Sand Is Pouring from a Pipe at the Rate of 12

question 91

Multiple Choice

Sand is pouring from a pipe at the rate of 12 cubic feet per second. If the falling sand forms a conical pile so that its height is always the diameter of the base, how fast is the height of the pile increasing when the height of the pile is 6 feet tall? Round answer to nearest hundredth.

• A) 0.21 ft/sec
• B) 0.07 ft/sec
• C) 0.25 ft/sec
• D) 0.03 ft/sec

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Definitions:

Rejecting

In statistical hypothesis testing, it refers to the act of dismissing the null hypothesis based on the level of significance and the test statistic.

Type I Error

The error of incorrectly dismissing a true null hypothesis, often referred to as a "false positive" in the context of hypothesis testing.

Innocent Person

An innocent person is someone who has not committed a crime or any offence they are accused of.

Guilty Defendant

In legal terminology, a person who has been formally charged with or convicted of a criminal offense.