Find the Volume of the Solid Generated by Revolving the Shaded

question 65

Multiple Choice

Find the volume of the solid generated by revolving the shaded region about the given axis.
-About the $x$ -axis


$y = 16 - x ^ { 2 }$

• A) \(\frac { 2048 } { 15 } \pi\)
• B) \(\frac { 64 } { 3 } \pi\)
• C) \(\frac { 7168 } { 15 } \pi\)
• D) \(\frac { 8192 } { 15 } \pi\)

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Definitions:

Cash Dividends

Payments made to shareholders out of a corporation's earnings in the form of cash.

Stable Earnings

Earnings that show little variability and predictability over a period, indicative of financial stability in a company.

Preferred Stock

A type of stock that generally provides dividends to its holders before dividends are issued to common stockholders, and typically has rights to assets before common stock upon liquidation.

Organization Cost

An intangible asset that records the initial cost of forming the corporation, such as legal and incorporating fees. Today, it is being expensed.