5-month résumé gap, advice? - 15 weeks in

I took time out to care for a family member after working as a project coordinator. I would rather hear the honest version than the polite one. I have done some volunteering and a course during that time. Did anyone get past it?

I listed the volunteering and course under the same dates and kept the explanation to a sentence in the cover letter.

I was hired after a 5-month gap. The manager said the skills test mattered more than the dates.