A cylindrical tank with a radius of 3 meters and height of 5 meters is filled with water. If a spherical object with a radius of 1 meter is fully submerged in the tank, by how much does the water level rise?

Mon, 04 May 2026 22:01:49 +0000

**How Much Does the Water Level Rise When a Sphere Is Fully Submerged in a Large Cylindrical Tank?** Curious about how volume displacement affects everyday systems that rely on precise water levels? Consider a cylindrical tank with a radius of 3 meters and a height of 5 meters, currently filled to capacity with water. Now imagine submerging a solid metal sphere with a radius of 1 meter completely into the tank. Although the tank is full, only a portion of water spills—specifically, the exact rise in water level reveals how volume displacement works in real-world engineering. This question isn’t just theoretical—it’s relevant to industries managing water storage, industrial tanks, and large-scale fluid systems. Standing at the intersection of fluid dynamics and practical design, understanding this scenario builds awareness of how physical constraints create measurable changes, even in seemingly static settings. --- ### Why This Scenario Matters in the US