My Math Forum Surface of a ball built up from smaller balls

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 September 29th, 2013, 03:01 AM #1 Member   Joined: Sep 2012 Posts: 61 Thanks: 0 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.
 September 29th, 2013, 07:27 AM #2 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 Re: Surface of a ball built up from smaller balls
 September 30th, 2013, 06:17 AM #3 Member   Joined: Sep 2012 Posts: 61 Thanks: 0 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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