Choose the One Alternative That Best Completes the Statement or Answers

question 7

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-A steel can in the shape of a right circular cylinder must be designed to hold 550 cubic centimeters of juice (see figure) . It can be shown that the total surface area of the can (including the ends) is given by $S ( r ) = 2 \pi r ^ { 2 } + \frac { 1,100 } { r }$ ,
where $r$ is the radius of the can in centimeters. Using the TABLE feature of a graphing utility, find the radius that minimizes the surface area (and thus the cost) of the can. Round to the nearest tenth of a centimeter.

• A) \(0 \mathrm {~cm}\)
• B) \(5.6 \mathrm {~cm}\)
• C) \(4.4 \mathrm {~cm}\)
• D) \(3.6 \mathrm {~cm}\)

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Definitions:

Net Cash Flow

The total amount of money being transferred into and out of a business, especially as affecting liquidity.

Accumulated Depreciation

The total amount of a tangible asset's cost that has been expensed over time through depreciation.

Original Cost

The initial monetary value of an asset or investment, reflecting the purchase price or production cost before adjustments like depreciation or amortization.

Gain on Sale

Profit realized from the sale of assets or investments when the selling price exceeds the book value.