A cylindrical pipe ‚ open at both ends ‚ is made from thick iron sheet of size 2 cm . If outer diameter is 16 cm and its length is 100 cm then tell how cm3 iron is used to make the pipe .
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Thickness = 2cm
outer diameter = 16cm = 2 outer radius
outer radius (R) = 8cm
as outer radius = inner radius + thickness
therefore inner radius = outer radius - thickness = 8 - 2 = 6cm
therefore volume of iron used = volume of outer cylinder - volume of inner cylinder
22/7 * R^2h - 22/7 * r^2h
22/7 * 100 ( 64 - 36 )
22/7 * 100 * 28
= 2200 * 4
= 8800 cm^3
therefore 8800 cm^3 of iron was used in making the cylindrical tube
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