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

Multiple Choice

Use cylindrical coordinates to evaluate $\iiint _ { E } \sqrt { x ^ { 2 } + y ^ { 2 } } d V$ where E is the region that lies inside the cylinder $x ^ { 2 } + y ^ { 2 } = 25$ and between the planes $z = - 6 \text { and } z = 5$ . Round the answer to two decimal places.

A) $2878.33$
B) 2218.41
C) 2931.90
D) 2818.41
E) 2431.90