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Question
A cube of side 4 cm contains a sphere touching its side. Find the volume of the gap in between.
Solution
It is given that
Cube side = 4cm
Volume of cube =`(4cm)^3= 64cm^3`
Diameter of the sphere = Length of the side of the cube = 4cm
∴ Radius of sphere = 2cm
Volume of the sphere `=4/3πr^3 =4/3xx22/7xx(2)^3=33.52cm^3`
∴ Volume of gap = Volume of gap – Volume of sphere
=`64cm^2-33.52cm^3=30.48cm^3`
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