Find the Volume of the Indicated Region $\varrho \leq 5$ That Lies Between the Cones

question 175

Multiple Choice

Find the volume of the indicated region.
-the region inside the solid sphere $\varrho \leq 5$ that lies between the cones $\varphi = \frac { \pi } { 3 }$ and $\varphi = \frac { \pi } { 2 }$

• A) \(\frac { 125 } { 3 } \pi\)
• B) \(\frac { 125 } { 2 } \pi\)
• C) \(\frac { 125 } { 6 } \pi\)
• D) \(\frac { 125 } { 4 } \pi\)

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Definitions:

Contribution Margin Ratio

A profitability ratio that measures the percentage of sales revenue that exceeds variable costs, indicating how much contributes to fixed costs and profit.

Variable Cost Ratio

A measure of a company's variable costs as a percentage of sales, which shows the proportion of sales that is consumed by variable costs.

Profit-Volume Ratio

A measure that illustrates how profits will change with a change in volume, showing the relationship between profit and sales levels.

Mixed Cost

A cost that contains both variable and fixed cost elements, changing in total with the level of activity but having a portion that remains constant.