A solid consisting of a right circular cone, standing on a hemisphere, is placed upright in a right circular cylinder full of water and touches the bottom. Find the volume of water left in the cylinder, having given that the radius of the cylinder is
3 cm and its height is
6 cm; the radius of the hemisphere is
2 cm and the height of the cone is
4 cm. Give your answer to the nearest integer.
(Take π=227)