a cylindrical boiler 2m high is 3.5m in diameter. it has a hemispherical lid. find the volume of its interior, including the part covered by the lid.
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Given : a cylindrical boiler 2m high is 3.5m in diameter.
it has a hemispherical lid
To Find :volume of its interior, including the part covered by the lid.
Solution :
Volume of interior = Volume of cylinder + Volume of Lid
Volume of cylinder = πr²h
π = 22/7
r = diameter/2 = 3.5/2 = 7/4 m
h = 2 m
Volume of cylinder = (22/7)(7/4)²*2
= 77/4 m³
Volume of Lid = Volume of hemisphere
hemisphere diameter would be same as cylinder
r = 7/4 m
Volume = (2/3)πr³
= (2/3)(22/7)(7/4)³
= 539/48 m³
Total Volume = 77/4 + 539/48
=1463/48
= 30.48 m³
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