Use the Shell Method to Find the Volume of the Solid

question 97

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 y-axis.
- $$y = x ^ { 2 } - 3 , y = 2 x , x = 0 \text {, for } x \geq 0$$

• A) \(45 \pi\)
• B) \(\frac { 45 } { 4 } \pi\)
• C) \(\frac { 45 } { 2 } \pi\)
• D) \(18 \pi\)

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Definitions:

Inventory Valuation

The method used to calculate the cost of goods sold and ending inventory value for financial reporting.

Accounting Period

A specific period of time covered by accounting records and financial statements, usually a year or a quarter, used to measure financial performance.

Manufacturing Costs

Refers to the total expense incurred in the process of producing goods, including materials, labor, and overhead costs.

Direct Labour Costs

Expenses directly tied to the production of goods or services, including wages of workers physically making a product.