Aside from being correct per the formal/technical rules of verbs and sentence construction, part of good writing is simply to consider how words/phrases/sentences "sound" when read (either aloud or silently). Hence, the subject matter and context of a sentence (especially if it is part of a larger composition) also should be considered.
For example, it sounds very stilted to say "the drinking of the Coke," when referring to something as routine or mundane as ingesting soda pop. But it may sound perfectly fine to say "the partaking of the Host" when describing the Eucharist ritual (Holy Communion) that is routinely performed during a Catholic mass. In terms of context, I think that because the latter action itself is more stilted -- as a rite performed by an ordained priest in a religious ceremony that has endured (with some modifications) for many centuries -- the stilted language sounds less out of place or out of context.
I hope this helps explain a) how a writer can create meaning with both words AND sentence structure, and b) why just being technically correct may not always serve an author's purpose.