Question

A conical pit have top diameter 7m and 12m deep. what is its capacity in litres?

Answer 1

Diameter = 7m
Radius = 7/2m
Height = 12m
Volume = 1/3πr^2h
= 1/3 X 22/7 X 7/2 X 7/2 X 12
= 154m^3
= 154 X 1000
= 154000 litres

Answer 2

Answer:

$The \: capacity \: of \: conical \: pit \\= 154000 \: litres$

Step-by-step explanation:

$Dimensions \: of \: a \\conical \: pit :\\Diameter(d)= 7\:m\\Radius =\frac{d}{2}\\=\frac{7}{2}\: cm \\Depth(h)=12\:m$

$\boxed {Volume \: of \: a \: cone (V) = \frac{1}{3}\times \pi r^{2}h}$

$\implies V =\frac{1}{3}\times\frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times 12\\=22\times 7\\=154\:m^{3}\\=154\times1000\: litres$

/* 1 m³ = 1000 litres */

$= 154000 \: litres$

Therefore,

$The \: capacity \: of \: conical \: pit \\= 154000 \: litres$

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