Question

16 glass spheres each of radius 2 cm are packed into a cuboidal box of internal dimensions 16 cm × 8 cm × 8 cm and then the box is filled with water. Find the volume of water filled in the box.

Answer 1

For one glass sphere

Radius , r = 2 cm

As we know

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