a milk tank is in the shape of cylinder with a hemisphere of same radii attached to both ends of its it as show in figure if the total height of the tank is 6 m and the radius is 1 metre calculate the maximum quantity of milk filled in the tank in litres and also calculate the total surface area of the tank
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Answer:
Given,
Radius of tank (r) = 1m
Height of tank (h') = 6m
Height of Cylinder (h) = 6 - 2
= 4m
Volume of the tank = Volume of Cylinder + 2 ( Volume of hemisphere)
= πr²h + 2 * 2/3 πr³
= πr² ( h + 4/3r )
= πr² ( 4 + 4/3 )
= πr² ( 4 + 1.3 )
= 22/7 * 53/10
= 16.65 m³
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