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Question

Question 6
A cube of side 4 cm contains a sphere touching its sides. Find the volume of the gap in between.

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Solution

Given, side of the cube = 4 cm
Side of cube = Diameter of the sphere
Diamter = 4 cm
Radius of the sphere =42=2 cm
Volume of the gap = Volume of cube - Volume of sphere
=(Side)343πr3
=(4)343π(2)3 [ side of cube = diameter of sphere]
=(6443×227×8)=6433.52=30.48 cm3

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