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:

Output Increases

A situation where the production volume of goods or services in a company, industry, or economy rises, often due to higher demand, improved efficiency, or technological advancements.

Average Total Cost

The total cost of production divided by the quantity of output produced, representing the per-unit cost of production.

Total Cost

The aggregation of all costs, both fixed and variable, incurred by a business in producing a specific quantity of goods or services.

Average Fixed Cost

The fixed costs of production divided by the quantity of output produced; it decreases as production increases.