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 $z = x + 4$ .
Select the correct answer.

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

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