This question is Based on Mensuration Chapter of M.L Aggarwal book for ICSE BOARD for class 10.

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

This is the Question Number 05, Exercise 17.4 of M.L Aggarwal.

Deepak BoraNewbie

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

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Given dimensions of the box = 16 cm ×8 cm ×8 cm

So volume of the box =

lbh = 16×8×8 = 1024 cm^{3}Radius of the glass sphere, r = 2 cm

Volume of the sphere = (4/3)r

^{3}= (4/3)×(22/7)×2

^{3}= 4×22×8/(3×7)

= 704/21

Volume of 16 spheres = 16×704/21 = 11264/21 = 536.38 cm

^{3}Volume of water filled in the box = Volume of the box – Volume of 16 spheres

= 1024 – 536.38

= 487.62 cm

^{3}Hence the volume of the water filled in the box is 487.62 cm

^{3}.