Use the Shell Method to Find the Volume of the Solid

question 253

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.
-About the $y$ -axis

• A) \(19 \pi\)
• B) \(18 \pi\)
• C) \(\frac { 19 } { 3 } \pi\)
• D) \(\frac { 38 } { 3 } \pi\)

---

Definitions:

Cerebrum

The large mass of the forebrain, which consists of two hemispheres.

Norepinephrine

A neurotransmitter and hormone involved in the body's fight or flight response, influencing mood, arousal, and blood pressure.

Brain Stem

The central trunk of the mammalian brain, responsible for regulating basic life functions like heartbeat and breathing.

All-or-none Principle

A principle that states that neurons fire at their maximum intensity or not at all, depending on whether the stimulus reaches a certain threshold.