A cylindrical tank with a radius of 3 meters and a height of 5 meters is filled with water. How many liters of water does it hold? (1 cubic meter = 1000 liters)
["Cylindrical Water Tank Capacity: How Many Liters Does a 3m Radius, 5m Tall Tank Hold?", "When planning storage solutions for water, understanding tank capacity is essential—especially in agriculture, residential use, or industrial settings. One common query is: How many liters of water does a cylindrical tank with a radius of 3 meters and a height of 5 meters hold? In this article, we’ll calculate its volume in cubic meters and convert it to liters, helping you assess its full water storage potential.", "---", "### Step 1: Calculate Tank Volume in Cubic Meters", "A cylinder’s volume is calculated using the formula:", "[\n\ ext{Volume} = \pi \ imes r^2 \ imes h\n]", "Where:\n- ( r ) = radius = 3 meters\n- ( h ) = height = 5 meters\n- ( \pi \approx 3.1416 )", "Plug in the values:", "[\n\ ext{Volume} = \pi \ imes (3)^2 \ imes 5 = \pi \ imes 9 \ imes 5 = 45\pi \approx 45 \ imes 3.1416 = 141.372 \ ext{ cubic meters}\n]", "Thus, the tank holds approximately 141.37 cubic meters of water.", "---", "### Step 2: Convert Cubic Meters to Liters", "Since 1 cubic meter equals 1000 liters:", "[\n141.372 \ ext{ m}^3 \ imes 1000 = 141,372 \ ext{ liters}\n]", "---", "### Final Result: The Tank Holds About 141,372 Liters of Water", "This cylindrical tank with a 3-meter radius and 5-meter height can store roughly 141,372 liters—enough to supply water for moderate residential needs or small agricultural irrigation.", "For those relying on water storage solutions, knowing the exact capacity ensures proper planning for usage, maintenance, and replenishment schedules.", "---", "Key Takeaways:\n- Radius = 3 m\n- Height = 5 m\n- Capacity ≈ 141.37 m³\n- Equivalent = 141,372 liters", "Understanding these dimensions helps optimize water management in households, farms, or commercial operations.", "---", "If you’re designing or purchasing a water storage tank, always account for tank geometry—cylindrical designs efficiently store large volumes with solid structural strength. For best results, pair this capacity with reliable filtration and regular water quality checks."]
