Find the Volume of the Solid Generated by Revolving the Shaded

question 78

Multiple Choice

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

$y = 4 - x ^ { 2 }$

• A) \(\frac { 16 } { 3 } \pi\)
• B) \(\frac { 416 } { 5 } \pi\)
• C) \(\frac { 416 } { 15 } \pi\)
• D) \(\frac { 256 } { 15 } \pi\)

---

Definitions:

Accommodating Emotional Style

A behavioral approach that prioritizes others' emotional needs and seeks to adjust oneself to bring comfort or harmony in interactions.

Workplace

A place where people are employed and carry out tasks related to their jobs.

Self-disclosure

A process in interpersonal interactions where individuals share personal, private, or sensitive information about themselves with others, fostering intimacy or trust.

Stress Relief

Activities or practices that reduce tension and anxiety, promoting emotional and physical well-being.