The largest sphere is carved out of a cube of side 10.5 cm. Find the ratio of their volumes.
Largest sphere that can be carved out of a cube will have its diameter as the side of the cube.
Radius of the largest sphere carved out of a cube of side 10.5 cm = 10.5/2 = 5.25 cm
Volume of a cube = side3
Volume of a sphere = (4/3)πr3
Ratio of their volumes