Question

IU
EXAMPLE 12 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?
INCERT EXEMPLAR)
SOLUTION Volume of the lead in cubical colid - (9 x 11 x 12cm

. ?​

Answer 1

Answer:

84 shots

Step-by-step explanation:

Volume of cuboid = length × width × height

= 9 cm × 11 cm × 12 cm

= 1188 cm³

Volume of each spherical shot = (4/3)πr³

= (4/3) × 22/7 × (3 cm/2)³

= 14.14 cm³

When shots are made from a cuboid, total volume remains same.

So, if "n" shots are made out from cuboid then,

Volume of cuboid = n × Volume of each shot

n = Volume of cuboid / Volume of each shot

= 1188 cm³ / (14.14 cm³)

= 84

Hence, 84 shots are made from cuboid.