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A solid right circular cone of height \(120\) \(cm\) and radius \(60\) \(cm\) is placed in a right circular cylinder full of water of height \(180\) \(cm\) such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is equal to the radius of the cone.
Volume of remaining water \(=\) \(cm^3\)
[Note: Enter the answer as a whole number]
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