School welfare Association decides to separate drinking water for the flood affected people the drinking water is filled in a water tanker which is in the shape of cylinder with hemispherical and shown in the figure the whole length of the tank is 4.2 metre and diameter of base of children to his percentage 1.2 metre the distributor drinking water to 60 people in a container is in the shape of cylinder of radius 21 cm and height 15 cm find the point of water left in tanker water distribution litres
Answers
The quantity of water left in the tanker after distribution in litres is 3047.6 litres.
Step-by-step explanation:
Step 1:
The length of the water tank = 4.2 m
The diameter of the base of the cylinder and the two hemispherical ends, d = 1.2 m
So, the radius, r = d/2 = 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
= × 0.6² × 3
= 3.39 m³
and
The volume of the 2 hemispherical ends is,
= 2 × [ πr³]
= × × 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 dimension of the small cylindrical containers:
Radius, r = 21 cm = 0.21 m
Height, h = 15 cm = 0.15 m
The no. of people to whom the drinking water was distributed in cylindrical containers = 60
∴ The volume of water distributed to 60 people is given by,
= 60 * [Volume of the small cylindrical containers]
= 60 * [πr²h]
= 60 * (22/7) * 0.21² * 0.15
= 1.2474 m³
Step 3:
Therefore,
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 - 1.2474 m³
= 3.0476 m³
∵ 1 m³ = 1000 litres
= 3047.6 litres
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