Question

How many spherical lead shots of diameter $4.2$ cm can be obtained from a solid rectangular lead piece with dimensions $66$cm$\times$$42$ cm$\times$$21$ cm.

Answer 1

Let, $"n"$ be the number of lead shots.

$n\times V_{sphere}=V_{cuboid}$

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

$n\times \frac{4}{3}\times \frac{22}{7}\times (2.1{)}^3=66\times 42\times 21$

Upon solving, we get,

$n=3\times 5\times {10}^2$

$\therefore n=150$.