Solve the Problem $\mathrm { r } = \sqrt { \frac { 3 \mathrm {~V} } { \pi \mathrm { h } } }$

question 175

Multiple Choice

Solve the problem.
-The radius of a right circular cone is given by the formula $\mathrm { r } = \sqrt { \frac { 3 \mathrm {~V} } { \pi \mathrm { h } } }$ , where $\mathrm { V }$ is the volume and $\mathrm { h }$ is the height. If the volume is 946 cubic inches and the height is 4 inches, what is the radius? Use $3.14$ for $\pi$ , and round your answer to the nearest tenth of an inch.

• A) \(15 \mathrm { in }\).
• B) \(8.7 \mathrm { in }\).
• C) \(0.1\) in.
• D) \(15.7 \mathrm { in }\).

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Definitions:

Tax Credit

A reduction in the amount of taxes owed, dollar for dollar, for various types of investments or expenses.

Discount Rate

The interest rate used to determine the present value of future cash flows in discounted cash flow analysis, reflecting the time value of money.

Initial Investment

The amount of money used to start a project, purchase an asset, or invest in a business venture.

Marginal Cost

The cost incurred by producing one additional unit of a product or service.