A cylindrical tank with a radius of 3 meters and a height of 5 meters is filled with water. If water is drained at a rate of 0.5 cubic meters per minute, how long will it take to empty the tank?

Sun, 03 May 2026 14:17:40 +0000

**How Long to Empty a Cylindrical Tank? Understanding the Math Behind Water Drain Rates** Have you ever wondered how long it really takes to drain a large cylindrical tank, like one with a radius of 3 meters and a height of 5 meters—completely full of water—and whether a steady flow of 0.5 cubic meters per minute makes the process a timespan worth understanding? In an era where home automation, water conservation, and smart infrastructure are top of mind, this question surfaces more often—driven by homeowners calculating water usage, facility managers tracking system efficiency, and families curious about household water dynamics. Modern households and commercial facilities often rely on cylindrical tanks to store water for drinking, irrigation, or sanitation. The image of a tall, cylindrical vessel filled to the brim—and then slowly draining—resonates particularly now amid growing awareness of sustainable resource management. Understanding the timeline for such drainage isn’t just academic; it impacts planning, planning for irrigation schedules, emergency preparedness, and system design. **Why This Tank Size and Drain Rate Matter Now**