Each of the following problems consist of a question followed by two…
2024
Each of the following problems consist of a question followed by two statements, I and II. You must determine whether the information given by the statements is sufficient to answer the question asked. In addition to the information provided in the statements, you should rely on your knowledge of mathematics and ordinary facts (such as the number of seconds in a minute).
What is the volume of a right circular cylinder?
I. The area of the base of the figure is 196.
II. The height of the figure is 16.
- A.
if the question can be answered by using only statement I
- B.
if the question can be answered by using only statement II.
- C.
if the question can be answered by using both statements together, but cannot be answered using either statement alone.
- D.
if the question cannot be answered even by using both statements together.
Attempted by 317 students.
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Correct answer: C
Answer: The question can be answered using both statements together (the area of the base and the height).
Key idea: Volume of a right circular cylinder = (area of the base) × (height).
Statement I provides the area of the base = 196.
Statement II provides the height = 16.
Using both pieces of information: volume = 196 × 16 = 3136 (in cubic units).
Conclusion: Neither the base area alone nor the height alone is sufficient, but together they are sufficient to compute the volume.