This is a REALLY old thread, but it was still the first thing to pop up when I googled the issue. So I just wanted to add this:
InputStream inputStream = conn.getInputStream();
int length = inputStream.available();
Worked for me. And MUCH simpler than the other answers here.
Warning This solution does not provide reliable results regarding the total size of a stream. Except from the JavaDoc:
Note that while some implementations of {@code InputStream} will return
* the total number of bytes in the stream, many will not.