How many lead shots each 3 cm in radius can be made by melting a solid cuboid of dimensions 9 cm × 22 cm × 12 cm?

(Take $\pi=\frac{22}{7}$)

21

We have,

Cuboid of dimensions 9 cm × 22 cm × 12 cm

Cuboid's volume = 9 cm × 22 cm × 12 cm

Radius of = lead shots each 3 cm

Volume of lead shot = \(\frac{4}{3}\)πr³

= \(\frac{4}{3}\) × \(\frac{22}{7}\) × 3³

So let the lead shots made = n

so, the value of n = (9 cm × 22 cm × 12 cm) / (\(\frac{4}{3}\) × \(\frac{22}{7}\) × 27)

n = 21