[paul.fr]

Listening to the radio over the internet, i had need to unplug my router. The strangest thing happened, I could still hear the radio for 24 seconds after the connection was lost. I tried again, same thing. I then tried to load a web page during that time and nothing, just the blank page.

So why can I still hear the radio?

[Pumblechook]

Data must be held in a buffer and/or if you killed the power to the router it was running on charged capacitors for some seconds. 

[DoctorBeaver]

Yes, data is buffered and the more RAM you have, the more data is buffered. It's the same with video streaming.

[neilep]

Could it be that the radio station is actually inside your computer ?......open it up and check it out....

...it probably takes them a few seconds to realise you have unplugged the router before they need to make you think the radio is via the net.

yes...yes..I am sure this is true.

[JimBob]

It is elves, plain and simple.