Question

TUTUWup Pruulems
1. Find the capacity in litres of a tank 0.6 m long, 10 cm
wide and 50 mm deep.
[Ans. 3 L]​

Answer 1

Solution :

$\quad \qquad \red\star\:\sf Length\:of \:a \: tank = 0.6m$

$\quad \qquad \red\star\:\sf Breadth\:of \:a\:tank = 10cm = 0.1m$

$\quad \qquad \red\star\:\sf Height\:of \:tank = 50m=0.05m$

$\qquad \quad {\underline{\underline{\bf{Volume \: of \: cylinder}}}}$

$\implies\sf Length \times breadth \times height$

$\implies\sf 0.6 \times 0.1 \times 0.05$

$\implies\sf \dfrac{6}{10}\times \dfrac{1}{10}\times \dfrac{5}{100}$

$\implies\sf \dfrac{ \cancel{6} \: \:^ 3}{ \cancel{10} \: \: ^5} \times 0.1 \times \dfrac{ \cancel 5 \: ^1}{ \cancel{100} \: \: ^{20}}$

$\implies\sf \dfrac{3}{5}\times 0.1 \times \dfrac{1}{20}$

$\implies\sf \dfrac{0.3}{100}$

$\implies\sf \dfrac{\dfrac{3}{10}}{100}$

$\implies\sf \dfrac{3}{10}\times \dfrac{1}{100}$

$\implies\sf \dfrac{3}{1000}$

$\implies\sf 0.003m^3$

$\qquad \therefore\sf 0.003 \times 1000 = 3L$