Question

a cube of side 4 cm comtains a sphere touching its sides
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Answer 1

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