A cylindrical tank with a radius of 3 meters is filled with water to a height of 5 meters. Calculate the volume of water in the tank. Use π ≈ 3.14.
["Cylindrical Water Tank: Calculating Volume at 3-Meter Radius and 5-Meter Fill Height", "When designing or analyzing water storage systems, understanding the volume of water held in cylindrical tanks is essential. In this article, we explore the volume of a cylindrical tank with a radius of 3 meters filled with water to a height of 5 meters, using a practical approach with an approximation of π ≈ 3.14.", "### Understanding the Cylinder Volume Formula", "The volume ( V ) of a cylinder is calculated using the formula:", "[\nV = \pi r^2 h\n]", "Where:\n- ( r ) is the radius of the cylinder\n- ( h ) is the height (or fill height) of the water inside\n- ( \pi ) is the mathematical constant approximately equal to 3.14", "### Applying the Given Dimensions", "For this scenario:\n- Radius ( r = 3 ) meters\n- Water height ( h = 5 ) meters", "Substitute into the formula:", "[\nV = 3.14 \ imes (3)^2 \ imes 5\n]", "Calculate step by step:\n- ( (3)^2 = 9 )\n- ( 3.14 \ imes 9 = 28.26 )\n- ( 28.26 \ imes 5 = 141.3 )", "Thus, the volume of water is:", "[\nV = 141.3 \ ext{ cubic meters}\n]", "### Practical Application and Importance", "Knowing this volume helps in reservoir planning, determining water supply capacity, or ensuring efficient tank sizing for residential, agricultural, or industrial applications. A 3-meter radius cylindrical tank filled to 5 meters holds approximately 141.3 m³ of water—enough to support daily needs or industrial processes depending on usage context.", "### Summary", "- Tank shape: Cylindrical\n- Radius: 3 meters\n- Water height: 5 meters\n- **Volume using ( \pi \approx 3.14 ): 141.3 m³", "This straightforward calculation enables accurate estimates critical for water management and engineering design. Whether for construction, agriculture, or urban planning, precise volume calculations ensure optimal resource utilization."]
