Hugh has a cylinderical can with water inside and a cube. The can's volume in cm is times the radius of its base in cm. The volume of the can is also times the volume of the cube which is cm .
Hugh drops the cube inside the can with water. The cube drops to the base of the can, increasing the water level which reaches half of the height of the cube. The cube doesn't float on the water, so half of the cube is submerged.
How much height in cm was increased to the water level after the cube was dropped?
Note: The answer should be written to the nearest hundred-thousandths.
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