Question

A cone is filled to a height of 3 inches with a liquid. The liquid is then poured into an empty cylinder with the same height and same radius as the cone. What is the height reached by the liquid in the cylinder?

Answer 1

Answer: 1 inch

Volume of the cylinder = πr²h

Volume of the cone = 1/3πr²h

If the radius are the same for both the cone and the cylinder, then the liquid will reach 1/3 of its height in the cylinder compared to the cone. 

Height = 1/3 x 3 inches 
Height = 1 inch

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Answer: The height of the cylinder will be 1 inch.
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