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

question 22

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 $z = 4$ and $z = 8$ .

• A) \(\frac { 8 } { 3 } \pi\)
• B) \(4 \pi\)
• C) \(32 \pi\)
• D) \(48 \pi\)

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