ISEE Quantitative Comparisons Question 149: Answer and Explanation

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Question: 149

2.

• A. The quantity in Column A is greater.
• B. The quantity in Column B is greater.
• C. The two quantities are equal.
• D. The relationship cannot be determined from the information given.

Correct Answer: B

Explanation:

The answer is B

As Column A contains an isolated r, manipulate the given equation to isolate r. First divide both sides by (that is, multiply both sides by the reciprocal): V = πr³. Next, divide both sides by π: = r³. Finally, take the cube root of both sides: = r. Because r is great than 1, the volume will be greater than r and, therefore, greater than 1. Because the value of Column B is the same as r³, the value of Column B is greater.

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