Tivoli gardens is the second oldest amusement part in the world. My hostel is very near to the place so I have a chance to visit there every evening when I was in Copenhagen. It is also where my friend bought for me a Fedora hat for my birthday as an early gift :)
You might be disappointed with the ice cream because it was not tasty at all. And what's about the price? Everything is expensive in Denmark.
Wagamama noodles