A cylindrical tank with a radius of 3 meters and a height of 10 meters is filled with water. If water is drained from the tank at a rate of 2 cubic meters per minute, how long will it take to empty the tank?

Mon, 20 Apr 2026 01:21:39 +0000

A cylindrical tank with a radius of 3 meters and a height of 10 meters is filled with water. If water is drained at a rate of 2 cubic meters per minute, how long will it take to empty the tank? People across the U.S. are increasingly exploring efficient water management in infrastructure, especially in agricultural, industrial, and municipal systems. This scenario—where a large cylindrical reservoir slowly depletes—draws attention not only for its mathematical simplicity but also as a real-world example of flow dynamics and resource planning. ### How This Tank and Drain Rate Work Together The tank’s volume is determined by its cylindrical geometry:
Volume = π × r² × h
Plugging in the dimensions—radius = 3 meters, height = 10 meters—
Volume = π × 3² × 10 = π × 9 × 10 = 90π cubic meters, approximately 282.74 m³. Draining at 2 cubic meters per minute, the time to empty the tank is a straightforward calculation:
Total time = Volume ÷ Drain rate = 90π ÷ 2 ≈ 141.37 minutes, or about 2 hours and 21 minutes.