Find the Volume of the Solid Generated by Revolving the Region

question 40

Multiple Choice

Find the volume of the solid generated by revolving the region in the first quadrant bounded by $y = e ^ { x }$ and the $x$ -axis, from $x = 0$ to $x = \ln 3$ , about the $y$ -axis.

• A) \(3 \pi \ln 3\)
• B) \(6 \pi \ln 3\)
• C) \(2 \pi ( 3 \ln 3 - 3 )\)
• D) \(2 \pi ( 3 \ln 3 - 2 )\)

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Definitions:

Acid-Test Ratio

The acid-test ratio, also known as the quick ratio, measures a company's ability to pay its short-term liabilities with its most liquid assets.

Quick Ratio

A liquidity measure indicating a company's ability to cover its current liabilities with its most liquid assets, excluding inventory.

Book Value Per Share

A financial metric showing the portion of a company's net asset value attributable to each share of stock.

Total Common Stock

Represents the shares of a company that are owned by shareholders, including both restricted and unrestricted shares.