Use the Shell Method to Find the Volume of the Solid

question 83

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.
- $y = 16 - x ^ { 2 } , \quad y = 16 , \quad x = 4 ;$ revolve about the line $y = 16$

• A) \(\frac { 8192 } { 15 } \pi\)
• B) \(\frac { 7168 } { 15 } \pi\)
• C) \(\frac { 64 } { 3 } \pi\)
• D) \(\frac { 1024 } { 5 } \pi\)

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Definitions:

Single Product

A business strategy or market condition where a company focuses on and sells only one product.

Absorption Costing

A costing method that includes all manufacturing costs - direct materials, direct labor, and both variable and fixed overhead - in the price of a product.

Net Operating Income

The profit a company makes after deducting operating expenses from gross income, excluding interest and taxes.

Variable Costing

An accounting method that includes only variable production costs (direct materials, direct labor, and variable manufacturing overhead) in product cost calculations, excluding fixed overhead.