Question

A cylinder tank has a capacity of 2156 m3 and diameter of its base in 14 m .if π =
$\frac{22}{?7}$
find the depth of the tank

Answer 1

Anwer:-

Step by step explanation

$diameter \: of \: the \: base \: \: of \: cylinder \: tank \: = 14m \\ \\ capacity{volume} \: of \: tank = \pi {r}^{2} h \\ 2156mcube \: = \pi {r}^{2}h \\ \\ 2156m \: cube \: = 22 \div 7 \times 7 \times 7 \times h \\ \\ h = 2156 \div 154 \\ = 14m$

Answer 2

$\underline\bold{\huge{solution!!}}$
$<b>$

Given:-

Volume = 2156 m cube.

Diameter = 14 m

Radius = 14/2 = 7 m

$= > \pi {r}^{2} h = volume \: of \: cylinder$

$= > \frac{22}{7} \times {7}^{2} \times h = 2156$

$= > 22 \times 7 \times h \: = 2156$

$= > h = \frac{2156}{22 \times 7}$

$= > h = \frac{308}{22}$

$= > h = 14 \: m$

HENCE, depth of the tank = 14 m .