A cylindrical centrifuge of radius 1m and height 2m is filled with water to a depth of 1m. As the centrifuge accelerates, the water level rises along the wall and drops in the center. (a) Find an equation of the parabola when the water level rises in terms of h, the depth of water at its lowest point (the lowest point on the parabola). I don't really know where to go with this. It seems that both sides of the container will be filled with an equal amount of water when the parabola is formed, but I'm just not seeing any connections with how to actually come to an equation. If anyone has any insight it'd be highly appreciated. Thanks for the help, everyone!