please shwo all steps and equation used to solve this problem.$(30$ points$)$ A one liter cylinder $($with a diameter of $5cm),$ filled with water, has a $3mm$ diameter

hole in the bottom. The velocity of the water coming out of the hole is equal to sqrt$(2$gh$)$ where

$h$ is the height of fluid remaining in the cylinder. A$)$ Determine the velocity of the fluid leaving the

cylinder, B$)$ determine the velocity of the fluid in the cylinder.

$!$ with water coming out