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

question 33

Multiple Choice

Use cylindrical coordinates to evaluate $\iiint _ { E } \sqrt { x ^ { 2 } + y ^ { 2 } } d V$ where E is the region that lies inside the cylinder $x ^ { 2 } + y ^ { 2 } = 25$ and between the planes $z = - 6 \text { and } z = 5$ . Round the answer to two decimal places.

• A) \(2878.33\)
• B) 2218.41
• C) 2931.90
• D) 2818.41
• E) 2431.90

---

Definitions:

Supreme Court Order

A directive issued by the highest court in a country, which must be followed by lower courts and individuals.

Femme Fatale

A character archetype, often in film noir, of a mysterious and seductive woman whose charms ensnare her lovers, often leading them into compromising, dangerous situations.

Economically Emancipated

Refers to being financially independent, free from financial constraints or reliance on institutional support.

Paramount Decision

A landmark 1948 Supreme Court ruling against Paramount Pictures, which ended vertical integration and exclusive contracting practices in the film industry, drastically changing the studio system.