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

question 16

Multiple Choice

Use spherical coordinates to evaluate $\iiint _ { B } \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } d V$ , where $B$ is the ball $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \leq 10$ .

• A) \(10000 \pi\)
• B) \(10 \pi\)
• C) \(1000 \pi\)
• D) \(2000 \pi\)

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Definitions:

Finished Goods Inventory

Represents the stock of completed products that are ready to be sold but have not yet been sold to customers.

Contribution Margin Ratio

The percentage of each sales dollar remaining after variable costs have been subtracted, indicating how much contributes to covering fixed costs and generating profit.

Fixed Costs

Costs that do not vary with the level of production or sales, including rent, salaries, and insurance premiums.

Break-even

The point at which total costs and total revenues are equal, resulting in no net loss or gain for a business.