SPHERE AREA (DISCLAIMER: IT MIGHT NOT BE FINAL)

But you may submit an objection. 👌

Okay you say the pole's area equals pi.

No, I don't.

I'm not saying what it should be until you attempt to justify your BS.

Again, you say it is 1.9939.
WHY?
Don't just throw out numbers, JUSTIFY THEM!

Diameter = Phew/2 AKA 1.5857864.
Pole Area = (Phew/2)˛×Ratio = 1.5857863˛ × 0.7928932 = 1.9939032

For convetional formula: round radius˛ × Phew = 0.7928932˛ × 3.1715729 = 1.9939032

For Pi it's 1.93789. Is that right, Jack?
Too bad, this figure cannot make number wonder.
For example: if you figure out the area of 1/8' you cannot make four segments by comparion: 1 +1 +1 + 0.14159 (total = Pi)
In that 1/8 sphere's area, Phew shows the calculation perfectly, i.e. 0.498476 + 0.498476 + 0.498476 + 0.085524 = 1.580952.
And the number 1.580952 is derivative of 1.993903 AKA 1.9938032 × 0.7928932 = 1.580952.

So sphere calculation, as much as other circle calculations is a game of ratio 0.7928932.

Why not 1/8 sphere equals Phew/2 AKA 1.5857864? (You call it 1.57079)
As mentioned above: 1.580952 is the number resulted from one of 2×2 cube area. Time it by 0.7928932⁴, you got 1.580952.
What makes 1.580952 convincing, besides its ratio 0.7928932 method, is, it fulfills the area segments comparison which in line with 1 + 1 + 1 + 0.1715729 AKA 3.1715729 AKA Phew.

And Last but not least, there is magic number 0.996951 behind 1.580952, i.e. 1.580952 equals 0.996951 × Phew/2 AKA 1.5857864.

It's similar to volume of sphere 3.9878 : 4 AKA 1/2 Cube (r=1).

Can Pi do the same? 🤔

Note:
Since 1/8 sphere = 1/4 half sphere, so 0.498476 is 1/4 of the pole area AKA 1/4 × 1.9939032 = 0.498476

In one version of sphere area, I've show the origin of sphere area, i.e. for half sphere you need 2 Phew × 1/2 Phew. Both length are rounded by 0.7928932 each, so the area of sphere equals 2 Phew × 1/2 Phew × 0.7928832˛ = 6.34313 × 1.5857864 × 0.7928832˛ = 6.3238.
Full sphere Area = 6.3238 × 2 =  12.6476

Diameter = Phew/2 AKA 1.5857864.
Pole Area = (Phew/2)˛×Ratio = 1.5857863˛ × 0.7928932 = 1.9939032

For convetional formula: round radius˛ × Phew = 0.7928932˛ × 3.1715729 = 1.9939032

I didn't say to spam a bunch of numbers.
I said to justify them.
Can you do that?

For Pi it's 1.93789. Is that right, Jack?

We are dealing with your nonsense first. Then we can move on.

Too bad, this figure cannot make number wonder.
For example: if you figure out the area of 1/8' you cannot make four segments by comparion: 1 +1 +1 + 0.14159 (total = Pi)
In that 1/8 sphere's area, Phew shows the calculation perfectly, i.e. 0.498476 + 0.498476 + 0.498476 + 0.085524 = 1.580952.
And the number 1.580952 is derivative of 1.993903 AKA 1.9938032 × 0.7928932 = 1.580952.

And yet again, you are just throwing out numbers with no justification at all.

Why not 1/8 sphere equals Phew/2

Why should it?

Why shouoldn't it equal e? Why shouldn't it equal phi?
Why shouldn't it equal any other random number someone picks?

As mentioned above: 1.580952 is the number resulted from one of 2×2 cube area. Time it by 0.7928932⁴, you got 1.580952.

And why shouold you multiply it by that?

What makes 1.580952 convincing, besides its ratio 0.7928932 method, is, it fulfills the area segments comparison which in line with 1 + 1 + 1 + 0.1715729 AKA 3.1715729 AKA Phew.

That is not convincing to anyone with a basic understanding of math.
You are throwing out a bunch of numbers and pretending it should mean something.

If you want it to be convincing, you would make a proof that it is that, using the geometry of the situation, rather than just throwing out numbers.

Can Pi do the same? 🤔

Pi can do better, and actually show the proof of what it should be. But that comes after you justify your BS or admit it is pure BS.

In one version of sphere area, I've show the origin of sphere area

No, you haven't.
You have thrown out a bunch of numbers with no justification at all.

You are still nervous, Jack ~

You are still nervous, Jack ~

You are the one who can't answer any questions. 

https://phys.org/news/2024-06-physicists.html



Pi is still pi

You are still nervous, Jack ~

No, I'm still happily waiting for you try justifying your numbers rather than just throwing them out and expecting them to work and expecting people to beleive them.

But I'm used to this. Of course your numbers can't work. And you reject all the principles that would be used to show numbers working, without any rational objection to it, and ignoring the refuations of your attempts to dispute them.

So do you have a justification? If not, can you admit you don't?

Other than both poles, you confuse between √2 × 2pi area vs (less than √2) x 2pi

Even new born baby can differ between smaller radius vs bigger radius.

What about you???   

So area of sphere must be less than 4pi, or in my point of view: less than 4phew.

Other than both poles, you confuse

No, I'm not confused at all.

I'm still waiting for YOU to provide an answer, with a justification, which you still haven't done.

So area of sphere must be less than 4pi

Why?
Yet again you just assert crap with no justification at all

I am thoroughly confused