A gasoline dealer commissioned a machine shop owner to fabricate a metal tank in the shape of a cylinder of height (H) with hemispherical bottom and a circular cover. The circular top, cylinder and hemispherical bottom shall all have the same diameter (D). The cost ofmaterials is USD 1200/m2 and labor cost is given by the equation: USD [2500/(D2H) + 3000/(DH2)]. Find the optimum Diameter and Height.

A gasoline dealer commissioned a machine shop owner to fabricate a metal tank in the shape of a cylinder of height (H) with hemispherical bottom and a circular cover. The circular top, cylinder and hemispherical bottom shall all have the same diameter (D). The cost ofmaterials is USD 1200/m2 and labor cost is given by the equation: USD [2500/(D2H) + 3000/(DH2)]. Find the optimum Diameter and Height.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter2: Steady Heat Conduction

Section: Chapter Questions

Problem 2.35P

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