Q29 of 32 Page 13

Find the volume of the greatest sphere that can be cut of a cube of side 14 cm. Find also the volume of the remaining piece.


The greatest sphere will be such that
        diameter of sphere = side of cube
∴ radius of sphere = 14cm ÷ 2 = 7 cm
       Volume of sphere = π r3  =× × 7 × 7 × 7 cm3 = 1437.3 cm3
       Volume of cube = (14 × 14 × 14) cm3 = 2744 cm3
... Volume of remaining piece = (2744 - 1437.3) cm3 = 1306.7 cm3

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