Question

A tank contains 75000 Litres water if its length is 20 metre and breadth is 15 metre then find its height

Answer 1

Given:-

• A tank contains 75000 litres water.
• Length = 20m
• Breadth = 15m

To Find:-

• Height = ?

Solution:-

Firstly,we will change litres into centimeters

$\: \: \sf \: volume \: of \: tank = 75000litres \\ \\ \: \: \sf \: = 75000 \times 1000 {cm}^{3}$

Now convert metre into centimeters

$\: \: \sf \: length = 20m \\ \\ \: \: \: \sf \: = 2000cm \\ \\ \: \: \sf \: breadth = 15m \\ \\ \: \: \: \sf \: = 1500cm$

Now we will find height of the tank

$\: \: \sf \therefore \: height \: of \: the \: tank = \frac{volume \: of \: the \:tank }{l \times b}$

Now substitute the values,

$\: \: \sf \: height \: of \: the \: tank = \frac{75000 \times 1000}{2000 \times 1500} \\ \\ \: \: \sf \: = 25cm = \frac{25}{100} m \\ \\ \: \: \sf \: = \frac{1}{4} m$

Therefore, height of the tank is 1/4m.

Answer 2

Given :-

• A tank contains 75000 litres water.
• Length of tank = 20m
• Breadth of tank = 15m

To Find :-

• Height of the tank

Solution :-

Firstly,we will change litres into centimeters

$:\implies\sf Volume \: of \: tank = 75000litres$

$:\implies\sf75000 \times 1000 {cm}^{3}$

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Now convert Length of tank into centimeters

$\longrightarrow\sf Length = 20m = 2000cm$

$\longrightarrow\sf \: breadth = 15m = 1500cm$

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Now we will find height of the tank

$\large \red \bigstar \: \boxed{ \green{\bf Volume \:of\:tank= L\times B \times H }}$

Now substitute the values,

$\longmapsto\sf \: Height \: of \: the \: tank = \frac{75000 \times 1000}{2000 \times 1500}$

$\longmapsto\sf \: 25cm = \frac{25}{100} m$

$\longmapsto\sf \: \frac{1}{4} m$

Therefore, height of the tank is 1/4m.