Two identical hemispheres of maximum possible size are cut from a solid cube of side 14 cm. The bases of the hemispheres are part of the two opposite faces of cube. What is the total volume (in c
m
3
) of the remaining part of the cube
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Maximum radius of hemispheres = 7cm (two of them have to fit into the height of the cube). Therefore total volume of hemispheres = 4/3π. (7^3)cm^3 = 1436.755 cm^3 (exactly as though one complete sphere were placed in the cube. Therefore volume of remainder = 14^3–1436.755 = 1307.245 cm^3 approx.
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