Homework Help: Geometry

Posted by Olivia B. on Sunday, July 11, 2010 at 12:15pm.

A cone and cylinder both have a radius of 3 inches and a height of 6 inches. If the cone-shaped container is filled with water and this water is then poured into the empty cylindrical container, what will be the depth, in inches, of the water in the cylindrical container?

Geometry - Reiny, Sunday, July 11, 2010 at 12:18pm
No real calculations needed here.

Since the volume of a cone is 1/3 the volume of its corresponding cylinder, the water in the cylinder would rise 1/3 of the 6 inches or 2 inches.

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