a cube of side 4 cm comtains a sphere touching its sides
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Let ABCD be cube which contain sphere touching its sides.The diameter of sphere is the sides of the cube.
Now,
The volume of the gap in between cube and sphere
= volume of cube -volume of sphere
=(a)³−4/3 π r³
=(4)³−4/3×22/7×(4/2)³
=64−4/3×22/7×8
=64−704/21
=1344 - 704 = 640 = 30
21 21
= 30cm³
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