Cone Volume Calculator
Calculate the volume, surface area, lateral area, and slant height of a cone. Supports multiple solve modes, unit conversion, and real-world presets.
Cylinder Volume Calculator
Calculate the volume, surface area, and capacity of a cylinder. Includes fill level, liter/gallon conversion, diameter mode, and presets for common cylinders.
cm
cm
Percentage of the cylinder that is filled (0–100)
%
Planning notes, formulas, and examples
About the Cylinder Volume Calculator
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 compare familiar dimensions without entering them by hand. The reference table provides quick comparisons of everyday cylindrical objects.
When This Page Helps
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.
How to Use the Inputs
- Choose whether to enter the radius or diameter using the input mode dropdown.
- Select the measurement unit (mm, cm, in, m, or ft).
- Enter the radius (or diameter) and height of the cylinder.
- Optionally adjust the fill level percentage to calculate partial volume.
- View the total volume, filled volume, capacity in liters/gallons, surface area, and more.
- Scroll down to the reference table to compare your cylinder with common objects.
- Use presets to load dimensions for well-known cylinders like soda cans or buckets.
Formula used
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 cm³Example Calculation
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.
Tips & Best Practices
- If you know the diameter, switch to diameter mode — the calculator halves it internally.
- Use the fill level slider to calculate how much liquid a partially filled tank holds.
- Surface area is useful for estimating paint, wrapping, or insulation material.
- For pipes, the "cylinder" is the inner void — use the inner radius, not the outer wall.
- Doubling the radius quadruples the volume; doubling the height only doubles it.
How This Cylinder Volume Calculator Works
Where It Helps In Practice
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.
Accuracy And Setup Tips
Sources & Methodology
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Frequently Asked Questions
V = πr²h — multiply the area of the circular base (πr²) by the height.
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.
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