5. A tank is to be constructed of some fixed volume V . The tank is built by placing two hemispheres of radius R at each end of a cylinder of height h and radius R. If the cost of making the hemispherical ends is twice as much as the cost of making the cylinder (per unit area), find the ratio of h to R that minimizes the cost of the tank

5. A tank is to be constructed of some fixed volume V . The tank is built by placing two hemispheres of radius R at each end of a cylinder of height h and radius R. If the cost of making the hemispherical ends is twice as much as the cost of making the cylinder (per unit area), find the ratio of h to R that minimizes the cost of the tank

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

Section9.3: Cylinders And Cones

Problem 40E: For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is...

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