A cylindrical tank has a radius of 3 meters and a height of 10 meters. If the tank is filled with water to 70% of its capacity, how many cubic meters of water does it contain?
["### How Much Water Does a Cylindrical Tank Hold at 70% Capacity?", "When managing water storage systems, understanding tank capacity is essential for efficient planning and calculation. Take, for example, a cylindrical tank with a radius of 3 meters and a total height of 10 meters. If this tank is filled to 70% of its full capacity, how much water does it hold?", "#### Step 1: Calculate the Full Volume of the Cylinder", "The volume ( V ) of a cylinder is calculated using the formula:", "[\nV = \pi r^2 h\n]", "where:\n- ( r = 3 ) meters (radius),\n- ( h = 10 ) meters (height),\n- ( \pi \approx 3.1416 ).", "Substituting the values:", "[\nV = \pi \ imes (3)^2 \ imes 10 = \pi \ imes 9 \ imes 10 = 90\pi \approx 282.74 \ ext{ cubic meters}\n]", "So, the total volume is approximately 282.74 m³.", "#### Step 2: Calculate 70% of the Full Volume", "To find the volume of water when the tank is filled to 70%, multiply the total volume by 0.7:", "[\n\ ext{Water volume} = 0.7 \ imes 282.74 \approx 197.92 \ ext{ cubic meters}\n]", "#### Final Result", "Filled to 70% capacity, the cylindrical tank holds approximately 197.92 cubic meters of water.", "This information helps in scheduling water usage, monitoring reserves, and optimizing system efficiency in residential, industrial, or agricultural applications.", "Keywords: cylindrical tank volume, water capacity calculation, 3 meter radius tank, 10 meter height cylindrical tank, 70% tank fill volume, water storage calculation, cylinder volume formula."]
