Q22 of 50 Page 1

The largest possible sphere is carved out of a wooden solid cube of side 7 cm. Find the volume of the wood left. [Use π = 22/7]

Given side of wooden solid cube = 7 cm


So, volume of wood left = volume of cube – volume of sphere


We know that volume of cube = (side)3 and volume of sphere = (4/3) πr3


Here 2r = 7 cm ⇒ r = 7/2 cm


⇒ Volume of wood left



= 343 – 179.66


= 163.33 cm3


∴ The volume of wood left is 163.33 cm3.


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