Use a Spherical Coordinate Integral to Find the Volume of the Given

question 83

Multiple Choice

Use a spherical coordinate integral to find the volume of the given solid.
-the solid enclosed by the cardioid of revolution $\varrho = 10 + 7 \cos \varphi , \mathrm { z } \geq 0$

• A) \(\frac { 10503 } { 2 } \pi\)
• B) \(\frac { 10503 } { 4 } \pi\)
• C) \(\frac { 3501 } { 2 } \pi\)
• D) \(3501 \pi\)

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Definitions:

Investment

The action of allocating resources, usually money, with the expectation of generating an income or profit, often through the purchase of assets that are expected to increase in value.

Private Saving

The portion of individual or household income that is not consumed or taxed, often saved or invested for future use.

National Saving

The total of private and public savings in a country, representing the portion of national income not consumed or spent by the government.

Closed Economy

A type of economic system where a country does not engage in trade with other countries, aiming to be self-sufficient.