i've got a warehouse composed from a cylinder and a roof with the shape of 1/2 sphere and a total volume (i think , it wasn't specified ) V=5*10^5 m^3 , i have to find the height H and radius R of the reservoir given a minimum cost of production for the cylinder of 8000 (currency)/m^2 ,and for the spheric part the cost is double of the cylinder part .
Mathematically speaking it's impossible to find either R or H or both with just the volume given . i think i'm either missing one of the variables R or H and the exercise is impossible or i have to use the production cost somehow but i don't know how .
Opinions ? is it possible ? Impossible ? if possible how ?
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