Geometry and TrigonometryVery hardCone height matching a cylinder's volume
Geometry and Trigonometry practice question
A cone and a cylinder have the same radius. The cylinder's height is 4, and the cone's volume equals the cylinder's volume. What is the height of the cone?
Answer: 12
A cone's volume is one third of a cylinder's with the same base and height, so the cone needs three times the height: 12.
Common wrong answers
- If you answered 4
- 4 is the cylinder's height.
- If you answered 8
- 8 doubles the height.
- If you answered 4/3
- 4/3 divides instead of multiplying by 3.
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