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ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.4 in Chapter 17 - Mensuration

Question 5 Mensuration Exercise 17.4

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.

Answer:

Solution:

Here from the volume of cuboidal box, we need to subtract the volume of 16 glass sphers to get the volume of water filled in the box.

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

So volume of the box = lbh = 16×8×8 = 1024 cm3

Radius of the glass sphere, r = 2 cm

Volume of the sphere = (4/3)π r3

= (4/3)×(22/7)×23

= 4×22×8/(3×7)

= 704/21

Volume of 16 spheres = 16×704/21 = 11264/21 = 536.38 cm3

Volume of water filled in the box = Volume of the box – Volume of 16 spheres

= 1024 – 536.38

= 487.62 cm3

Hence the volume of the water filled in the box is 487.62 cm3.

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