Home » Blog » Find the depth of water in a leaky tank as time goes to infinity

Find the depth of water in a leaky tank as time goes to infinity

Consider a water tank with vertical sides and with cross-section a square of area 4 feet. Water exits the tank through a hole which as area equal to \frac{5}{3} square inches, and water is added to the tank at a rate of 100 cubic inches per second. Show that the water level approaches the value of \left( \frac{25}{24} \right)^2 feet above the hole no matter what the initial water level was.


Incomplete.

Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment):