About Cylinder Volume Formula
This site does one shape and tries to do it completely: the cylinder. Volume, surface area, the radius or height you are missing, the capacity in gallons or liters, tanks lying on their side, pipes, posts and the geometry behind them.
Why a whole site for one shape
Most questions about cylinders are not textbook questions. Someone has a rain barrel and wants gallons, a plumber needs the water held by 80 feet of 3-inch line, a builder is pouring round footings, a student has to show where πr²h comes from. Each of those has its own trap: the diameter used as a radius, inches mixed with feet, a tank only half full. Giving each question its own page, with a calculator set up for it, makes those traps visible.
How the pages are checked
- Every formula is written out with its symbols defined, and every worked example is recomputed with full-precision π before it is published.
- Conversion factors are the exact legal definitions where they exist (1 in = 2.54 cm, 1 US gallon = 231 in³, 1 L = 1,000 cm³) and are rounded only for display.
- The calculators share one tested engine. Its formulas are checked against known values: a full and a half-full horizontal tank, inverse formulas that must return the starting radius or height, and the 1 : 2 : 3 ratio of cone, sphere and cylinder.
- Tables of capacities are generated by the same engine instead of being typed by hand.
What the calculators do with your numbers
Nothing leaves your browser. The measurements you type are used on the page and forgotten when you close it. The only thing remembered is whether you prefer inches and feet or centimeters and meters, stored on your own device. Details are on the privacy page.
Limits
Results are as good as the measurements. Real tanks have domed or dished ends, pipes have fittings, forms bulge and concrete settles. Where it matters (ordering fuel, concrete or chemicals), allow a margin and check against the manufacturer's capacity chart.
Spotted a mistake?
Write to contact@cylindervolumeformula.com with the page address and what looks wrong. Corrections are made quickly and the page date is updated. To get started, the main cylinder volume calculator is on the home page, and the method is explained step by step in how to find the volume of a cylinder.