16Hit1600
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.

More Geometry and Trigonometry questions

Not affiliated with the College Board. SAT is a trademark of the College Board.