Stefan-Boltzmann's Law. How to apply to the Sun

[PMNIMG]

Homework Statement

Use the Stefan-Boltzmann's Law and calculate Sun's radius.
T☉=5772K
L☉= 3.828×10^(26) W

Relevant Equations

E=σT^4
L=4πr^2*σT^4
r=(L/4π*σT^4)^(1/2)

r^2=(3.828*10^(26))/(4π*σ(5772)^4)
It's diffrent from what I know...

 

[haruspex]

Homework Statement: Use the Stefan-Boltzmann's Law and calculate Sun's radius.
T☉=5772K
L☉= 3.828×10^(26) W
Relevant Equations: E=σT^4
L=4πr^2*σT^4
r=(L/4π*σT^4)^(1/2)

r=(3.828*10^(26))/(4π*σ(5772)^4)
It's diffrent from what I know...

Did you mean $r^2=…$?
Other than that, what is stopping you?

 

[PMNIMG]

Did you mean $r^2=…$?
Other than that, what is stopping you?

Oh, sorry. I modified it now.
From what I know, the radius of the sun is 696340000m. It is diffrent from the solution...
And I don't know what seems to be the problem.

 

[OmCheeto]

According to NASA, the suns diameter is 695,700,000 meters, which according to your maths is accurate to 4 decimal places. So I also don't know what the problem is, as there doesn't appear to be one. Even the number you display as the given radius is off by less than 1/10 of 1 percent.

 

[PMNIMG]

can you show me how to calculate?
I think it's diffrent from mine...

 

[haruspex]

can you show me how to calculate?
I think it's diffrent from mine...

@OmCheeto did not (I think) do any calculation other than to find the % difference.
Your result agrees pretty well with NASA's. What is the given solution?

 

[PMNIMG]

Oh, I think I miscalculated...
sorry I disturbed you all with dumb question...
I think I put km instead of m...

 

[haruspex]

Oh, I think I miscalculated...
sorry I disturbed you all with dumb question...
I think I put km instead of m...

No problem.

 

[PMNIMG]

I do that sometimes...
If you can't find anything odd about my qusetion, please tell me reason!
sorry