Domes constructed as permanent homes with traditional materials and techniques are in a totally different category from what you are considering, which is really just a tent.
Living in a tent comes with a whole set of problems such as how to get inside plumbing, running water, and electricity, especially if you are in a location where code compliance is a consideration.
Of course if you just want to get out of your parents house you could set up your dome tent in their backyard, use their toilet and shower, and run an extension cord from their house for electricity. If you want to listen to the stereo, use the computer, or watch TV you can sneak back inside when they are asleep or not at home.
This will only work for so long because, inevitably, some nosey neighbor will turn you in to the authorities because its illegal to live that way.