A cylindrical water tank has a radius of 4 meters and a height of 10 meters. Calculate the volume of the tank in cubic meters and determine how many liters of water it can hold (1 cubic meter = 1000 liters).
["Cylindrical Water Tank: Volume, Capacity, and Practical Usage", "A well-designed cylindrical water tank is essential for storing clean water in residential, agricultural, and industrial settings. Understanding its volume helps in planning water supply needs efficiently. This article explores a cylindrical water tank with a radius of 4 meters and a height of 10 meters, calculates its total capacity in cubic meters, and converts that volume into liters for real-world application.", "### Tank Dimensions", "- Radius (r): 4 meters\n- Height (h): 10 meters", "### Step 1: Calculating the Volume in Cubic Meters", "The volume ( V ) of a cylinder is calculated using the formula:", "[\nV = \pi r^2 h\n]", "Substituting the given values:", "[\nV = \pi \ imes (4)^2 \ imes 10 = \pi \ imes 16 \ imes 10 = 160\pi\n]", "Using ( \pi \approx 3.1416 ):", "[\nV \approx 160 \ imes 3.1416 = 502.656 \ ext{ cubic meters}\n]", "So, the cylindrical tank holds approximately 502.66 cubic meters of water.", "### Step 2: Converting Cubic Meters to Liters", "Since 1 cubic meter equals 1,000 liters:", "[\n\ ext{Capacity in liters} = 502.656 , \ ext{m}^3 \ imes 1,000 = 502,656 , \ ext{liters}\n]", "### Conclusion", "A cylindrical water tank with a radius of 4 meters and height of 10 meters has a volume of approximately 502.66 cubic meters, equivalent to 502,656 liters of water. This capacity is ideal for large-scale storage in farms, small communities, or industrial applications, underscoring the importance of accurate volume calculations when designing water storage systems.", "Keywords: cylindrical water tank volume, water tank capacity, cylindrical tank liters, water storage calculation, 4 meter radius tank, 10 meter height tank"]
