Question

find the capacity (in litres) of a cylindrical storage tank of height 1.2 m and base diameter 35 cm

Answer 1

$\Longrightarrow{\boxed{\bold{Answer: 115.5\:liter }}}$

$\textbf{\underline{Step-by-step explanation :- }}$

Volume of cylindrical tank = πr²h

$\textsf{But units matter too,}$

So 35 cm = 35/100 m or 0.35 m

So volume = 22/7 × (0.35/2)² × 1.2 m ³

= 22/7 × 0.35/2 × 0.35/2 × 1.2 m³

= 11 × 0.05 × 0.35 × 0.6 m³

$\bold{\large{= 0.1155\:m^3}}$

$\bold{\underline{Since\:1\:m^3=1000\:liters}}$

So, 0.1155 m³ = 0.1155 × 1000 l

$\textbf{\textit{\underline{\huge{= 115.5 l}}}}$

Answer 2

Question : Find the capacity (in litres) of a cylindrical storage tank of height 1.2 m and base diameter 35 cm.

${\huge\sf { Answer : 115.5 \: litres}}}$

Height of the cylindrical tank = 1.2 metre = 120 cm.

Base diameter = 35 cm

$\sf{ \therefore Base \: radius = \frac{35}{2}}$

= 17.5 cm

Now,

$\sf \underline{Volume \: of \: cylinder = π r^2 h}$

$\sf{= \frac{22}{7} \times 17.5 \times 17.5 \times 120}$

$\sf {= 22 \times 2.5 \times 17.5 \times 120}$

$\sf{ = 22 \times 5250}$

$\sf{ = 115,500} \:cm {}^{3}$

Now,

We know that,

1 litre = 1000 cu. cm

$\sf{ = \frac{115500 }{1000}} litres$

$\sf{= 115.5 \: litres }$

Therefore,

The capacity of the cylindrical storage tank is 115.5 litres.

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