Question

A conical pit of top diameter $3.5m$ is $12m$ deep. What is its capacity in kilolitres?

• A. $38.5kl$
• B. $48.5kl$
• C. $32.5kl$
• D. $28.5kl$

Answer 1

Answer: (A)

$38.5kl$

For a conical pit, diameter $d=3.5m$.
$\therefore$ Radius $\left(r\right)=\frac{d}{2}=\frac{3.5}{2}m=1.75m$.
Also, Depth $\left(h\right)=12m$.

$\therefore$ Capacity of the conical pit
$=\frac{1}{3}\pi r^{2}h=\frac{1}{3}\times \frac{22}{7}\times {\left(1.75\right)}^2\times 12$
$=38.5m^3=38.5\times 1000l=38.5kl$.

Hence, option $A$ is correct.