Find the Volume of the Solid Generated by Revolving the Region

question 167

Multiple Choice

Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method.
-The region bounded by $x = 3 \sqrt { y } , x = - 3 y$ , and $y = 1$ about the line $y = 1$

• A) \(3 \pi\)
• B) \(\frac { 11 } { 5 } \pi\)
• C) \(\frac { 22 } { 5 } \pi\)
• D) \(\frac { 13 } { 5 } \pi\)

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Definitions:

Extraocular Muscles

The muscles outside the eye that control eye movements.

CNs III, IV, VI

The oculomotor (III), trochlear (IV), and abducens (VI) cranial nerves, which control eye movements and pupil constriction.

Cataracts

A medical condition where the lens of the eye becomes progressively opaque, resulting in blurred vision.

Intraocular Pressure

The fluid pressure inside the eye, important for maintaining eye shape and proper function; abnormalities can indicate glaucoma.