Question

A milk tank is in the form of cylinder whose radius is 1.5m and length is 7m . Find the quantity of milk in litres that can be stored in the tank
​

Answer 1

Answer :-

The quantity of milk in litres that can be stored in the tank is 49500 litres.

Step-by-step explanation:

To Find :-

• The quantity of milk.

★ Solution

Given that,

• A milk can is in the form of cylinder.
• Radius of cylinder = 1.5m
• Length of cylinder [height] = 7m

Firstly, finding the volume of cylinder :-

We know,

Volume of Cylinder = πr²h cubic units,

Where,

• r = Radius
• h = Height

Therefore,

⟶ πr²h

⟶ π × r² × h

⟶ 22/7 × (1.5)² × 7

⟶ 22/7 × 1.5 × 1.5 × 7

⟶ 22 × 1.5 × 1.5

⟶ 33 × 1.5

⟶ 49.5m³

Now, According the question,

• Quantity of milk in litres

We know,

1000 litres = 1m³,

Therefore,

⟶ 49.5m³

⟶ 49.5 × 1000

⟶ 49500 litres.

Hence, The required Answer is 49500 litres.

Answer 2

Firstly Lets understand the concept:-

• Here Milk tank is a Cylinder.
• We have given to find the capacity of the tank .
• Hence We have to find the Volume of the Cylinder.

Given:-

In a Cylinder

• Radius=1.5m=r
• Height=7m=h

To find:-

Volume of the Cylinder.

Solution:-

We know that

$\boxed{\sf Volume_{(Cylinder)}=\pi r^2h}$

$\\ \tt{:}\Rrightarrow Volume_{(Cylinder)}=\dfrac{22}{\cancel{7}}\times(1.5)^2\times\cancel{7}$

$\\ \tt{:}\Rrightarrow Volume_{(Cylinder)}=22\times 2.25$

$\\ \tt{:}\Rrightarrow Volume_{(Cylinder)}=49.5m^3$

We know that

• 1 cubic m=1000litre

$\\ \tt{:}\Rrightarrow 49.5m^3$

$\\ \tt{:}\Rrightarrow 49.5\times 1000$

$\\ \tt{:}\Rrightarrow 49500litres$

$\\ \tt{:}\Rrightarrow 49500\ell$