21. Minimizing surface area. An oil drum of standard sizehas a volume of 200 gal, or 27 ft³. What dimensionsyield the minimum surface area? Find the minimumsurface area.Do these drums appear to be made in such a way as to minimizesurface area?

Let the radius of the drum be rft and height be hft. As the volume of the drum is 27ft We get…

Answered: 21. Minimizing surface area. An oil…

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

Section9.2: Pyramids, Area, And Volume

Problem 35E

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21. Minimizing surface area. An oil drum of standard size has a volume of 200 gal, or 27 ft³. What dimensions yield the minimum surface area? Find the minimum surface area. Do these drums appear to be made in such a way as to minimize surface area?