A cylindrical tank with a radius of 3 meters and a height of 5 meters is being filled with water at a rate of 2 cubic meters per minute. How long, in minutes, will it take to fill the tank completely?

Fri, 17 Apr 2026 12:58:31 +0000

**How Long to Fill a 3-Meter-Cirked Tank at 2 Cubic Meters Per Minute?**
Wondering how long it takes to fill a cylindrical tank with a radius of 3 meters and a height of 5 meters when water flows in at 2 cubic meters per minute? This question reflects growing interest in water storage efficiency, especially as climate resilience and infrastructure planning gain attention across the U.S. With water conservation remaining key in many hotter, drier seasons, understanding tank fill times helps homeowners, farmers, and urban planners make informed decisions. **The Practical Math Behind the Fill Rate**
This tank’s total volume is calculated using the cylinder volume formula: V = πr²h. With a radius of 3 meters and a height of 5 meters, the tank holds approximately 141.37 cubic meters of water. Filling at 2 cubic meters per minute means the tank takes about 70.68 minutes—just under seven and a half minutes. This simple calculation reveals how quickly capacity is filled, confirming why efficient flow rates matter in practical water management. **Why This Tank Filling Topic Is Gaining Traction in the US**
Interest around cylindrical water storage systems is rising, driven by expanding interest in sustainable homesteading, emergency preparedness, and rural development. Many Americans are exploring off-grid solutions and smart irrigation, making tank fill times a relevant metric. As water scarcity concerns intensify—especially in drought-prone regions—understanding storage dynamics helps users optimize system design and resource planning. **Step-by-Step: How to Calculate Fill Time**
To determine how long it takes to fill the tank:
1. Calculate the tank’s capacity using V = πr²h.
2. Divide total volume by the fill rate (2 m³/min).
3. The result gives minutes required—no approximations, only precise data.