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). Cost of materials 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). Cost of materials is USD 1200/m2 and labor cost is given by the equation: USD [2500/(D2H) + 3000/(DH2 )]. Find the optimum Diameter and Height.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 37E: Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat...

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