A sphere is reconstituted into n identical smaller spheres, keeping the total volume constant.
Let a be the ratio of the total surface area of the smaller spheres to the surface area of the original sphere.
Let b be the ratio of the radius of the original sphere to the radius of each of the smaller spheres.
Let c be the ratio of the volume of the original sphere to the volume of each of the smaller spheres.
What is the minimum integer value of a+b+c?
The required minimum integer value of a+b+c is 12.
Edited on July 25, 2022, 3:47 am
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