A cylindrical tank has a radius of 5 meters and a height of 10 meters. Calculate the volume of the tank in cubic meters. Use the formula for the volume of a cylinder, \( V = \pi r^2 h \).

["### Discovering the Volume of a Cylindrical Tank: A Practical Calculation", "When managing utilities, storage systems, or industrial equipment, accurately calculating the volume of cylindrical tanks is essential. A common example is a large water storage tank with a radius of 5 meters and a height of 10 meters. Understanding how to compute its capacity helps in planning, maintenance, and resource management.", "#### Understanding the Cylinder Formula", "The volume ( V ) of a cylinder is determined using the formula:", "[\nV = \pi r^2 h\n]", "where:\n- ( r ) is the radius of the cylinder’s base,\n- ( h ) is the height,\n- ( \pi ) (pi) is a constant approximately equal to 3.1416.", "#### Step-by-Step Volume Calculation", "Given:\n- Radius ( r = 5 ) meters,\n- Height ( h = 10 ) meters.", "First, square the radius:\n[\nr^2 = 5^2 = 25 \ ext{ m}^2\n]", "Next, multiply by height:\n[\n25 \ imes 10 = 250 \ ext{ m}^2\n]", "Now multiply by ( \pi ):\n[\nV = \pi \ imes 250 \approx 3.1416 \ imes 250 = 785.4 \ ext{ m}^3\n]", "#### Final Result", "The total volume of the cylindrical tank is approximately 785.4 cubic meters.", "This calculation ensures precise measurement for applications like water supply, chemical storage, or food-grade containment, where volume accuracy supports efficient planning and compliance.", "#### Summary", "For a cylindrical tank with:\n- 5 meters radius,\n- 10 meters height,", "use the formula ( V = \pi r^2 h ) to derive a volume of 785.4 m³—ideal for engineering, environmental, or industrial volume estimations."]