Proof of surface area of ​​a sphere?

ByUser123971

Hello everyone, how can I prove the formula for the surface area of ​​a sphere (visually)?

I look forward to clear explanations and thank you in advance for your help!

2 votes, average: 2.00 out of 1 (2 rating, 2 votes, rated)
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Tannibi
Tannibi
4 months ago

You take a circle with radius 0 and integrate that
Circumferences of all circles from radius 0 to radius R over r.
Then you have the surface of a hemisphere, which you
then multiply by 2.

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Flip27
Flip27
4 months ago

I haven't watched it myself yet, but I know that this YouTuber creates very high-quality content and always provides clear answers. He even made a video for the surface area of ​​a sphere. I highly recommend it.

PS: It's English.

https://youtu.be/GNcFjFmqEc8?si=ByO0YQKDpj8Y5OgK

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PMeindl
PMeindl
4 months ago

Integrating a narrow piece of the surface area. Take a hemisphere and divide the surface area into triangles with the vertex in the center of the hemisphere, then integrate over the circumference at the bottom edge.

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