The third parameter in the read is the maximum characters to attempt to read.
You could simply try setting your array size to a value much bigger than your would ever expect for contentLength.
But I also think you'd want to do your reads within a while loop (checking for end of stream). If you do this, you need to manage the size of each read to ensure you don't exceed your array.
Try this ....
int currentArrayPos = 0;
int count = 0;
//then, change the max char parameter in your read ....
while ((count = br.read(buf, 0, contentLength - currentArrayPos) != -1 ) {; //***HERE'S THE PROBLEM!!
// and limit the size of each read
currentArrayPos = currentArrayPos + count
}