Question

How many shots each having diameter $4.2cm$ can be made from cuboidal lead solid of dimensions $66cm\times 42cm\times 21cm$.

Answer 1

Volume of sphere $=\frac{4}{3}\pi r^3$

Here

Diameter $=4.2cm$

Radius $=2.1cm$

Volume of sphere $=\frac{4}{3}\times \frac{22}{7}\times (2.1{)}^3$

$=38.808c{m}^3$

Volume of cuboid $=lbh$

Here

$l=66cm$

$b=42cm$

$h=21cm$

Volume of cuboid $=66\times 42\times 21$

$=58212c{m}^3$

Hence

Number of shots $=\frac{Volumeofcuboid}{Volumeofsphere}$

$=\frac{58212}{38.808}$

$=1500$

Hence 1500 shots can be made.