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:

Given, a solid cube of lead with edge 44 cm

We have to find the number of spherical lead shots of diameter 4 cm that can be made out of the solid cube.

Volume of cube = a³

Given, edge = 44 cm

Volume of solid cube = (44)³

= 85184 cm³

Volume of sphere = (4/3)πr³

Given, diameter of lead shot = 4 cm

Radius = 4/2 = 2 cm

Volume of lead shots = (4/3)(22/7)(2)³

= (4/3)(22/7)(8)

= 33.52 cm³

Number of spherical lead shots that can be formed = volume of solid cube/volume of lead shot

= 85184/33.52

= 2541

Therefore, 2541 lead shots can be formed from the solid lead cube.

✦ Try This: How many spherical bullets can be made out of a solid cube of lead whose edge measures 33 m, each bullet being 6 cm in diameter?

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 13

NCERT Exemplar Class 10 Maths Exercise 12.3 Problem 12

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

Summary:

2541 spherical lead shots of diameter 4 cm can be made out of a solid cube of lead whose edge measures 44 cm

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