A cylindrical tank has a radius of 4 meters and a height of 10 meters. If the tank is filled with water to 75% of its capacity, how much water (in cubic meters) is in the tank?

["Title: How Much Water Fits in a Cylindrical Tank? Find Its Capacity and 75% Fill Volume", "When managing water storage for industrial, agricultural, or residential use, understanding a cylindrical tank’s volume is essential. In this detailed guide, we explore the volume of a cylindrical tank with a radius of 4 meters and a height of 10 meters — and calculate how much water is stored when filled to 75% of its total capacity.", "### Understanding the Cylindrical Tank Dimensions", "The tank is a perfect cylinder with:\n- Radius (r) = 4 meters\n- Height (h) = 10 meters", "The formula for the volume ( V ) of a cylinder is:\n[\nV = \pi r^2 h\n]", "Substituting the given values:\n[\nV = \pi \ imes (4)^2 \ imes 10 = \pi \ imes 16 \ imes 10 = 160\pi \ ext{ cubic meters}\n]", "Using ( \pi \approx 3.1416 ), the total volume is approximately:\n[\n160 \ imes 3.1416 \approx 502.65 \ ext{ m}^3\n]", "### Water Volume When Filled to 75%", "Since the tank is filled to 75% of its total capacity, the volume of water is:\n[\n\ ext{Water Volume} = 0.75 \ imes 160\pi = 120\pi \ ext{ m}^3\n]", "Calculating the numerical value:\n[\n120 \ imes 3.1416 \approx 376.99 \ ext{ m}^3\n]", "### Why This Matters", "Knowing how much water resides in cylindrical storage tanks helps in effective resource planning. Whether for municipal water systems, farming irrigation, or industrial processes, precise volume calculations ensure no under- or overestimation occurs.", "In conclusion, a cylindrical tank with a 4-meter radius and 10-meter height holds about 502.65 cubic meters of water when full. At 75% capacity, it contains approximately 376.99 cubic meters — a critical figure for operational and logistical planning."]