# A cube of side 4 cm contains a sphere touching it 's sides . find the volume of the gap in between

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as the sphere touches the side of the cube

dia=4

radius=2

volume f sphere=4/3Лr²=33.51cm³

hence volume of the gap=v of cube-v of sphere

64-33.51=30.49cm³

as the sphere is touching sides of cube, so the diameter of sphere is equals to the side of the cube, i.e. diameter is 4 cm

Hence, radius = 2 cm

volume of sphere = (4/3)πr³ = (4/3)π×(2)³ = 704/21 ≈ 33.52 cm³

∴