Aright circular cone, height 8 and radius of its circular base is 2, is resting with its apex on the upper face of an empty cube with edge length 4.396. a line from the center of the circular base of the cone through the apex of the cone is perpendicular to the upper face of the cube. the cone is filled with water and a small hole through the apex of the cone is opened to allow water to drop into the cube (assume the hole is small enough so that its radius can be disregarded for calculation purposes). let x represent the radius of the new circular base of the water left in the cone. find the value of x for the radius when x is also equal to the height of the water in the cube (height is measured from lower face of the square base of the upper lever of the water in the cube).