I would add that before you do what Booli suggests, put about a cup of dry rice inside it, cover the sound hole, and give it a really thorough shaking. Then dump/vacuum the rice out. If you like you can wear the pantyhose while you do so.
What Scooter said ^. Giving credit where it is due, Scooter was the kind soul that educated me about the rice. Frank Ford is no joke, so heeding the procedure on that link is likely to work out well.Frank Ford is one of the most respected repair people in the world. This is from his massive site frets.com It demonstrates the technique with a guitar, but the method works just as well on a Uke.
There was a time when I used to wear both makeup AND pantyhose. Both highly over-rated.
Knock yourselves out, gentlemen!