Will an S3 steering wheel fit my A4 B8 2008

[Math]

Hey guys. I was wondering if an steering wheel from a newer S3 will fit my Audi A4 B8? 

Im a little tired of my own steering wheel and id like a new look, granted the buttons will be useless. Ive found a flatbottom steering wheel but id like if its going to fit before buying it

[Steve Q]

I've done a guide on this: