Solve the Problem $\mathrm { V } ( \mathrm { r } ) = \frac { 4 } { 3 } \pi \mathrm { r } ^ { 3 }$

question 41

Multiple Choice

Solve the problem.
-The volume of a sphere is a function of its radius, r, where $\mathrm { V } ( \mathrm { r } ) = \frac { 4 } { 3 } \pi \mathrm { r } ^ { 3 }$ . Find the volume of a sphere if its radius is 7 inches. Use 3.14 as an approximation to the value of π. Round to the nearest tenth if necessary.

• A) \(205.1 \mathrm { in. } ^ { 3 }\)
• B) \(179.5 \mathrm { in. } ^ { 3 }\)
• C) \(807.8 \text { in.} ^3\)
• D) \(1436 \text { in.}^ 3\)

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Definitions:

Revenue and Spending Variances

The difference between projected and actual figures for income and expenditures, used to manage and adjust financial planning.

Equipment Depreciation

The process of allocating the cost of tangible assets over their useful lives, representing wear and tear on equipment.

Machine-hours

The measurement of the amount of time machines are used in the manufacturing process, rephrased as "The cumulative operational time of machines for production."

Spending Variance

The difference between the budgeted or planned amount of expenditure and the actual amount spent.