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A spherical ball was completely immersed into an inverted right circular cone full of water. After...

A spherical ball was completely immersed into an inverted right circular cone full of water. After the ball was removed it was found out that the water surface had dropped 6 cm. below the top of the cone. The diameter of the cone is 12 cm. and its altitude is 36 cm. Determine the wet area (in cm^2) when the cone is full.

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