Use the Shell Method to Find the Volume of the Solid

question 15

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.
- $$\mathrm { x } = \frac { 1 } { 6 } \mathrm { e } ^ { 2 } , \mathrm { y } = 0 , \mathrm { x } = 0 , \mathrm { y } = 1$$

• A) \(\frac { \pi } { 6 } ( e - 1 )\)
• B) \(6 \pi ( \mathrm { e } - 1 )\)
• C) \(3 \pi \mathrm { e }\)
• D) \(\pi ( e - 1 )\)

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Definitions:

Estimated Cost

An approximation of the financial expenses associated with a project, product, or service before it is fully realized.

Physical Inventory

A process of counting all the physical goods and inventory in a store or warehouse at a specific point in time.

Merchandise Sold

The total quantity of goods that have been sold by a business within a particular period.

Understated Inventory

A situation where the recorded amount of inventory is less than the actual inventory on hand, leading to distorted financial statements.