Science is reliable because it is open to being corrected by new evidence. No theory is ever final; ideas are constantly tested, revised or discarded based on critical examination and updated empirical observations.
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We take about 20,000 breaths daily. Each breath is roughly 0.5 litres. Multiplying these gives an estimate of 10,000 litres of air breathed in one day, which is a reasonable, approximate and useful figure.
Weather systems are incredibly complex and chaotic. Forecasts rely on models with limited data. Even small initial errors can amplify over time, making exact long-term predictions difficult despite our sophisticated, modern technological capabilities.