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:

Interview

An interview is a formal conversation where questions are asked and answers are given, typically used for the purposes of assessment, research, or information gathering.

Secondary Gain

The advantage or benefit a person unconsciously gains from maintaining a psychosomatic illness or undesirable behavior.

Delayed Gratification

The ability to resist the temptation for an immediate reward and wait for a later reward, often perceived as more beneficial.

Responsibilities

Duties or tasks that one is obliged or expected to perform.