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

question 40

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 $z = 2$ and $z = 5$

• A) \(2\) \(\pi\)
• B) \(14\) \(\pi\)
• C) \(21\) \(\pi\)
• D) \(3\) \(\pi\)

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