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 $\pi=\frac{22}{7}$)
Answer & explanation
Correct answer: option 4
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