Difficult# Water Fountains Height Ranking

APPH12-X9HK2O

Four water fountains are in a garden and shoot water straight up into the air. Each is supplied with water from a separate hose; however, the velocity of the water in each pipe is 5 m/s.

Fountain A has the diameter of the pipe measured as $3.50\text{ cm}$ and the diameter for the nozzle measured as $0.90\text{ cm}$.

Fountain B has the diameter of the pipe measured as $3.00\text{ cm}$ and the diameter of the nozzle measured as $1.40\text{ cm}$.

Fountain C has the diameter of the pipe measured as $2.00\text{ cm}$ and the diameter of the nozzle measured as $0.80\text{ cm}$.

Fountain D has the diameter of the pipe measured as $2.50\text{ cm}$ and the diameter of the nozzle measured as $1.00\text{ cm}$.

Which is the correct ranking of the height of the water from highest to lowest?