Assume That Water Is Being Purified by Causing It to Flow

question 98

Multiple Choice

Assume that water is being purified by causing it to flow through a conical filter that has a height of 5 inches and a radius of 4 inches. If the depth of the water is decreasing at a rate of 3 inches per minute when the depth is 4 inches, at what rate is the volume of water flowing out of the filter at this instant? Round your answer to two decimal places. ​

• A)The water is flowing out at the approximate rate of 96.51 in³ per minute.
• B)The water is flowing out at the approximate rate of 289.53 in³ per minute.
• C)The water is flowing out at the approximate rate of 74.39 in³ per minute.
• D)The water is flowing out at the approximate rate of 52.28 in³ per minute.
• E)The water is flowing out at the approximate rate of 70.62 in³ per minute.

Identify the factors leading to and consequences of stereotype threat and how it affects behavior.

Understand the psychological mechanisms behind social comparison and how it affects individual decision-making in social contexts.

Recognize how self-concept and group identity contribute to social behaviors such as in-group favoritism and out-group discrimination.

Explain how aggression and prosocial behaviors are learned and the role of observational learning.

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Definitions:

MP

A shorthand for "Member of Parliament," a representative elected to the legislative body of a country. Alternatively, in logic, it could stand for "Modus Ponens," a form of argument where from premises "If P, then Q" and "P," one concludes "Q."

Inference Forms

Structures of reasoning that establish a conclusion based on one or more premises.

MP

Stands for Modus Ponens, a crucial concept in formal logic entailing that from premises of the form "If P, then Q" and "P is true," one can conclusively deduce "Q must be true."

W

A letter in the English alphabet, often used to represent work in physics or width in measurements.