Most of the Sky is Below You - A Mathematical Analysis Using Calculus and Geometry

Explore a fascinating 23-minute mathematical investigation that challenges the common perception of the sky's location. Learn how circular segments, trigonometry, volumes of solids of revolution, and calculus demonstrate that most of the atmosphere actually exists below our horizon rather than above. Progress through calculations for both flat and spherical Earth models, culminating in a surprising revelation about the true distribution of our atmosphere. Master complex mathematical concepts while discovering why our intuitive understanding of the sky's position needs revision.