Calculate the volume, surface area, and capacity of a cylinder. Includes fill level, liter/gallon conversion, diameter mode, and presets for common cylinders.
A cylinder is one of the most common three-dimensional shapes found in everyday life — from soda cans and pipes to storage tanks and pillars. Calculating its volume and surface area is a fundamental skill in geometry, engineering, manufacturing, and fluid mechanics.
The volume of a cylinder is straightforward: V = πr²h, where r is the base radius and h is the height. Unlike a cone (which holds only one-third the volume), a cylinder's volume scales linearly with height and quadratically with radius. The total surface area consists of two circular bases (2πr²) plus the lateral (side) surface that, when unrolled, forms a rectangle with area 2πrh.
Beyond basic geometry, cylinder calculations have practical applications in capacity planning. How many liters does a rain barrel hold? How much paint is needed to coat a cylindrical tank? What is the volume of water in a partially filled pipe? This calculator answers all these questions by computing total volume, filled volume at any fill percentage, capacity in liters and US gallons, total and component surface areas, and diameter. Presets for common cylinders — soda cans, buckets, oil drums, and pipes — let you explore instantly without entering dimensions. The reference table provides quick comparisons of everyday cylindrical objects.
The Cylinder Volume Calculator is useful when you need fast and consistent geometry results without reworking the same algebra repeatedly. It helps you move from raw measurements to Total Volume, Filled Volume, Capacity (Liters) in one pass, with conversions and derived values shown together.
Use it to validate homework steps, check CAD or fabrication dimensions, estimate material requirements, and sanity-check hand calculations before submitting work.
Volume: V = πr²h Lateral Surface Area: A_l = 2πrh Base Area: A_b = πr² Total Surface Area: A = 2πr(r + h) Capacity: 1 L = 1,000 cm³; 1 US gal ≈ 3,785.41 cm³
Result: Volume ≈ 417.42 cm³ ≈ 0.417 L
A standard 355 ml soda can has approximate radius 3.3 cm and height 12.2 cm. Volume = π × 3.3² × 12.2 ≈ 417.42 cm³ ≈ 0.417 L. The slight difference from 355 ml accounts for the tapered top and thicker walls of a real can.
This calculator combines the core geometry formula with the input mode selected in the interface, then derives companion values shown in the output cards, comparison bars, and reference tables. Use it to cross-check both direct calculations and reverse-solving scenarios where one measurement is unknown.
Cylinder Volume Calculator calculations show up in coursework, drafting, construction layout, packaging, tank sizing, machining, and quality control. Instead of solving each transformation manually, you can test scenarios quickly and verify whether your dimensions remain within tolerance.
Keep units consistent across every input before interpreting area, perimeter, angle, or volume outputs. For best results, measure carefully, round only at the final step, and compare at least one manual calculation with the calculator output when building confidence.
V = πr²h — multiply the area of the circular base (πr²) by the height. Use this as a practical reminder before finalizing the result.
Halve the diameter to get the radius, then use V = πr²h. Our calculator has a diameter input mode that does this automatically.
1 liter = 1,000 cm³. Calculate volume in cm³, then divide by 1,000. The calculator converts automatically.
For a vertical cylinder, the filled volume is simply (fill% / 100) × total volume. Use the fill level field to compute this.
Use the lateral area if painting only the curved side, or the total surface area if painting the caps too. Divide by the paint coverage rate on the label.
A cylinder has circular bases; a prism has polygonal bases. Both have volume = base area × height, but the base area formula differs.