Rationalize the Denominator $r = \sqrt { \frac { 3 V } { \pi h } }$

question 12

Multiple Choice

Rationalize the denominator. Assume that all variables represent nonnegative numbers and that the denominator is not
zero.
-The radius of a right circular cone is given by the formula $r = \sqrt { \frac { 3 V } { \pi h } }$ , where $V$ is the volume and $h$ is the height. If the volume is 552 cubic inches and the height is 13 inches, what is the radius? Use $3.14$ for $\pi$ , and round your answer to the nearest tenth of an inch.

• A) 0.2 in.
• B) 6.4 in.
• C) 3.7 in.
• D) 6.7 in.

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Definitions:

After-tax Operating Income

The profit a company generates from its core business operations after taxes have been subtracted, excluding non-operating income and expenses.

Equivalent Annual Cost

A financial analysis method used to compare the cost-effectiveness of different investments with unequal lifespans by converting their costs into an annualized format.

Required Return

The minimum annual percentage earned by an investment that will induce individuals or companies to commit money to the investment. It is also known as the cost of capital when applied to investment appraisal.

Ignore Taxes

A financial analysis assumption where tax implications are disregarded to simplify the calculation.