Answer: The banana tree would require a greenhouse situation to overwinter in active growth and stay healthy, although you could experiment and see how it does for you. Without knowing which specific variety of banana it is, it is a little difficult to give you a specific size range. Musa basjoo, the "hardy" banana can grow to about ten feet tall when planted in the ground. Dwarf Cavendish, a popular dwarf banana variety, grows about seven feet tall. But with sizes, there is always a range depending on the growing conditions so yours could be smaller or a little larger. I hope this helps.
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