Find the Volume of the Solid Generated by Revolving the Region

question 236

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 = x + 2, y = 0, x = -2, x = 6

• A) \(4 \pi\)
• B) \(\frac { 512 } { 3 } \pi\)
• C) \(64 \pi\)
• D) \(30 \pi\)

---

Definitions:

Low Self-Monitoring

A trait characterized by a consistent behavior across different situations due to a disregard for social cues or expectations.

Primacy Effect

The tendency to remember and give more importance to information that is encountered first in a list or series, as opposed to information that appears later.

Promotion Focus

A motivational state where an individual is primarily oriented towards achieving positive outcomes and realizing ambitions.

Approach of Positive

A methodology or mindset that emphasizes focusing on positive aspects, strengths, and constructive outcomes in various situations.