Question

A conical pit of top diameter $3.5m$ is $12m$ deep. What is its capacity in kilolitres?
$[Assume\pi =\frac{22}{7}]$

Answer 1

Radius ($r$) of the pit $=\left(\frac{3.5}{2}\right)m=1.75m$

Height of ($h$) of the pit = depth of the pit = $12m$

Volume of the pit
$=\frac{1}{3}\pi r^{2}h$
$=[\frac{1}{3}\times \frac{22}{7}\times (1.75{)}^2\times 12]m^3=38.5m^3$

Thus, the capacity of the pit = $38.5kilolitres$.
[$1m^3$ = $1000litres$ = $1kilolitre$]