A cylindrical tank has a radius of 3 meters and a height of 5 meters. If the tank is filled with water to 80% of its capacity, how many cubic meters of water does it contain?
["Title: How to Calculate Water Volume in a Cylindrical Tank – A Practical Example", "Understanding the capacity of cylindrical tanks is essential in industries ranging from water supply and agriculture to construction and manufacturing. Whether you're managing a water storage system or designing industrial equipment, knowing how to calculate stored liquid volume can help optimize efficiency and maintenance.", "In this article, we’ll explore the volume of a cylindrical tank with a radius of 3 meters and a height of 5 meters, filled to 80% of its full capacity. The result helps answer the critical question: How many cubic meters of water does the tank hold when not full?", "---", "### Step 1: Formula for Volume of a Cylinder", "The volume ( V ) of a cylinder is calculated using the formula:\n[\nV = \pi r^2 h\n]\nwhere:\n- ( r ) = radius of the base (in meters)\n- ( h ) = height (in meters)\n- ( \pi \approx 3.1416 )", "---", "### Step 2: Plug in the Given Dimensions", "Given:\n- Radius ( r = 3 ) meters\n- Height ( h = 5 ) meters", "Calculate the full volume:\n[\nV = \pi (3)^2 (5) = \pi \ imes 9 \ imes 5 = 45\pi\n]\nUsing ( \pi \approx 3.1416 ):\n[\nV \approx 45 \ imes 3.1416 = 141.372 , \ ext{cubic meters}\n]", "---", "### Step 3: Calculate 80% of Full Capacity", "Only 80% of the tank’s capacity is filled with water:\n[\n\ ext{Water volume} = 0.80 \ imes 141.372 \approx 113.098 , \ ext{cubic meters}\n]", "---", "### Conclusion: Tank Contains Approximately 113.1 Cubic Meters of Water", "This calculation is vital for managing water resources, scheduling refills, and preventing overflow or underfill in storage systems. With a radius of 3 meters and a height of 5 meters, the cylindrical tank holds about 113.1 cubic meters of water when filled to 80%.", "Key Takeaway:\nUnderstanding cylindrical tank volume enables accurate planning and operational efficiency. For a tank of dimensions 3m radius × 5m height filled to 80%, expect approximately 113.1 m³ of water.", "---", "Keywords: cylindrical tank volume, water storage capacity, tank capacity calculation, 3 meter radius tank, 5 meter tall cylindrical tank, water volume in meters cubed, filling percentage in tanks.", "---", "Whether you’re a civil engineer, facility manager, or homeowner, mastering tank volume calculations ensures optimal water handling. Use this model for any similar cylindrical storage system to maintain efficiency and sustainability."]
