(Step-by-Step) A mothball is in the shape of a sphere and starts with radius 1 ~cm. The material in the mothball evaporates at a rate proportional to the surface


Question: A mothball is in the shape of a sphere and starts with radius \(1 \mathrm{~cm}\). The material in the mothball evaporates at a rate proportional to the surface area. After one month, the radius is \(0.5 \mathrm{~cm}\). How many months (from the start) is it before the radius is \(0.2 \mathrm{~cm}\) ?

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