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September 29th, 2013, 03:01 AM   #1
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Surface of a ball built up from smaller balls

The average diameter of a ball-like nano-particle is 3nm. This particle is composed of smaller ball-like particles which have the radius of 0.144nm. What percentage of the total number of the smaller particles is located on the surface of the nano-particle?

So, there is a big ball composed of closely packed smaller balls. How to solve this? I know the method where I calculate the surface of the nano-particle and assume that this surface is equal to the sum of the surfaces of n small particles, but this is pretty inaccurate. I need a more precise method.
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September 29th, 2013, 07:27 AM   #2
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Re: Surface of a ball built up from smaller balls

https://www.google.ca/?gws_rd=cr&ei=vkZ ... re+packing
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September 30th, 2013, 06:17 AM   #3
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Re: Surface of a ball built up from smaller balls

What is the formula used for the specific case I wrote?
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