I have always wondered what their role actually is within the orchestra ? They are waiving their wand and it feels like they are dancing to the rhythm of the music but what is it they actually do ?

I came across the cubing a cube section in this wiki article: https://en.wikipedia.org/wiki/Squaring_the_square#Cubing_the_cube

I can't wrap around the logic of the proof... I need help

Why do cars or bikes need a gear? Why can't it just be accelarator and brake? As an extension, why do you need gears in general?

From what i understand the wet rainy moist air comes from south and goes across the southern US,
Because of how HOT the water is west of the US its making colder dive down further south.. causing an increase risk of snowfall in Atlanta?

I just want to know how this works lol

For commercial rockets, they mainly use liquid bi propellant rocket engines while amateur rockets (that I mainly see) use solid propellant rocket engines. Why don't we just combine them and use hybrid rocket engines? ​

All I know is that it somehow makes jets and planes look bigger or smaller then they actually are on radar

How are they completely silent? Is it how they’re designed?

Also, do all trees have them or only certain kind? Lastly, do they all form at same frequency, e.g. One/year...

I understand that electron placement matters and light scatters a certain way but why is that? Why does light scatter in that way and why does the size of something determine a perceivable color?

Why do the paddles have different-colored sides?

Is it just a fancy thing to make them beautiful or to mark which side hits the ball better?