That's still in the news section in fact.
The Antarctic ice cap is continental - it's on land. If it all melted, mean ocean level would rise about 16 feet.
This is not sufficient to cause a Biblical flood.
You might also consider the following:
If the great flood covered everything, why was Mount Ararat the first thing to appear as the water drained? Its peak is by no means the highest point on Earth.
Answer: Because the flood was a story put together by fallible humans, probably from various accounts of several floods, and the friendly local Mount Ararat was the biggest thing they knew of.