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It is not true that "Your tank actually holds 15L of gas what ever the pressure"....A 15L tank is measured to hold 15L of water (or 15L of gas at 1bar)....at 200bar a 15L tank holds 3000L of gas (air).
No. It's still 15L. At 200 bar. Which becomes approximately¹ 3000L at 1 bar. If you had said "3000 surface liters" or "3000 bar·L", I would've agreed with you.
¹ "Approximately" because only an ideal gas would behave exactly like that. Now, for our purposes air is close enough to ideal gas behavior at pressures up to a little above 200 bar, so we usually don't bother with non-ideality for those pressures. It does become an issue as you pass 240-250 bar, though, and a 300 bar tank holds about 10% less air than nominally. So a 10L 300 bar tank holds only about 2700-2800 surface liters.