3. (30 pts) There is a small explosion at a chemical plant. Shrapnel from the explosion blows two holes in a vented 55 gal drum. The drum is lled with fuel oil (p=1010 kgi'm3, u=0.38 (N*s)fm2). As an environmental health and safety engineer you are asked to calculate how long the drums will leak. Hole positions are measured from the bottom of the tank to the bottom edge of the 2 holes. The drum has a 1 cm diameter hole 10 cm I above the bottom of the tank, and a 1 cm diameter hole 50 cm above the bottom of the tank, as shown on the right. 83 cm a. (6 pts) Write a continuity equation to describe the draining tank. Please simplify your variables as far as possible. b. (2 pts) Write a steady state expressions for the velocity of the fuel oil out of hole 1. c. (2 pts) Write a steady state expressions for the velocity of the fuel oil out of hole 2. d. (5 pts) Develop an ODE that describes the quasi-steady state draining from both holes. e. (10 pts} Calculate the time it takes to completely drain the tank