone.