Use the Shell Method to Find the Volume of the Solid

question 142

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 x-axis.
- $$x = 6 y - y ^ { 2 } , x = 0$$

• A) \(36 \pi\)
• B) \(108 \pi\)
• C) \(432 \pi\)
• D) \(216 \pi\)

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Definitions:

Jim Crow

Laws or policies enforcing racial segregation and discrimination against African Americans, primarily in the Southern United States, from the late 19th to the mid-20th century.

Lazy

A term used to describe a lack of willingness or motivation to work or engage in activity.

Political Condition

The state of internal and external affairs of a government or nation, often referencing levels of stability, governance quality, and current political issues.

Free Black Men

African American males who were not enslaved and lived in the United States before the abolition of slavery in 1865.