Pros: Holds heat long, even cooking
Cons: Price, can be hard to clean, slow to boil
Out of all my pots and pans, this one I find I use the most.
It is a great for a number of different things, from roasting bones for stock, to deep frying to making soups and stews.
I like to cooking in big batches and find this size perfect.
The walls are really think, which allows for very even cooking, and deglazes well when doing meats.
The copper core is nice (a layer of copper in between 2 layers of steel & aluminum), and ensures even heating and is excellent for heat retention. If I ever need to store left overs, I need to take it out of the pot to cool. And you don't have all the cleaning required for copper pots.
The walls are tall, which is good for deep frying.
The cons are you do need to scrub it sometimes really good with SOS pads or Barkeepers friend to get it really clean. Its expensive. And if your just trying to bring something to a boil, like water, then it will take longer than in a pot with thinner metal.