Use the Shell Method to Find the Volume of the Solid

question 116

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.
- $y = 25 - x ^ { 2 } , \quad y = 25 , \quad x = 5$ ; revolve about the line $y = 25$

• A) \(\frac { 4375 } { 3 } \pi\)
• B) \(625 \pi\)
• C) \(\frac { 125 } { 3 } \pi\)
• D) \(\frac { 5000 } { 3 } \pi\)

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Definitions:

Budgeted Units

The quantity of products or services that are planned to be sold or produced over a specific period, as per the budget.

Plantwide Factory Overhead Rate

A single overhead absorption rate used throughout a manufacturing plant, applied to all cost units irrespective of the department where they were produced.

Overhead Costs

Expenses related to the day-to-day running of a business that cannot be directly linked to any specific business activity or product.

Departments

Divisions within an organization, each focusing on a specific area of function, such as sales or human resources.