Use the Shell Method to Find the Volume of the Solid

question 5

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 $y = - 1$

• A) \(\frac { 2048 } { 15 } \pi\)
• B) \(\frac { 7168 } { 15 } \pi\)
• C) \(\frac { 2368 } { 15 } \pi\)
• D) \(\frac { 1184 } { 15 } \pi\)

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Definitions:

Total Cost

The sum of fixed costs and variable costs incurred by a business in producing a good or service.

Output

The quantity of goods or services produced within a given period.

Maximize Profits

The process or strategy aimed at achieving the highest possible profit margins by managing costs and increasing revenue.

Bushels

A unit of volume that is used for measuring quantities of agricultural produce such as grains.