A cylindrical tank with a radius of 3 meters is filled with water to a height of 5 meters. If the tank is emptied at a rate of 10 liters per minute, how long will it take to empty the tank?

Fri, 08 May 2026 04:17:54 +0000

**A cylindrical tank with a radius of 3 meters is filled with water to a height of 5 meters. If the tank is emptied at a rate of 10 liters per minute, how long will it take to empty the tank?** In a time when efficient resource use and sustainability dominate public discourse, even large-scale structures like industrial water tanks are drawing attention—especially among homeowners, small businesses, and municipal planners. A cylindrical tank measuring 3 meters in radius, brimming to a depth of 5 meters, stands as a practical solution for water storage. With a capacity that reflects real-world engineering standards, this tank holds approximately 141.37 cubic meters of water—enough to support household needs or small-scale irrigation over time. When emptied at 10 liters per minute, the question arises: how long does it truly take to drain this volume? Understanding the math behind the timeline offers clarity amid growing interest in water management efficiency. The water volume in a cylindrical tank is calculated using the formula for volume: π × radius² × height. For a tank with a 3-meter radius and 5-meter fill height, this computes to roughly 141.37 cubic meters. Since 1 cubic meter equals 1,000 liters, the full tank holds about 141,370 liters. At a steady emptying rate of 10 liters per minute, dividing total volume by flow rate reveals the duration needed: 141,370 ÷ 10 = 14,137 minutes. Converting this to hours and days—14,137 ÷ 60 ≈ 235.6 hours or roughly 9.8 days—typically depicted as over 9 and a half days of continuous empty. This timeline reflects real-world usage, where tanks are rarely drained in one burst but monitored for balance and system efficiency. Across the U.S., interest in tank emptying rates reflects broader conversations around water conservation, utility maintenance, and smart home automation. Homeowners fish out decisions about sizing tanks not just for capacity but for how quickly water can be reserved or redistributed. Planners analyze flow rates to align infrastructure with demand without waste. However, users should note a critical factor: real emptying times vary due to pump efficiency, tank design features, and pressure changes. These nuances