A Cylindrical Bucket Is Being Filled with Paint at a Rate

question 22

Multiple Choice

A cylindrical bucket is being filled with paint at a rate of 4 cm ³/min. How fast is the level rising when the bucket starts to overflow? The bucket has a height of 50 cm and a radius of 10 cm.

• A)0.013 cm/min
• B)0.315 cm/min
• C)0.164 cm/min
• D)0.617 cm/min
• E)0.768 cm/min

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Definitions:

Marginal Utility

Marginal utility is the additional satisfaction or benefit received by consuming one more unit of a good or service, often decreasing as consumption increases.

Reallocating Expenditures

The process of adjusting how money is spent across different goods, services, or categories to optimize outcomes or achieve desired objectives.

Substitution Effect

(1) A change in the quantity demanded of a consumer good that results from a change in its relative expensiveness caused by a change in the good’s own price. (2) The reduction in the quantity demanded of the second of a pair of substitute resources that occurs when the price of the first resource falls and causes firms that employ both resources to switch to using more of the first resource (whose price has fallen) and less of the second resource (whose price has remained the same).

Product Quality

Refers to the characteristics and features of a product that contribute to its ability to meet given requirements or expectations.