2025 YCKSS PRELIMS P1 Q26

An inverted cone has base radius 6 cm and height 14 cm. It contains water to a depth of 7 cm. The cone is then turned upright and the empty conical height is h cm.

1. Find, in terms of π, the capacity of the cone.[1]
2. Find, in terms of π, the volume of water.[2]
3. Find \(h\).[2]