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To answer this question the following assumptions have been made:

  • ms = mild steel
  • OD = outer diameter
  • Density of mild steel = 7.85 gcm-3

The easiest method of calculating the volume of a material forming a hollow cylinder is to:

  • Calculate the volume of the cylinder as if it were solid using the outer diameter
  • Find the inner (hollow) volume by subtracting 2 x the material thickness from the outer diameter and calculating the volume of the inner (hollow) cylinder.
  • The inner volume of the cylinder can then be subtracted from the outer to give the volume of solid material.
  • From this the mass can be calculated.
Volume of cylinder:Diameter = 65 cm

Radius = 32.5 cm

Area = pi(r)2 = 3,318.31 cm2

Volume = Area x Height

= 3,318.31 x 120

= 398,197.2 cm3

Volume of inner (hollow) cylinder:Diameter = 62.6 cm

Radius = 31.3 cm

Area = pi(r)2 = 3,077.79 cm2

Volume = 3,077.79 x 120

= 369,334.8 cm3

Volume of steel forming pipe:Volume of steel = Total volume - Inner volume

= 398,197.2 - 369,334.8

= 28,862.4 cm3

Mass of steel forming pipe:Mass = Density x Volume

= 7.85 x 28,862.4

= 226,569.84 g

Mass of pipe = 226.57 kg

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