Question

Social welfare association decides to supply drinking water for the flood affected people the drinking water is filled in the water tank which is in the shape of a cylinder with hemispherical ends as shown in the figure the whole length of the tank is 4.2 metre and diameter of the base of the cylinder and two hemispheres are each 1.2 metre is the distributor drinking water to 60 people in a container reach is in the shape of a cylinder of radius 21 cm and height 50 cm find the quantity of water left in the tanker after distribution in litres use π is equal to 22 by 7

Answer 1

Answer:

THE ANSWER IS EXPLAINED BELOW

Step-by-step explanation:

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Answer 2

Given:

The whole length of the water tank = 4.2 m

The diameter of the base of the cylinder and the two hemispherical ends = 1.2 m

No. of people to whom the drinking water is distributed = 60

Radius of the cylindrical containers = 21 cm = 0.21 m

Height of the cylindrical containers = 50 cm = 0.50 m

To find:

The quantity of water left in the tanker after distribution in litres

Solution:

Step 1:

∵ Diameter of the cylinder, d = 1.2 m

So, the radius, r = $\frac{diameter}{2} = \frac{1.2}{2}$ = 0.6 m

 

∴ The length of the cylindrical portion of the tank, h = 4.2 - 1.2 = 3 m

Now,  

The volume of the cylindrical portion is,

= πr²h  

= $\frac{22}{7}$ × 0.6² × 3

= 3.39 m³

and

The volume of the 2 hemispherical ends is,

= 2 × [ $\frac{2}{3}$ πr³]

= $\frac{4}{3}$ × $\frac{22}{7}$ × 0.6³

= 0.905 m³

∴ The volume of the drinking water tank is given by,

= [ volume of the cylindrical portion] + [volume of the 2 hemispherical ends]

= 3.39 m³ + 0.905 m³

= 4.295 m³

Step 2:

∴ The volume of drinking water distributed to 60 people is given by,

= 60 * [Volume of the cylindrical containers]

= 60 * [πr²h]

= 60 * $\frac{22}{7}$ * 0.21² * 0.5

= 4.158 m³

Step 3:

∴ The quantity of water left in the tanker after the distribution is given by,

= [volume of the drinking water tank] – [volume of water distributed to 60 people]

= 4.295 m³ - 4.158 m³

= 0.137 m³

∵ 1 m³ = 1000 litres

= 137 litres

Thus, the quantity of drinking water left in the tanker after distribution in litres is 137 litres.

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