Question:
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 cuboidal = 9 cm x 11 cm x 12 cm
∴ Volume of cuboidal = 9 x 11 x 12 = 1188 cm3
and diameter of shot = 3 cm
$\therefore \quad$ Radius of shot, $r=\frac{3}{2}=1.5 \mathrm{~cm}$
Volume of shot $=\frac{4}{3} \pi r^{3}=\frac{4}{3} \times \frac{22}{7} \times(1.5)^{3}$
$=\frac{297}{21}=14.143 \mathrm{~cm}^{3}$
$\therefore \quad$ Required number of shots $=\frac{1188}{14.143}=84$ (approx)