A cylindrical tank has a radius of 3 meters and a height of 5 meters. If water is filled up to 80% of its capacity, how many cubic meters of water are in the tank?

["How to Calculate Water Volume in a Cylindrical Tank", "Understanding how to calculate the volume of water stored in a cylindrical tank is essential for industries, households, and engineering projects where precise water storage measurements are critical. In this article, we’ll explore the precise calculation of water volume in a cylindrical tank with a radius of 3 meters and a height of 5 meters, when filled to 80% of its full capacity.", "### Understanding Cylindrical Tank Volume", "A cylinder’s volume is found using the formula:", "[\nV = \pi r^2 h\n]", "Where:\n- ( V ) is volume in cubic meters\n- ( r ) is the radius of the base\n- ( h ) is the height\n- ( \pi ) approximately equals 3.1416", "For the given tank:\n- Radius ( r = 3 ) meters\n- Height ( h = 5 ) meters", "Plugging in the values:\n[\nV = \pi \ imes (3)^2 \ imes 5 = \pi \ imes 9 \ imes 5 = 45\pi \ ext{ cubic meters}\n]", "This represents the full capacity of the tank:\n[\nV_{\ ext{full}} \approx 45 \ imes 3.1416 = 141.372 \ ext{ m}^3\n]", "### Filling the Tank to 80% Capacity", "To find the volume of water when the tank is filled to 80%, multiply the full volume by 0.8:\n[\nV_{\ ext{water}} = 0.8 \ imes 45\pi = 36\pi \ ext{ m}^3\n]", "Numerically:\n[\nV_{\ ext{water}} \approx 36 \ imes 3.1416 = 113.0976 \ ext{ m}^3\n]", "### Summary", "- A cylindrical tank with a radius of 3 meters and height of 5 meters has a total volume of approximately 141.37 m³.\n- When filled to 80% of capacity, it holds approximately 113.10 cubic meters of water.", "### Why This Calculation Matters", "Accurate volume estimation in cylindrical storage tanks ensures efficient water management, proper sizing for construction, and reliable supply planning. Whether for residential use, agriculture, or industrial applications, knowing how much water your tank holds enables better decision-making and resource allocation.", "For a 3m radius, 5m tall cylindrical tank filled to 80%:\nThere are approximately 113.10 cubic meters of water in the tank."]