Why does the bottom of a bottle filled with liquid break when the cork is hit?

(N/A) When the cork of area $a$ is hit with a force $F$,it exerts a pressure $P = \frac{F}{a}$ on the liquid. According to Pascal's law,this pressure is transmitted equally and undiminished throughout the entire liquid. Since the area of the bottom of the bottle $A$ is much larger than the area of the cork $a$,the force exerted on the bottom is $F_{bottom} = P \times A$. Because $A \gg a$,the resulting force $F_{bottom}$ is significantly large,which causes the bottom of the bottle to break.