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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.
Solution
Given, dimensions of the cuboidal = 16 cm × 8 cm × 8 cm
Volume of the cuboidal = 16 × 8 × 8 = 1024 cm3
Also, given radius of one glass sphere = 2 cm
∴ Volume of one glass sphere
= `4/3 pi"r"^3`
= `4/3 xx 22/7 xx (2)^3`
= `704/21`
= 33.523 cm3
Now, volume of 16 glass spheres
= 16 × 33.523
= 536.37 cm3
∴ Required volume of water
= Volume of cuboidal – Volume of 16 glass spheres
= 1024 – 236.37
= 487.6 cm3
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