A cylindrical water tank has a radius of 5 meters and a height of 10 meters. If the tank is filled to the top, what is the volume of water in cubic meters? Use \(\pi \approx 3.14\).

["### Cylindrical Water Tank Volume: Calculating Water Capacity in Cubic Meters", "When designing or assessing water storage systems, understanding the volume of cylindrical tanks is essential. In this article, we explore the volume of a specific cylindrical water tank with precise dimensions and explain how to calculate cubic meters of water it can hold when full.", "#### Tank Specifications", "- Radius (r): 5 meters\n- Height (h): 10 meters\n- Fill Level: Full (up to the top)\n- Approximation of π: 3.14", "#### The Formula for Volume of a Cylinder", "The volume ( V ) of a cylinder is calculated using the formula:", "[\nV = \pi \cdot r^2 \cdot h\n]", "Where:\n- ( r ) is the radius\n- ( h ) is the height\n- ( \pi ) is pi (approximately 3.14 in this context)", "#### Step-by-Step Calculation", "1. Square the radius:\n [\n r^2 = 5^2 = 25 \ ext{ m}^2\n ]", "2. Multiply by height:\n [\n 25 \cdot 10 = 250 \ ext{ m}^3 \quad (\ ext{before multiplying by } \pi)\n ]", "3. Multiply by (\pi) (3.14):\n [\n V = 3.14 \ imes 250 = 785 \ ext{ cubic meters}\n ]", "#### Final Result", "When filled to the top, a cylindrical water tank with a radius of 5 meters and a height of 10 meters holds approximately 785 cubic meters of water. This precise calculation supports effective planning in municipal water storage, agriculture, and industrial applications where accurate volume measurement is critical.", "#### Practical Applications", "- Residential and Commercial Water Supply: Ensuring tanks meet demand based on cubic meter capacity.\n- Agricultural Irrigation: Accurate storage measurement helps optimize water usage.\n- Emergency Planning: Reliable volume data supports disaster resilience and infrastructure design.", "Understanding water volume in cylindrical storage tanks empowers effective engineering, resource management, and investment decisions."]