Calculating the surface area of a sphere
Posted May 2, 2020, 8:00 PM UTC
91624
Yessssssssssss
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4 × π × R2
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Wazzat
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They need to present this to kids in math class.
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They really do
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Ah yes. Perfectly clear now
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That's kinda cool
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Maybe I’m wrong but isn’t the area what’s on the interior? Wouldn’t this be the perimeter of a sphere, might not even be a thing.
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The space in the interior is the volume. Area is the full surface. Spheres dont have perimeters, a 2d circle's edge would be its perimeter.
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Holy damn, how did I just have that much of a mental block. That’s actually concerning and thank you lol
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2D = Perimeter, 3D = Surface Area
2D = Area, 3D = Volume
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No it's surface area is the area of its surface.
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The perimeter of a 3d object is the surface area. Internal Area for a 3d object is called volume
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where were these when i was in school? lol
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Is that what I was doing?
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Ain't Nobody Got Time For That!
https://www.calculatorsoup.com/calculators/geometry-solids/sphere.php
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The people that made those links had time for that!
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A little nitpicky but if I didn't know this I'd find it interesting: this way of computing integrals doesn't actually work, look up Gauss' theorema egregium which says you can't squash a sphere on a plane without stirring it (not even cutting a line out of it)
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Things like this makes me realise how stupid I really am.
Here’s another way of looking at this
What you are seeing is the completed results presented in an amazingly slick way which took hours to create or at least least 100 times as long as the clip. The people that created this may or may not have done the derivation
Someone originally thought that derivation through because they wanted it badly enough. They likely iterated in their mind or paper many different permutations and dead ends. The truly brilliant probably didn’t do many but would be real skeptical of a once through without any pause
There are so many things you can figure out and the strongest asset is persistence, drive comes from the intense curiosity. Einstein was a smart guy , like iq160 but he himself considered his curiosity the greatest strength. That’s one I struggle with. Who sits as Swiss patent clerk and figures out that the faster the velocity, time slows, length contracts and mass increases right?!?
Think about something you really love and are interested, how fluent with anyone are you around that? That’s where your curiosity and persistence will show you what you can do.
Those among us who are very curious and persistent begin to establish a very broad base of knowledge and can connect concepts in abstract ways across seemingly unrelated ideas.
I'am a very curious person I would say, the thing that sparks my interest the most though is not maths or science to a large degree but machines and how things work. Love to take things apart or look at technical drawings and diagrams and work out how things operate and how to fix them when they go wrong or how to improve their workings.
Nice and I bet you’ve held your own in conversations with others who feel same
I never expected a long random motivational comment here lol
Neither did I
Am self deprecating in my abilities sometimes when not getting something. Work with so many people who have taught me the importance of perspective, feels like a tiny bit rubbed off