Use Differentials to Estimate the Amount of Metal in a Closed

question 93

Multiple Choice

Use differentials to estimate the amount of metal in a closed cylindrical can that is 12 cm high and 8 cm in diameter if the metal in the top and bottom is 0.09 cm thick and the metal in the sides is 0.01 cm thick. (rounded to the nearest hundredth.)

• A) 8.34 \(\mathrm { cm } ^ { 3 }\)
• B) 6.99 \(\mathrm { cm } ^ { 3 }\)
• C) 6.91 \(\mathrm { cm } ^ { 3 }\)
• D) 6.7 \(\mathrm { cm } ^ { 3 }\)
• E) \(12.06\) \(\mathrm { cm } ^ { 3 }\)

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Definitions:

Scientific Observation

The systematic process of gathering empirical data through the use of controlled and repeatable methods, crucial for scientific inquiry and hypothesis testing.

Quantitative Measurement

The process of obtaining and evaluating numerical data to describe attributes of a phenomenon.

Decision Complexity

Refers to the level of difficulty involved in making a decision, often due to multiple variables, uncertainty, and potential consequences.

Nutritional and Dietary Requirements

The specific nutrient intake and dietary guidelines necessary to maintain health, often based on an individual's age, gender, and health status.