Question: Consider a unique cylindrical vessel with an uncovered upper surface, designed for a specialized industrial process. This vessel is to be constructed using two distinct

Consider a unique cylindrical vessel with an uncovered upper surface, designed for a specialized industrial process. This vessel is to be constructed using two distinct materials: a high

-

grade copper alloy for the base and stainless steel for the lateral surface. The cost ratio between these materials is

1

5,

with the base material being the more expensive option. The vessel must have a precise internal capacity of

5

3 .

Please determine the most economical dimensions

(

radius and height

)

for the vessel.

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