Question

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

Answer 1

Given: $d=3$ cm

$\therefore r=1.5$cm

Volume of cuboid $=n\times$ Volume of 1 spherical shot

$l\times b\times h=n\times \frac{4}{3}\pi r^3$

$9\ast 11\ast 12=n\times \frac{4}{3}\pi \times (1.5{)}^3$

$n=\frac{1188}{14.1428}=84$