Conical Vessel

Geometry Level 2

A conical vessel of radius 6 cm 6\text{ cm} and height 8 cm 8\text{ cm} is completely filled with water. A metal sphere is now lowered into the water. The size of the sphere is such that when it touches the inner surface, it just gets immersed. Find the fraction of water that overflows from the conical vessel.

Give your answer to 2 decimal places.


The answer is 0.38.

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