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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 balllike nanoparticle is 3nm. This particle is composed of smaller balllike 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 nanoparticle? 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 nanoparticle 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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