Projection Vs. Volume

Shouting and projecting feel similar from the inside, but they use completely different machinery. Shouting forces extra air through tense vocal folds at high pressure.

Think of a bullhorn next to a cathedral bell. The bullhorn is pure force: loud at the source, but the sound stays small and dies fast. The bell barely moves, yet its tone fills a city block, because the vibration is amplified by the whole body of the bell. Your voice can work either way: force, or resonance.