A cylindrical water tank has a height of 10 meters and a radius of 4 meters. Calculate the volume of the tank in cubic meters.
["Optimizing Water Storage: Understanding the Capacity of a Cylindrical Tank", "When it comes to efficient water storage, cylindrical tanks are a common and practical choice for residential, agricultural, and commercial applications. A well-designed cylindrical water tank maximizes storage capacity while using minimal ground space—ideal, for example, in urban areas where space is at a premium.", "This article explores the volume calculation of a cylindrical water tank with specific dimensions: a height of 10 meters and a radius of 4 meters. Knowing the volume is essential for planning water supply, selecting appropriate materials, and ensuring the tank meets demand.", "---", "### What is the Volume of a Cylindrical Water Tank?", "The volume ( V ) of a cylinder is calculated using the formula:", "[\nV = \pi r^2 h\n]\nwhere:\n- ( r ) = radius of the base\n- ( h ) = height of the cylinder\n- ( \pi \approx 3.1416 ) (use a calculator for a precise value)", "---", "### Applying the Formula to Our Tank", "Given:\n- Radius ( r = 4 ) meters\n- Height ( h = 10 ) meters", "Plug into the formula:\n[\nV = \pi \ imes (4)^2 \ imes 10 = \pi \ imes 16 \ imes 10 = 160\pi\n]", "[\nV \approx 160 \ imes 3.1416 = 502.656 , \ ext{cubic meters}\n]", "---", "### Summary of Capacity", "- Precise volume: ( 160\pi , \ ext{m}^3 )\n- Approximate volume: 502.66 cubic meters", "This impressive capacity allows a single cylindrical tank to hold over 500,000 liters of water—sufficient for large households, farms, or office complexes.", "---", "### Practical Benefits", "- Space-efficient design – Perfect for areas with limited land.\n- Durable construction – Steel, concrete, or high-density polyethylene (HDPE) tanks resist corrosion and weathering.\n- Easy to scale – Multiple tanks can connect for higher storage.", "---", "Whether you’re designing a new water system or upgrading an existing one, understanding your tank’s volume is critical. A cylindrical tank with a 10 m height and 4 m radius delivers over 502 cubic meters of storage, making it a reliable backbone for sustainable and efficient water management.", "---", "Final Thoughts\nCalculating tank volume is straightforward but vital. With a height of 10 meters and radius of 4 meters, your cylindrical water tank holds approximately 502.66 m³ of water—enough to support substantial daily usage or emergency reserves. Choose wisely: size, material, and location matter.", "---\nKeywords: cylindrical water tank volume, cylindrical water tank capacity, how to calculate tank volume, water storage tank calculation, 10 meter water tank volume, 4 meter radius tank"]
