Use Cylindrical Coordinates to Evaluate $\iiint _ { T } \sqrt { x ^ { 2 } + y ^ { 2 } } d V$

question 103

Multiple Choice

Use cylindrical coordinates to evaluate $\iiint _ { T } \sqrt { x ^ { 2 } + y ^ { 2 } } d V$ , where $T$ is the solid bounded by the cylinder $x ^ { 2 } + y ^ { 2 } = 1$ and the planes $z = 1$ and $z = 5$ .

• A) \(4 \pi\)
• B) \(\frac { 8 } { 3 } \pi\)
• C) \(24 \pi\)
• D) \(16 \pi\)

---

Definitions:

Equilibrium Price

The market price at which the quantity of goods demanded is equal to the quantity of goods supplied.

Equilibrium Quantity

The quantity of goods or services supplied that is equal to the quantity demanded at the market equilibrium price.

Exert Pressure

Applying force or influence to achieve a specific outcome or change.

Old Price

Refers to the price level of a good or service in the past, before any adjustments like inflation, discounts, or changes in market conditions.