Find height of ball under water beam

[Huumah]

Homework Statement

The 250 g ball is supported by the vertical beam of fresh water which issues from the 12 mm diameter nozzle with a velocity of 10 m/s. Calculate the height h of the ball above the nozzle. Assume the stream remains intact and there is no energy lost in the jet stream


2. The attempt at a solution

I don't have answers to the problem, I'm just wondering if I did it right?

 

[Angry Citizen]

How do you have the sum of the forces equal to the potential energy? Basic dimensional analysis would show that your answer is wrong.