Adding, subtracting- who cares?! Well, mix in a little Vaughn and a little Sydney and what do you have- a math period you may actually enjoy.

When Sydney plants the bomb on the circumference, we can use her height to figure out the supporting arm was about 25 feet tall.






From this, we can figure that the ball of water must not have been more than 50 feet in width. With a radius of 25 feet, the ball held 65449 cubic feet of water. Yes, that's a lot, but now, let's figure the width of the room the circumference is in.

If the room has a depth and width of 100 feet (that's a very conservative assumption), that is 10,000 feet squared. Here we see the height of the door the water goes through.

Let's say the door is 8 feet tall (could be 9). For there to be enough pressure to cause a tidal wave, the laboratory must fill up above the door. So, if it fills just 1 foot above the door, that's 9 feet of water in a room 100x100, or 90,000 cubic feet of water. This is already more water than figured in a 50 foot wide balloon. For there to be 90,000 cubic feet of water, the balloon would have to be 55 feet wide. Not a long stretch, so let's say there was enough to flood the room that the tidal wave originates in. Now, how much water would be needed to fill the hallways? While running down the first hallway, there are 5 (maybe 6 lights).

It takes her a full 3-4 strides at a full run to make it from one light to the next. They turn the corner and there are 5 more lights.

At a walk, my strides are 3 feet long. At a full run, they are at about 4.5 feet. Assuming Sydney's strides are shorter, they could be anywhere from 4-5 feet long. Erring on the side of the conservative figure, let's say 4 foot strides, 5 lights in the first hallway and 5 in the second. That's a full 80-100 feet in each hallway. The hallways are probably 6 feet wide (or so it appeared) and 10 feet high. 90 x 10 x 6 = approximately 5500 cubic feet. To keep the sort of pressure necessary, we would have to add a lot more than 11,000 cubic feet more than the 90,000 estimated earlier. The baloon would have had to be more than 70 feet wide - that's 7 stories high - there's no way that the ball was that large, and even if it were, the level of the water would quickly even out after it hit the door through which Sydney watched Vaughn supposedly drown. Therefore, Vaughn must be alive.

Math problem thank you to Blake... at the SD-1 Forums.