The master cylinder diameter in a Cessna and many others is a hair over a half-inch. Nowhere near an inch, not even 5/8". It uses a 9/16" O-ring that gets squeezed some as the piston goes in.
Medium pressure hose used in light aircraft brake systems is rated for 3000 PSI. I have overhauled master cylinders and rebuilt hose assemblies. Those assemblies get tested at 200% of rated pressure. Their burst pressure is four times the rated operating pressure, or 12,000 PSI for that small hose.
The pressure in a light aircraft brake system can easily hit 600 PSI and a really hard brake could easily hit 800 or more. The pedal geometry magnifies the force the pilot applies at the top of the pedal. It takes serious pressure on that caliper to generate the friction to stop several thousand pounds of airplane.
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Facts, not assumptions, are what matter.