An open cylindrical tank whose base is a...

An open cylindrical tank whose base is a circle is to be constructed of metal sheet so as to contain a volume of `pi a^3 cu.cm` of water.Find the dimensions so that the quantity of metal sheet required is a minimum.

Radius=2a cm, Height =2a cm

Radius =2a cm, Height=a cm

Radius =a cm, Height =a cm

Radius = acm, Height = 2a cm

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