social welfare Association decides to supply drinking water for the flood affected people drinking water is filled in a water tank which is in the shape of cylinder with hemispherical ends as shown in the figure thewhole length of the tanker is 4.2 metre and the diameter of the base of the cylinder and two hemisphere are each 1.2 metre if the distributed drinking water reach the shape of cylinder of radius 1 cm and height 50 cm find the quantity of water left in the tanker distributed in litre
Answers
The quantity of water left in the tanker after distribution in litres is 137 litres.
Step-by-step explanation:
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Q. A social welfare Association decides to supply drinking water for the flood affected people the drinking water is filled in water tanker which is in the shape of cylinder with hemispherical end and the whole length of the tanker is 4.2 metre and the diameter of the base of the cylinder and the two hemisphere are each of 1.2 M if the distribute drinking water to 60 people in a container each is in the shape of cylinder of radius 21 cm and height 50 cm find the quantity of water left in the tanker after distribution in litre .
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 = 50 cm = 0.5 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 cylindrical containers]
= 60 * [πr²h]
= 60 * (22/7) * 0.21² * 0.5
= 4.158 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 - 4.158 m³
= 0.137 m³
∵ 1 m³ = 1000 litres
= 137 litres
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Answer:
Step-by-step explanation:
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