Use Cylindrical Coordinates to Evaluate the Triple Integral $\iiint _ { E } y d V$

question 20

Multiple Choice

Use cylindrical coordinates to evaluate the triple integral $\iiint _ { E } y d V$
where $E$ is the solid that lies between the cylinders $x ^ { 2 } + y ^ { 2 } = 3$ and $x ^ { 2 } + y ^ { 2 } = 7$ above the $x y$ -plane and below the plane $z = x + 4$ .

• A) \(8.57\)
• B) 0
• C) \(3.4\)
• D) \(9.19\)
• E) \(0.54\)

---

Definitions:

Insufficient Facts

A lack of adequate or necessary information or data to support a conclusion or decision.

Bibliographic Information

Bibliographic information includes critical details about a publication, such as author, title, publisher, date, and pages, used for citation and research purposes.

Documentation

Full bibliographic information so that interested readers can go to the original source of material used in a report.

Formal Report

A report containing formal elements such as a title page, a transmittal, a table of contents, and an abstract.