Great job to Christoper this week, who was $12$ grams away from the actual answer!
The idea of thinking of the bottle as a cylinder and a cone was a good one. In fact the volume of the full bottle (measured by pouring the bottle out) was around $1400$ mL. It is correct to say $1$ mL of water weighs approximately $1$ gram, so the water inside the bottle weighted about $1400$ grams. The bottle itself was a little heavier than Christopher estimated, weighing in at roughly $75$ grams.
The actual weight was $1474$ grams as seen in the attached image below: