MrW: That is the battery that I use for my build. When I used my KK2.0 version 1.6 flight control board, my build weighed in at approximately 1500 grams AUW with 9X4.7" props, 1000kV motors, and 30A ESC's and with that battery I got ~8 minutes of mixed flight flighttimes.
Now with a NAZA M-Lite/GPS FC and with an AUW of +1850 grams, same motors and ESC's, and with 10X4.7" props I am getting ~5 minutes of active/mixed flight flighttimes with that battery.
I briefly looked at the build link that you referenced. They are recommending a 3S 3000mAh battery and 9X4.7" props.
eCalc is a performance predicting program that is fairly accurate and can give a builder an idea of flight performance and payload capacity based on the different components input into the eCalc program. It used to be free, but a subscription is pretty reasonable in cost. Playing around with different component mixes can give one an idea of how performance can change with different components.