One Swimming Pool Is Circular and Another Is Rectangular $2 \pi$

question 141

Multiple Choice

One swimming pool is circular and another is rectangular. The rectangular pool's width is six times its depth. Its length is 12 feet more than its width. The circular pool has a diameter that is twice the width of the rectangular pool, and it is 2 feet deeper. Find the ratio of the circular pool's volume to the rectangular pool's volume.

• A) \(2 \pi\)
• B) \(\pi\)
• C) \(\frac { 1 } { \pi }\)
• D) \(\pi ^ { 2 }\)
• E) \(6 \pi\)

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Definitions:

Type II Error

A statistical error that occurs when failing to reject a false null hypothesis; also known as a false negative.

α

The significance level in hypothesis testing, typically representing the probability of committing a Type I error.

Type II Error

The error that occurs when the null hypothesis is not rejected when it is actually false, also known as a "false negative".

Sample Size

The number of observations or units chosen from a population for the purpose of statistical analysis.