A cylindrical tube opened at both the ends is made of iron sheet which is 2 cm thick. If the outer diameter is 16 cm and its length is 100 cm, find how many cubic centimetres of iron has been used in making the tube?

Given: Outer diameter d = 16cm

Thus,


Height = length = 100cm


Thickness of iron sheet = 2cm


To find: Volume of iron used


Volume of cylinder = πr2h


Where r= outer radius


And π = 3.14


Thus, Volume of cylinder = πr2h = 3.14 × (8)2× 100


= 20,096 cm3


Now, inner diameter = outer diameter – 2× thickness of iron sheet


inner diameter = 16-(2× 2) = 12cm



Thus, Volume of hollow space = πR2 h


Where R= inner radius


And π = 3.14


Thus, Volume of hollow space = πR2 h = 3.14 × (6)2× 100


= 11,304 cm3


Thus,


Volume of iron used = Volume of cylinder – Volume of hollow space


= (20,096 – 11,304 ) cm3


= 8800 cm3

2