What is the Cylinder Volume in Liters Calculator?
This calculator finds how much liquid a cylindrical container can hold, expressed in liters. You enter the cylinder's radius and height in centimeters, and it computes the volume using the standard geometry formula and converts the result to liters. It is useful for tanks, pipes, drums, water bottles, aquariums, and any cylindrical vessel.
How to use it
Measure the inside radius of the cylinder (half of the diameter) and its height, both in centimeters. Enter the two values and the calculator instantly returns the capacity in liters, plus the equivalent volume in cubic centimeters. If you only know the diameter, divide it by 2 to get the radius.
The formula explained
The volume of a cylinder is the area of its circular base multiplied by its height: $$V = \pi \times r^{2} \times h.$$ With \(r\) and \(h\) in centimeters, \(V\) comes out in cubic centimeters (cm³). Because 1 liter equals exactly 1000 cm³, dividing by 1000 converts the result into liters: $$\text{Liters} = \pi \times r^{2} \times h \div 1000.$$
Worked example
Suppose a tank has a radius of 10 cm and a height of 20 cm. The volume is $$\pi \times 10^{2} \times 20 = \pi \times 100 \times 20 = 6283.19 \text{ cm}^{3}.$$ Dividing by 1000 gives about 6.283 liters of capacity.
FAQ
Do I use radius or diameter? Use the radius. If you measured the diameter, halve it first.
What if my measurements are in millimeters? Divide each measurement by 10 to convert mm to cm before entering it.
Is this the inside or outside volume? Use the internal dimensions to get the true holding capacity; using outside dimensions slightly overestimates capacity because it ignores wall thickness.