A right circular cone containing some water, shown resting on its circular base and also upside down.


A container is shaped like a straight circular cone. Suppose its height is H\displaystyle {H} and the radius of its base is R\displaystyle {R}. This container contains as much water so that when it is resting on its circular base, the water level is exactly 50%\displaystyle {50}\% of H\displaystyle {H}. What happens to the water level if the container is turned upside down? Express the new height as a percentage of H\displaystyle {H}, rounded to three decimal places.

New water level: % of H\displaystyle {H}