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

question 146

Short Answer

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

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