Find the Volume of the Solid Generated by Revolving the Shaded

question 110

Multiple Choice

Find the volume of the solid generated by revolving the shaded region about the given axis.
-About the $x$ -axis
$y = 9 - x ^ { 2 }$

• A) \(\frac { 162 } { 5 } \pi\)
• B) \(\frac { 567 } { 5 } \pi\)
• C) \(\frac { 648 } { 5 } \pi\)
• D) \(9 \pi\)

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Definitions:

National Income

The total income earned by a country's residents and businesses, including wages, rent, interest, and profits.

Government Purchases

Expenditures made by local, state, or federal government sectors on goods and services that directly absorb resources.

Net Exports

The difference between a country's total exports of goods and services and its total imports of goods and services; net exports can be a positive or negative value.

Gross Investment

A company’s total investment in plant, equipment, and inventory. Also, a nation’s plant, equipment, inventory, and residential housing investment.