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

question 13

Short Answer

Use cylindrical coordinates to evaluate
$$\iiint _ { B } \sqrt { x ^ { 2 } + y ^ { 2 } } d V$$
where $E$ is the region that lies inside the cylinder $x ^ { 2 } + y ^ { 2 } = 25$ and between the planes $z = - 3$ and $z = 5$ .
Round the answer to two decimal places.

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Definitions:

Full-Employment

A scenario where an economy utilizes all accessible labor resources in the most optimized manner.

Potential Output

Represents the highest level of real Gross Domestic Product (GDP) that can be sustained over the long term without increasing the rate of inflation.

Sustainable Output

The level of production that can be maintained over the long term without depleting natural resources or harming the environment.

Unemployment Rate

The fraction of the employment sector that is not employed and is earnestly looking for work.