A cube of side 4cm contains a sphere touching its side. Find the volume of the gap in between
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The volume of the cube = (side)^3
=4*4*4
= 64 cm^3
The diameter of the sphere is 4 cm, and so its radius is 2 cm.
The volume of the sphere = (4/3)*(22/7)*r^3
= (4/3)(22/7)*2*2*2
= 33.52380952 cm^3
Hence the volume of the gap between the cube and the sphere = 64 - 33.52380952
=30.47619048 cm^3.
=4*4*4
= 64 cm^3
The diameter of the sphere is 4 cm, and so its radius is 2 cm.
The volume of the sphere = (4/3)*(22/7)*r^3
= (4/3)(22/7)*2*2*2
= 33.52380952 cm^3
Hence the volume of the gap between the cube and the sphere = 64 - 33.52380952
=30.47619048 cm^3.
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