Question

Question 5
A conical pit of top diameter 3.5 m is 12 m 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 = 12 m

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, capacity of the pit
$=(38.5\times 1)$ kilolitres = 38.5 kilolitres
[$1m^3$ = 1000 litres = 1 killolitres]