Predicting the Working Temperature of the Light Bulb's Filament

What is the temperature of light bulb?
(by Daniel Lee and Shin Lee)

There is a relationship between the resistance of the material and its temperature.
We call this Temperature-resistance relation of the material.
For metal, the resistance increases when its temperature rises.
It can be indicated as follows;

R=R0(1+αT)

It says if we know the resistance, we can calculate the temperature of the wire.
Similarly, if we know the (temperature of the wire), we can calculate the (resistence) of the material.

Alpha=temperature resistance coefficient
0.0039 for most metal

1)What is the room resistance of the bulb (4.2)ohm
2)What is the room temperature? (25)oC
3)Then, what is the Ro from the above equation? (4.057 )

Turn on the cold small lightbulb using the batteries and aligator clips for about a couple of minutes.
Then read the current using the DMM(Digital Multi-Meter) as shown below:

From the previous lab journal, The DMM(Digital Multi-Meter) is a Stethoscope for Electric Circuit, we can get the values below.

1)resistance of the hot bulb? (108.47ohm)
2)the temperature of the hot bulb?
108.47=4.057(1+0.0039T)
0.0039T=108.47-4.057=104.413
Therefore, T=104.413/0.0039=26772.5641 Degrees Celcius=27045 Kelvin.

It is well known that the sun's temperature is 5777 Kelvin.
The sun, obviously, is the hottest thing that exists in our solar system.

Is this calculation right?