A cylindrical tank with a radius of 3 meters and a height of 10 meters is filled with water. If a sphere with a radius of 2 meters is submerged, how much water overflows?

Fri, 17 Apr 2026 23:25:02 +0000

**How Much Water Overflows When a Sphere Is Submerged in a Large Cylindrical Tank?** What happens when you drop a spherical object into a tall water-filled cylindrical tank? For those fascinated by physics and practical engineering, this question sparks curiosity—especially as physical models help explain fluid displacement in real-world applications. A cylindrical tank with a radius of 3 meters and a height of 10 meters is filled to capacity. Submerging a solid sphere of radius 2 meters offers a clear, measurable insight into displacement: how much water must spill over to maintain equilibrium. This scenario isn’t just a textbook example—it’s increasingly relevant in urban water storage, industrial tank design, and even disaster preparedness planning across the U.S. This inquiry has gained quiet momentum in technical and educational communities. With rising demand for accurate water resource management and smart infrastructure awareness, understanding displacement in cylindrical volumes supports informed decisions—from construction to emergency response. **Understanding the Tank and Submerged Sphere**