Use the Shell Method to Find the Volume of the Solid

question 160

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.
- $$x = 3 \sqrt { y } , x = - 3 y , y = 1$$

• A) \(8 \pi\)
• B) \(\frac { 22 } { 5 } \pi\)
• C) \(6 \pi\)
• D) \(\frac { 11 } { 5 } \pi\)

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Definitions:

Production Technology

The methods, processes, and equipment used to produce goods and services.

Input Prices

The costs associated with the inputs required for production, including materials, labor, and overhead expenses.

Future Price

The anticipated cost of a good, service, or financial instrument at a specified future date, often used in futures trading.

Supply Curve

A graphical representation of the relationship between the price of a good and the quantity of that good that suppliers are willing to sell, typically upward sloping due to the law of supply.