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a ball is a formal dance
Yes, a "ball" is an elegant dance party, as in President Barrack Obama's "Inaugural Ball," or "Black and White Ball," or "Grand Ball," etc.
The homonym for a round object and a formal dance is "ball." It can refer to both a spherical shape and a social gathering for dancing.
To dance = tanssia
One dance = tanssi
A dance (a ball where you go to dance) = tanssiaiset
No. See, You dance to KICK the soccer ball. Not to DANCE. But can you??? I don't think so.