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

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 $z = 1$ and $z = 5$ .

A) $4 \pi$
B) $\frac { 8 } { 3 } \pi$
C) $24 \pi$
D) $16 \pi$