16 glass spheres each of radius 2 cm are packed into a cuboidal box of internal dimensions and then the box is filled with water. Find the volume of water filled in the box.

For one glass sphere


Radius , r = 2 cm


As we know



Where, r is radius of Hemisphere


So ,





For cuboidal box,


Length, l = 16 cm


Breadth, b = 8 cm


Height, h = 8 cm


As,


Volume of cuboid = lbh where l, b and h are length, breadth and height respectively.


Volume of cuboid box = 16(8)(8) = 1024 cm3


Volume of water = Volume of Cuboid - Volume of 16 spheres


Volume of water = 1024 - 16(33.52) = 487.6 cm3


So, Volume of water in bucket is 487.6 cm3


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