A cylindrical tank with a radius of 3 meters and a height of 5 meters is filled with water. If the water is transferred to a rectangular tank with a base area of 20 square meters, what will be the height of the water in the rectangular tank?

Sat, 02 May 2026 14:59:31 +0000

**Why This Question Is Surprising—and Why It Matters** Imagine a cylindrical tank, sturdy and familiar, filled to the brim with water—its dimensions precise: a 3-meter radius and 5-meter height. That’s roughly 141.37 cubic meters of water. Now picture transferring that volume into a rectangular tank with a base area of 20 square meters. What height does the water rise? It’s not just a geometry question—it’s a practical, real-world problem drawing interest from urban planners, engineers, and developers managing water storage and distribution across the U.S. As resource efficiency and infrastructure planning gain momentum, this calculation becomes part of broader conversations around water conservation, smart storage design, and sustainable development. This scenario isn’t hypothetical. With growing concerns over water availability—especially in drought-prone regions—and increasing demands on critical infrastructure, understanding how liquid volume converts across tank designs helps inform smarter construction and resource allocation decisions. **The Math Behind the Water Transfer**