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Design a Cylindrical Can of Volume 100 Cubic Units That ab3\sqrt [ 3 ] { \frac { a } { b } }

question 28

Short Answer

Design a cylindrical can of volume 100 cubic units that requires a minimum amount of aluminum; that is, the can is to have a minimum surface area.
Enter your answer exactly as just r, h where r is exactly of form ab3\sqrt [ 3 ] { \frac { a } { b } } representing radius, and h is exactly of form cde3c \sqrt [ 3 ] { \frac { \mathrm { d } } { \mathrm { e } } } representing height (no labels, words, or units).

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Definitions:

Net Cash Flow

The amount of cash generated or lost over a specific period, considering cash inflows and outflows.

Depreciation Expense

The allocation of the cost of a tangible asset over its useful life, reflecting the decline in its value due to wear and tear.

Income Statement

A financial statement that shows a company's revenues and expenses over a specific period, culminating in net profit or loss.

Fixed Assets

Physical assets with a useful life greater than one year, which are used in the operations of a business, such as machinery or buildings.

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