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The higher the ratio, the faster the rate of diffusion
It would help if the question was less obscure. What do you mean by "work"? How the surface area affects chemical processes (for example the surface area of catalysts), or diffusion, or surface areas and friction?
the larger the surface area you have, to more heat that you are going to lose.
The total surface area increases.
The volume will be halved and the surface area will be halved but with the base area of pi*radius2 added to it