A cylindrical tank with a radius of 3 meters and a height of 5 meters is filled with water. Calculate the volume of water in cubic meters.
["Cylindrical Water Tank: Understanding Its Capacity", "When planning water storage systems, understanding the volume capacity of cylindrical tanks is essential—whether for residential, agricultural, or industrial use. Take, for example, a standard cylindrical tank with a radius of 3 meters and a height of 5 meters. Today, we’ll explore how to calculate the volume of water it can hold, helping you make informed decisions about water management.", "### The Geometry Behind the Tank’s Capacity", "A cylinder’s volume is determined using a simple mathematical formula:", "[\n\ ext{Volume} = \pi r^2 h\n]", "Where:\n- ( r ) = radius of the base\n- ( h ) = height of the cylinder\n- ( \pi ) ≈ 3.14159 (Pi)", "### Plugging in the Values", "Given:\n- Radius ( r = 3 ) meters\n- Height ( h = 5 ) meters", "Substitute into the formula:", "[\n\ ext{Volume} = \pi \ imes (3)^2 \ imes 5 = \pi \ imes 9 \ imes 5 = 45\pi\n]", "### Calculating the Numerical Value", "Using ( \pi \approx 3.14159 ):", "[\n\ ext{Volume} \approx 45 \ imes 3.14159 \approx 141.37 \ ext{ cubic meters}\n]", "This means a cylindrical tank with a 3-meter radius and 5-meter height holds approximately 141.37 cubic meters (m³) of water.", "### Why This Matters", "Knowing the exact volume helps in several practical applications:\n- Estimating the water supply for households or farms\n- Planning maintenance and pumping systems\n- Designing water distribution networks\n- Ensuring compliance with storage regulations", "### Conclusion", "A cylindrical tank’s storage capacity hinges directly on its radius and height, governed by the proven volume formula. With a radius of 3 meters and a height of 5 meters, this tank holds roughly 141.37 m³ of water—making it a substantial solution for medium to large-scale water storage needs. For precise engineering or large-scale projects, accurate volume calculations ensure efficiency, safety, and reliability.", "---", "If you’re designing or selecting a water tank, consider both volume needs and structural efficiency to optimize performance."]
