A storage tank is in the form of a cylinder with hemispheres of same radius. If total length of the tank is 6m and radius is 1m. What is the capacity of the tank in litres ?
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Answer:
16755.16 litres
Step-by-step explanation:
Radius of hemispheres and cylinder ( r ) = 1 m
Total length of the tank = 6 m
Length of each hemisphere i.e height = 1 m
Length of both hemispheres = 2 × 1 = 2 m
Height of the cylinder = 6 m - 2 m = 4 m
Volume of tank = Volume of cylinder + 2 × Volume of hemisphere
= πr²h + 2 × ( 2πr³ / 3 )
= ( π × ( 1 )² × 4 ) + ( 4π × ( 1 )³ / 3 )
= 4π + 4π / 3
= 16π / 3
= 16/3 × 22/7
= 16.75516 m³
Conversion of capacity from m³ to litres
We know that
1 m³ = 1000 litres
16.75516 m³ = 16.75516 × 1000 = 16755.16 litres
Therefore the capacity of the tank is 16755.16 litres.
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