Geometry and TrigonometryHardCones filled from a cylindrical can
Geometry and Trigonometry practice question
A cylindrical can with radius 5 and height 12 is full of water. The water is poured into empty cone-shaped cups, each with radius 5 and height 12. How many of the cups can be filled completely?
Answer: 3
A cone's volume is one third of a cylinder's with the same radius and height, so the can fills exactly 3 cups.
Common wrong answers
- If you answered 1
- 1 assumes the cone holds as much as the cylinder.
- If you answered 2
- 2 assumes the cone holds half.
- If you answered 6
- 6 doubles the answer.
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