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

Volume of cuboid = lbh, where, l = length, b = expansiveness and h = stature

Cuboidal lead:

Length, l = 9 cm

Expansiveness, b = 11 cm

Stature, h = 12 cm

Volume of lead \[=\text{ }9\left( 11 \right)\left( 12 \right)\text{ }=\text{ }1188\text{ }cm3\]

Volume of circle = 4/3πr3, where r = range of circle

Circular shots,

Width = 3 cm

Range, r = 1.5 cm

Volume of a single shot \[=\text{ }4/3\text{ }\times \text{ }22/7\text{ }\times \text{ }\left( 1.5 \right)3\text{ }=\text{ }99/7\text{ }cm3\]

NCERT Exemplar Class 10 Maths Chapter 12 Ex. 12.3 Question 2

Thus, the quantity of shots that can be produced using lead = 84.