Volume Fraction of a Polymer

I have a tutorial question that I'm not too sure of.

The question states:

Calculate the volume fraction Φ for a polymer solution of concentration C (given in g/L) and hydrodynamic radius R?

The answer was given as
https://s.yimg.com/hd/answers/i/f9b738ccf1bf42f38089e06bf1e8035f_A.jpeg?a=answers&mr=0&x=1433625143&s=43c9115d1b188fb3b3e983b9eb00f179 [Broken]

Could someone explain how V total was gotten?

Am I right in assuming the Volume of Polymer would be the volume of a the sphere multiplied by the number of polymers?

[Could this be a potential error in the solutions? In my notebook I have (C / NM)*sphere Volume]

 
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