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Since the edge of cube is 9 cm this will be the altitude of the cone. The radius of circular cone will be 9:2=4.5 cm. The volume of cone is given by formula: , where R is the radius and H the altitude of cone. Since we are asked for the largest cone, its volume must be equal or less than the volume of cube. We write:

Diameter of cone = height of the cone = side of cube = 9cm volume of cone = 1/3 × 22/7 × r × r × h radius of cone = 9 / 2 cm = 1/3 × 22/7 × 9/2 × 9/2 × 9 = 2673/14 =190. 9 cm cube