Geometry and TrigonometryVery hardEffect of doubling the radius of a cylinder
Geometry and Trigonometry practice question
A cylindrical tank's radius is doubled while its height stays the same. How does the volume change?
- A. It becomes 4 times as large.Correct
- B. It doubles.
- C. It becomes 8 times as large.
- D. It becomes 6 times as large.
Answer: A. It becomes 4 times as large.
V = πr²h. Doubling r multiplies r² by 4, so the volume is 4 times as large.
Why the other answers are wrong
- B. It doubles.
- Doubling would apply if volume scaled with r, but it scales with r².
- C. It becomes 8 times as large.
- 8 times would need all three dimensions doubled.
- D. It becomes 6 times as large.
- 6 has no basis; (2r)² = 4r².
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