Q29 of 107 Page 17

The largest possible sphere is carved out of a wooden solid cube of side 7 cm. Find the volume of the wood left.

To be the largest, diameter of the sphere = edge of the cube

∴ its radius = 1/2 × edge


Volume of wood left = volume of cube – volume of sphere



= 343 – 179.67


= 163.33 cm3


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