Formula and Method for Cylinder Volume in Liters
Volume of a Cylinder:
V = π × r² × h
r = radius; h = height (same length unit)
A cylinder's volume is the area of its circular base (π × r²) multiplied by its height. Tanks, pipes, and containers are usually measured in centimeters, inches, or feet but rated by liquid capacity in liters, so this calculator converts the raw cubic result into liters, milliliters, US gallons, and cubic meters automatically.
How the calculation works
Enter the radius and height using the same length unit, then choose that unit from the dropdown. The calculator first converts both measurements to meters, computes the volume in cubic meters with V = π × r² × h, then multiplies by 1000 to get liters (since 1 m³ = 1000 L). From liters it derives milliliters (× 1000) and US gallons (÷ 3.785411784).
Common mistakes
- Entering diameter instead of radius: the radius is half the diameter. Using the full diameter as the radius overstates the volume by 4×.
- Mixed units: radius and height must use the same unit before you pick it from the dropdown — do not enter one in centimeters and the other in inches.
- Confusing US and Imperial gallons: this calculator reports US gallons (3.785 L each); an Imperial (UK) gallon is larger, at about 4.546 L.
Real-world applications
- Sizing water tanks, rain barrels, and fuel drums in liters or gallons before purchase
- Estimating how much liquid a cylindrical pot, bucket, or vase holds
- Calculating pipe or tube interior volume for flow and capacity planning
- Converting lab glassware or industrial vessel dimensions into liquid capacity