A tank in the form of a right-circular cylinder of radius 2 feet and height 10 feet is s...

A tank in the form of a right-circular cylinder of radius 2 feet and height 10 feet is standing on end. If the tank is initially full of water and water leaks from a circular hole of radius inch at its bottom, determine a differential equation for the height h of the water at time t. Ignore friction and contraction of water at the hole.