Use Polar Coordinates to Find the Volume of the Solid $z = x ^ { 2 } + y ^ { 2 }$

question 6

Multiple Choice

Use polar coordinates to find the volume of the solid under the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ and above the disk $x ^ { 2 } + y ^ { 2 } \leq 4$ . Select the correct answer.

• A) \(64 \pi\)
• B) \(5.3 \pi\)
• C) \(32 \pi\)
• D) \(16 \pi\)
• E) \(8 \pi\)

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Definitions:

Usury Law

Legislation that sets the maximum interest rates that can be charged on loans, intended to protect consumers from excessively high rates.

Quantity of Money

The total amount of money (currency, coins, and checking deposits) in circulation within an economy.

Usury Law

Legislation that sets maximum interest rates that can be charged on loans to protect consumers from excessively high rates.

Loanable Funds

The money available for borrowing in the financial markets, determined by the savings of individuals and entities and the banking system's capacity to lend.