Acone 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?

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


The height of the cylinder will be 1 inch.

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