Use the Shell Method to Find the Volume of the Solid

question 55

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.
- $y = 8 x , y = - \frac { x } { 8 } , x = 1$

• A) \(\frac { 65 } { 12 } \pi\)
• B) \(\frac { 65 } { 24 } \pi\)
• C) \(65 \pi\)
• D) \(\frac { 43 } { 8 } \pi\)

---

Definitions:

Hypnotized

The state of being under hypnosis, characterized by increased suggestibility, relaxation, and focused attention.

Hypnosis

A trance-like state of heightened susceptibility to suggestion, used for therapeutic purposes or in research.

Explanations

Statements or accounts that make something clear by describing it in more detail or revealing relevant facts or ideas.

Emotional Loss

A profound sense of sadness or grief that occurs after losing something or someone significant, impacting an individual's emotional well-being.