milk tank is the shape of a cylinder with a hemisphere of same radius are attached to both ends of it as soon as a visa if the total height of the tank is 6 metre and the radius is 1 metre calculate the maximum quantity of the milk fill in the tank in litres
Answers
The maximum quantity of the milk fill in the tank in litres is 16761 L.
Step-by-step explanation:
Required formulas:
- Volume of hemisphere = πr³
- Volume of cylinder = πr²h
The total height of the milk tank = 6 m
The radius, r = 1 m
It is given that the milk tank is in the shape of a cylinder with a hemisphere of the same radius attached to both its ends, so,
The height of the cylinder, h will be = 6 – 1 – 1 = 4 m
Therefore,
The volume of the tank is given by,
= [2 * {volume of the hemisphere}] + [volume of the cylinder]
= [2 * πr³ ] + [πr²h]
= [2 * * 1³ ] + [ * 1² * 4]
= 4.19 + 12.571
= 16.761 m³
Since 1 m³ = 1000 L
Thus,
The maximum quantity of the milk that can be filled in the tank is,
= 16.761 * 1000
= 16761 L
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Answer:16.761 cubiccm
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Step-by-step explanation:
Total height. =6 m
Radius 1. M