Question

A milk tank is in the form of cylinder whose radius is 2m and length is 7m. find the quantity of milk in litres that can be stored in the tank.​

Answer 1

Answer:

88000 litre milk can be stored in the cylindrical milk tank

Step-by-step explanation:

Here, we are given with the radius and length of a cylindrical milk tank.of milk that can be stored in the tank, so we need to find the volume of the tank.

The milk tank is in the shape of a cylinder.

• The radius of the milk tank = 2m
• The length of the milk tank = 7m

( Here, length is the height of the cylindrical tank )

Volume of a cylinder = πr²h

Where,

• r = radius of the cylinder
• h = height of the cylinder

Volume = π( 2m)²(7m)

Volume = π × 4m² × 7m

Volume = π × 28m³

Volume = 22/7 × 28m³

Volume = 88m³

88m³ milk can be stored in the tank. But, we are asked to answer it in litres

1m³ = 1000 l

88m³ = (1000 × 88)l = 88000l

88000 litre milk can be stored in the cylindrical milk tank

Answer 2

Given :-

• Shape of tank = Cylinder
• Radius of Tank = 2m
• Height of Tank = 7m

To Find :-

• Volume of the Tank.

Solution :-

⇒ Volume of Tank = πr²h

⇒ Volume of Tank = 22/7 × (2)² × 7

⇒ Volume of Tank = 22/7 × 2 × 2 × 7

⇒ Volume of Tank = 22 × 2 × 2

⇒ Volume of Tank = 44 × 2

⇒ Volume of Tank = 88m³

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The Volume of tank is in m³ but we have asked in litres so, we will change the volume in litres

⇒ 1 m³ = 1000 litres

⇒ 88 m³ = 1000 × 88

⇒ Volume = 88000 litres

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Therefore, 88000 litres of milk can be stored in the tank.

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More For Knowledge :-

$\underbrace\orange{\boxed{ \sf \green{ Standard\: Units \:of \: Volumes}}}$

$\qquad \quad {:} \longrightarrow \bf{\bf{ 1{m}^{3} \: = \: 1000000 {cm}^{3} }}$

$\qquad \quad {:} \longrightarrow \bf{\bf{ 1{m}^{3} \: = \: 1000{dm}^{3} \: = \: 1000 \: litres }}$

$\qquad \quad {:} \longrightarrow \bf{\bf{ 1{dm}^{3} \: = \: 1000{cm}^{3} \: = \: 1000 \: mililitres }}$

$\qquad \quad {:} \longrightarrow \bf{\bf{ 1kilo \: litre \: = \: 1000 \: litre \: = \: {10}^{6} \: {cm}^{3} \: = \: 1 {m}^{3} }}$

$\qquad \quad {:} \longrightarrow \bf{\bf{ 1 \: {cm}^{2} \: = \: 1000 {mm}^{3} }}$

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