A cylindrical tank with a radius of 3 meters is filled with water to a height of 5 meters. If the water is drained at a rate of 2 cubic meters per minute, how long will it take to completely empty the tank?

["How Long to Drain a Cylindrical Water Tank? A Simple Calculation", "When managing water storage systems, knowing the emptying time of cylindrical tanks is essential for planning and maintenance. Consider a practical example: a cylindrical tank with a radius of 3 meters, filled to a height of 5 meters with water. If water drains at a steady rate of 2 cubic meters per minute, calculating how long it takes to fully empty the tank is simple and valuable.", "---", "### Step 1: Calculate the Volume of Water in the Tank", "The volume ( V ) of water in a cylinder is given by the formula:", "[\nV = \pi r^2 h\n]", "Where:\n- ( r = \ ext{radius} = 3 ) meters\n- ( h = \ ext{height of water} = 5 ) meters\n- ( \pi \approx 3.1416 )", "Plugging in the values:", "[\nV = \pi \ imes 3^2 \ imes 5 = \pi \ imes 9 \ imes 5 = 45\pi \approx 141.37 \ ext{ cubic meters}\n]", "---", "### Step 2: Determine the Drain Rate", "The tank drains at 2 cubic meters per minute.", "---", "### Step 3: Calculate Time to Drain Completely", "Time ( t ) in minutes is:", "[\nt = \frac{\ ext{Total Volume}}{\ ext{Drain Rate}} = \frac{45\pi}{2} \approx \frac{141.37}{2} \approx 70.69 \ ext{ minutes}\n]", "---", "### Conclusion", "It will take approximately 70.7 minutes, or 71 minutes when rounded up, to completely drain a cylindrical tank with a radius of 3 meters filled to 5 meters at a rate of 2 cubic meters per minute.", "This calculation helps facility managers and engineers plan maintenance schedules, avoid overflow, and ensure efficient water resource management.", "---", "Keywords: cylindrical tank volume, drain time calculation, water storage tank, cylindrical tank capacity, how long to drain tank, water drainage rate, water tank emptying time, cylindrical tank fill height, water tank calculation."]