1. Consider a conical tank of maximum radius R at a maximum liquid depth H. Liquid flows into the tank at a volumetric flow rate of Fo and leaves at a volumetric flow rate of F1 (see the figure below). Flow through the outlet valve has linear flow characteristics given by F₁ = C₁h, where his the level in the tank and Cy is the valve coefficient. Fo H 1 R Assume the liquid density remains constant. Derive a model for estimating the level in the conical tank. State the initial condition 1 3 Note: the volume of the conical tank is: V = th tan’Đ. 3