# Flipping a Cone

**Geometry**Level 3

A right circular cone with a height of \(100\text{ centimeters}\) is filled with water \(\dfrac{1}{4}\) of the way up from its apex to a depth \(d_1\) of \(25\text{ centimeters}\). If you then put a lid on the cone and flip it over, what is the approximate new depth \(d_2\) of the water?