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"(b) A solid consisting of a right circular cone, standing on a hemisphere, is placed upright in a right circular\ncylinder full of water and touches the bottom. Find the volume of water left in the cylinder having given\nthat the radius of the cylinder is \\( 3 \\mathrm { cm } \\) and its height is \\( 6 \\mathrm { cm } \\), the radius of the hemisphere is \\( 2 \\mathrm { cm } \\) and\nthe height of the cone is \\( 4 \\mathrm { cm } \\). Give your answer to nearest cubic centimetre."

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