Can a Muslim girl become a prima ballerina?

So I've been thinking about this a lot; Muslim women are typically not supposed to expose any skin, therefore they wear burkas. With that being said, would a Muslim girl be able to become a ballerina? I mean tutus and leotards are kind of revealing, but they're supposed to be (so then instructors can watch muscle movement to make sure one is dancing correctly.) I've read things that said Muslims aren't allowed to dance in a provocative manner or even dance at all. But classical ballet isn't even provocative.