A hollow cube of side 4 cm contains a solid sphere touching its sides. Find the volume of the gap between the sphere and the walls of the cube.
Concept Used: Volume of the gap = Volume of the cube – the volume of the sphere
The volume of the cube = a3
The volume of the sphere 
Where a = side of the cube and r = radius of the sphere
Given: The side of the cube = 4 cm
Explanation:
As the sphere is completely inside the cube, the diameter of sphere = side of the cube.
The diameter of the sphere = 4 cm
Radius 
The radius of the sphere = 2 cm
The volume of the gap 
Putting the value of “a” and “r” we get,
The volume of the gap 
cm3
The volume of the gap = 33.52 cm3
Hence, the volume of the gap = 33.52 cm3.
11