# ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.5 in Chapter 17 - Mensuration

Question 20 Mensuration Exercise 17.5

How many spherical lead shots of diameter 4 cm can be made out of a solid cube of lead whose edge measures 44 cm?

Solution:

No matter how different the new shape is, when we change one solid shape into another, its volume stays the same. In reality, if we divide a large cube into numerous small spheres of lead, the total volume of the smaller spheres equals the volume of the original cube.

Edge of the cube, a = 44 cm

Volume of cube = a3

= 443

= 85184 cm3

Diameter of shot = 4 cm

So radius of shot, r = 4/2 = 2 cm

Volume of a shot = (4/3)π r3

= (4/3)×(22/7)×23

= 704/21 cm3

Number of lead shots made from cube = 85184÷(704/21)

= 85184×21/704

= 2541

Hence the number of shots made from cube is 2541.

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