Use the Shell Method to Find the Volume of the Solid

question 206

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 $\mathrm { x }$ -axis


$x = y ^ { 2 } / 2$

• A) \(2 \pi\)
• B) \(\frac { 8 } { 3 } \pi\)
• C) \(8 \pi\)
• D) \(4 \pi\)

---

Definitions:

Citizens

Members of a state or nation who are legally recognized and entitled to its protection and to political rights.

Different States

Variations across U.S. states or countries, particularly concerning laws, regulations, and cultural practices.

Diversity of Citizenship

A legal principle allowing the federal courts in the United States to hear cases where the parties are citizens of different states or a foreign country.

Federal Questions

Legal issues revolving around the interpretation of the U.S. Constitution, federal laws, or treaties, which federal courts are authorized to resolve.