How many shots each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9cm × 11cm × 12cm

Solution:

Given, a cuboidal lead has dimensions 9cm × 11cm × 12cm

Shots of diameter 3 cm are made from the cuboidal lead

We have to find the number of shots.

Volume of cuboid = length × width × depth

= 9 × 11 × 12

= 99 × 12

= 1188 cm³

Volume of sphere = (4/3)πr³

Given, diameter of shot = 3 cm

Radius = 3/2 = 1.5 cm

Volume of shots = (4/3)(22/7)(1.5)³

= 14.14 cm³

Number of shots formed = volume of cuboidal lead / volume of shot

= 1188 / 14.14

= 84

Therefore, the number of shots formed is 84.

✦ Try This: How many shots each having diameter 2 cm can be made from a cuboidal lead solid of dimensions 8cm × 12cm × 16cm?

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

NCERT Exemplar Class 10 Maths Exercise 12.3 Problem 2

How many shots each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9cm × 11cm × 12cm

Summary:

84 shots each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9cm × 11cm × 12cm

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