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

Solution:

Given dimensions of the cuboidal solid = 9 cm× 11 cm× 12 cm

Volume of the cuboidal solid = 9×11×12 = 1188 cm3

Diameter of shot = 3 cm

So radius of shot, r = 3/2 = 1.5 cm

Volume of shot = (4/3)r3

= (4/3)×1.53

(4/3)×(22/7)×1.53

= 297/21 cm3

Number of shots made from cuboidal lead of solid = 1188÷(297/21)

= 1188×21/297

= 84

Hence the number of shots made from cuboidal lead of solid is 84.