Q29 of 70 Page 21

A cube of side 4 cm contains a sphere touching its side. Find the volume of the gap in between.

Volume of a cube = side3


Volume of a sphere = (4/3)πr3


Given, cube of side 4 cm contains a sphere touching its side


Radius of the sphere = 4/2 = 2 cm


Volume of the gap in between = 43 - (4/3)π × 23


⇒ Volume of the gap in between = 30.48 cm3


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