Geometry and TrigonometryMediumVolume ratio from halving the radius
Geometry and Trigonometry practice question
Cylinder A has a radius of 4 and a height of 5. Cylinder B has a radius of 2 and the same height. The volume of cylinder A is how many times the volume of cylinder B?
Answer: 4
Volume = πr²h. With the same height, the ratio is (4²)/(2²) = 16/4 = 4.
Common wrong answers
- If you answered 2
- 2 is the ratio of the radii. Volume depends on the radius SQUARED, so the ratio is 2² = 4.
- If you answered 8
- 8 would be the ratio if the height had doubled too (2³).
- If you answered 16
- 16 is 4², the square of A's radius alone; divide by B's 2² = 4.
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