Fri, 17 Apr 2026 12:19:31 +0000

A cylindrical tank has a radius of 3 meters and a height of 10 meters. If the tank is filled with water to 80% of its capacity, what is the volume of water in the tank?
This question is gaining quiet but steady attention in the US, driven by growing interest in water storage solutions, infrastructure planning, and sustainability challenges. Many users exploring efficient resource management—homeowners, policymakers, and developers alike—ask this to better understand usable water volume in large storage systems. Why A cylindrical tank has a radius of 3 meters and a height of 10 meters. If the tank is filled with water to 80% of its capacity, what is the volume of water in the tank?
This cylindrical tank model is widely used for water storage across agriculture, industries, and municipal systems. With a steady rise in focus on water conservation and infrastructure efficiency, knowing how volume correlates with tank dimensions has become essential. Using the formula for cylinder volume—πr²h—provides clear insight into usable water capacity in relatable real-world applications. Calculating the tank’s full capacity starts with the volume formula: V = π × r² × h. Here, the radius r is 3 meters and the height h is 10 meters. Substituting:
V = π × (3)² × 10 = π × 9 × 10 = 90π cubic meters.
At full capacity, the tank holds approximately 282.74 cubic meters (using π ≈ 3.1416). But only 80% of this capacity is used—so the water volume is 0.8 × 90π = 72π cubic meters. Converting to numerical approximation:
72 × 3.1416 ≈ 226.19 cubic meters.
This means when filled to 80%, the tank holds about 226.19 m³ of water—enough to supply several households for days or support industrial processes requiring consistent water flow.