Playing with bottles!

Classical Mechanics Level pending

Two bottles of same material are in cylindrical shape and have same height. The bottle A has a radius of 5 cm while the bottle B has a radius of 10 cm. Both the bottles are pressurized with different gas and pressure when they rupture are noted. If \(P(A) \) be pressure in bottle A and \(P(B)\) be pressure inside bottle B. what is \(\dfrac{ P(A)}{P(B)} \).

Details and Assumptions:

The surrounding is fully evacuated, gases are ideal, conditions are assumed to be ideal.

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