Half of the cylindrical part of this structure will be buried under the ground, and the rest will be buried in the ground. will be above it. The material to be used in the construction of the underground part Since it has 4 times the cost of the one above ground, such a structure has a minimum cost. What size should it be in order to be finished at a cost?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 11P
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It is desired to build a structure like the one in the figure with a volume of V (hemispherical and six cylinders on top).
Half of the cylindrical part of this structure will be buried under the ground, and the rest will be buried in the ground.
will be above it. The material to be used in the construction of the underground part
Since it has 4 times the cost of the one above ground, such a structure has a minimum cost.
What size should it be in order to be finished at a cost?

Hacmi V olan şekildeki gibi(üstü yarım küre altı silindir) bir yapı inşa edilmek isteniyor.
Bu yapının silindir olan kısmının yarısı toprak altına gömülecek geri kalan kısım ise toprak
5.
üstünde yer alacaktır. Toprak altında kalan kısmın yapımında kullanılacak materyel
h
toprak üstünde kalanın 4 katı maliyete sahip olduğuna göre böyle bir yapının minimum
maliyetle bitirilebilmesi için boyutları ne olmalıdır.
Transcribed Image Text:Hacmi V olan şekildeki gibi(üstü yarım küre altı silindir) bir yapı inşa edilmek isteniyor. Bu yapının silindir olan kısmının yarısı toprak altına gömülecek geri kalan kısım ise toprak 5. üstünde yer alacaktır. Toprak altında kalan kısmın yapımında kullanılacak materyel h toprak üstünde kalanın 4 katı maliyete sahip olduğuna göre böyle bir yapının minimum maliyetle bitirilebilmesi için boyutları ne olmalıdır.
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