Calculating the volume of a cylinder is an important task in engineering, construction, and everyday matters. Imagine you need to find out how much water will fit in a tank, or calculate the volume of concrete for a column - a cylinder volume calculator will save hours of manual calculations. In this article, you will find a convenient online calculator, formulas for independent calculations, real examples, and answers to frequently asked questions.
Formula for the volume of a cylinder: How to calculate manually?
The volume of a cylinder can be calculated in three ways:
Through the radius
V = π × R² × H,
where:
- R - radius of the base,
- H - height of the cylinder.
Cylinder with a radius of 1.5 m and a height of 4 m:
V = 3.1416 × (1.5)² × 4 = 28.274 m³.
Through the diameter
V = π × (D² / 4) × H,
where: D - diameter of the base.
Through the base area
V = S × H,
where S - base area (π × R² or π × (D² / 4)).
Cylinder with a base area of 7 m² and a height of 3 m:
V = 7 × 3 = 21 m³.
Table of typical values for quick calculations
| Diameter (m) | Height (m); | Volume (m³) |
| 2 | 5 | 15.708 |
| 3 | 4 | 28.274 |
| 1.5 | 6 | 10.598 |
How the online cylinder volume calculator works
Use our cylinder volume calculation calculator in m³ to get the result in seconds. The calculation is suitable for water, concrete, gas, and more. For example, for a cylindrical tank of 1000 liters (1 m³) with a diameter of 1 m:
- Enter the diameter 1 m.
- Specify the height 1.273 m (H = V / (π × (D² / 4)) = 1 / (3.1416 × 0.25) ≈ 1.273.
- The calculator will show the exact volume.
Frequently Asked Questions (FAQ)
How to calculate the volume of a cylinder through the base area?
Multiply the base area by the height: V = S × H. For example, with S = 5 m² and H = 2 m: V = 10 m³.
How to convert liters to m³ for a cylindrical tank?
1 m³ = 1000 liters. For example, a tank of 5000 liters = 5 m³.
What to do if only the diameter is known?
Use the formula V = π × (D² / 4) × H or our calculator.
How to find the height of a cylinder if the volume and radius are known?
H = V / (π × R²). For example, with V = 30 m³ and R = 2 m: H = 30 / 12.566 ≈ 2.387 m.
Conclusion
Now you know how to find the volume of a cylinder through the diameter, radius, or base area. Use our online cylinder volume calculator in m³ to avoid errors and save time. For complex projects (e.g., calculating the volume of two cylinders with different diameters), combine formulas and calculators.