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) \(\frac { 13 } { 5 } \pi\)

---

Definitions:

Internet

A global network of interconnected computers that enables users to share information and communicate across vast distances.

Theory Behind Research

The underlying principles and explanation model that guides a research study's hypotheses and methodology.

Scholarly Research

A systematic investigation into and study of materials in order to establish facts and reach new conclusions, often published in academic journals.

Scholarly Research Paper

An academic article that presents the findings of original research or an evaluation of research conducted by others, typically published in a peer-reviewed journal.