Use the Shell Method to Find the Volume of the Solid

question 134

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated line.
-About the line $y = 5$


$$x = 3 y - y ^ { 2 }$$

• A) \(\frac { 63 } { 2 } \pi\)
• B) \(\frac { 63 } { 4 } \pi\)
• C) \(\frac { 27 } { 2 } \pi\)
• D) \(\frac { 189 } { 2 } \pi\)

---

Definitions:

Poor Countries

Nations with low levels of economic activity, low per capita income, and generally low standards of living.

Catch-Up Effect

The property whereby countries that start off poor tend to grow more rapidly than countries that start off rich

Economic Growth Rates

The percentage increase in the market value of the goods and services produced by an economy over time, typically measured on an annual basis.

Saving Rate

The proportion of disposable income that is saved rather than spent on consumption of goods and services.