A cylindrical tank with a radius of 3 meters and a height of 7 meters is filled with water. Calculate the volume of water in the tank.
["Title: How to Calculate the Volume of Water in a Cylindrical Tank (Step-by-Step Guide)", "---", "When it comes to storing water for industrial, agricultural, or residential use, cylindrical tanks are widely preferred due to their structural efficiency and uniform storage capacity. Take, for example, a cylindrical tank with a radius of 3 meters and a height of 7 meters—a common setup in water storage systems. But how much water can this tank hold? In this article, we’ll walk you through the complete calculation process and reveal that the volume of water it contains.", "### The Formula for the Volume of a Cylinder", "A cylinder’s volume ( V ) is calculated using the formula:", "[\nV = \pi r^2 h\n]", "Where:\n- ( r ) = radius of the cylinder\n- ( h ) = height of the cylinder\n- ( \pi ) (pi) ≈ 3.1416", "### Given Parameters", "- Radius ( r = 3 ) meters\n- Height ( h = 7 ) meters", "### Step-by-Step Volume Calculation", "Step 1: Square the radius\n[\nr^2 = 3^2 = 9 \ ext{ m}^2\n]", "Step 2: Multiply by the height\n[\n9 \ imes 7 = 63 \ ext{ m}^3\n]", "Step 3: Multiply by ( \pi )\n[\nV = \pi \ imes 63 \approx 3.1416 \ imes 63 = 197.92 \ ext{ m}^3\n]", "### Final Result", "The total volume of water the cylindrical tank can hold is approximately 197.92 cubic meters. To express this in standard units:", "- 197.92 m³ = 197.92 cubic meters\n- In liters: ( 197.92 \ imes 1000 = 197,920 ) liters\n- In gallons: ( 197.92 \ imes 264.172 \approx 52,222 ) gallons (using 1 m³ ≈ 264.172 gallons)", "### Why This Matters", "Knowing the volume is crucial for managing water supply—whether for firefighting, irrigation, or municipal use. A 3-meter radius cylindrical tank offers solid capacity with minimal material use, thanks to optimized geometry.", "### Summary", "- Radius = 3 m\n- Height = 7 m\n- Volume of water = 197.92 m³\n- Efficient and reliable storage for large-scale water needs", "For reliable construction and precise water measurement, understanding this calculation ensures you make optimal use of your cylindrical storage system.", "---", "Keywords: cylindrical tank volume, water storage tank calculation, radius height volume formula, cylindrical tank water capacity, how to calculate volume of a cylinder, 3m radius tank volume, 7m height water volume.", "Meta Description: Calculate the volume of water in a cylindrical tank with a radius of 3 meters and height of 7 meters using the formula V = πr²h. Find out it’s approximately 197.92 cubic meters. Ideal for water storage planning."]
