How to visualize a volumetric sphere using color gradients?

Hi all,

I'm trying to achieve the effect of a volumetric sphere, but with gradient colors, not flat colors. I mean, instead of something like this:

I'd need the same volumetric sphere but coloured with a gradient of different colors. I have an array of 3d points (with colors assigned to each of them) that form an sphere, and I need to obtain the corresponding volumetric sphere. Something similar to the following effect, but with a form of sphere :).

Would you know how to do this? Any shader or package that allows it? Cheers and thank you in advance!