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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Definitions:

Equilibrium Price

The market price at which the quantity of goods supplied is equal to the quantity of goods demanded, also known as the market-clearing price.

Profit

The financial gain obtained when the amount earned from business activities exceeds the expenses, costs, and taxes needed to sustain the activity.

TR

Total Revenue, which is the total income generated by a business from its sales of goods or services.

Long Run

A time period in economic theory during which all factors of production and costs are variable, allowing for full adjustment to changes.