Use the Shell Method to Find the Volume of the Solid

question 57

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves
about the given lines.
- $y = 5 x , \quad y = 0 , \quad x = 3$ ; revolve about the $x$ -axis

• A) \(\frac { 225 } { 2 } \pi\)
• B) \(450 \pi\)
• C) \(\frac { 225 } { 2 }\)
• D) \(225 \pi\)

---

Definitions:

Proportional Income Tax

A taxation system where the tax rate remains constant regardless of the amount of income earned.

Market Income

The income received by an individual or household through trade and investment within the marketplace, excluding government transfers.

Quintile

A statistical value that divides a set of data into five equal parts, each representing 20% of the distributed population.

Unemployment Benefits

Payments made by authorized bodies to unemployed people, intended to provide a temporary source of income while they seek new employment.