Cylinder Volume Calculator

Online cylinder volume calculation, supporting both radius/diameter modes, 3D visualization, multi-unit conversion, and detailed calculation steps

Bug report

Browser execution mode: Your data is processed in your browser and is not uploaded to the server.

Speed and Stability: Processing speed depends on your device and browser. For large batch work, the desktop version may be more stable.

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If the online tool fails to load or run, try the desktop tool.https://tools.yikeaigc.com/

Tool Usage

Return to old version

Set parameters first, then view results Calculate cylinder volume step by step by type, unit, and size

Supports radius/diameter input, hollow tubes, half cylinders, horizontal tank liquid level, and oblique cylinder reference calculations, with unit conversion, weight estimates, and diagrams.

Multi-unit conversion Diagram preview Savable settings

Current result Solid right cylinder

314.16 cm³

Radius 5 cm, height 8 cm. Set parameters first, then process results.

Auto calculation is on. Results refresh after you change parameters.

Set calculation parameters

Choose a cylinder type and unit first, then enter radius, diameter, height, and other sizes. Load sample data to preview quickly.

Cylinder parameter settings

Calculation type

Input length unit

Volume result unit

Use diameter input

Outer radius (r)

Height (h)

Inner radius (r₂)

Fill height (f)

For horizontal tanks, measure up from the bottom of the circular cross-section, range 0 to 2r.

Calculation precision

Material density

Density value

g/cm³

Show calculation steps

Auto calculate

Quick presets

Cylinder formula

V = π × r² × h

r = radius, h = height, π ≈ 3.14159

Cylinder features:

Two parallel, congruent circular bases
Curved side connecting the two bases
Axis perpendicular to the bases
Side surface unfolds into a rectangle
Hollow cylinder volume can be found from the difference between outer and inner radii
Horizontal tank liquid volume can be found from the circular segment area

Diameter form: V = π × (d/2)² × h; weight estimate: mass = volume × density

3D Preview

Radius:5 cm

Height: 8 cm

Drag to rotate | Scroll to zoom

Settings saved

View Calculation Results

Check volume, area, common unit conversions, and weight estimates. Go back to adjust parameters if needed.

Calculation Results

Cylinder Volume

Weight / Mass Estimate

Lateral Area

Surface Area

Base Area

Base Circumference

Save, Export, and Conversion Reference

Copy full results, export CSV, copy a share link with parameters, or save current settings for next time.

Result Actions

Set parameters and calculate in Step 1 before copying, exporting, or sharing the current results.

Unit Conversion Reference

Unit	Length Conversion	Volume Conversion
Millimeter (mm)	1 mm = 0.1 cm	1 mm³ = 0.001 cm³
Centimeter (cm)	1 cm = 10 mm	1 cm³ = 1 mL
Meter (m)	1 m = 100 cm	1 m³ = 1000 L
Inch (in)	1 in = 2.54 cm	1 in³ ≈ 16.39 cm³
Foot (ft)	1 ft = 30.48 cm	1 ft³ ≈ 28.32 L

Instructions

Software Usage Instructions

Select calculation type: Choose solid right circular cylinder, hollow cylinder/pipe, semicylinder, liquid volume in a horizontal cylindrical tank, or oblique cylinder volume as needed.
Set units: Select the input length unit, such as mm, cm, m, in, or ft; you can also separately select the volume result unit, such as cm³, mL, L, m³, in³, ft³, or US gallons.
Select input method: Radius input is used by default. If the diameter is known, enable “Use diameter input,” and the system will automatically convert it to the radius.
Enter dimension parameters:
- Outer radius/outer diameter: Enter the cylinder base dimension.
- Height/length: Enter the height for a standard cylinder; enter the container length in horizontal cylindrical tank mode.
- Inner radius: Required in hollow cylinder/pipe mode, and must be smaller than the outer radius.
- Liquid height: Required in horizontal cylindrical tank mode, with a range from 0 to the outer diameter.
Set density and precision: You can select material densities such as water, steel, aluminum, concrete, wood, and plastic, or enter a custom density; calculation precision supports integers up to 6 decimal places.
Start calculation: When automatic calculation is enabled, changes to parameters update the results simultaneously; when disabled, click the “Calculate Cylinder” button to calculate manually.
View results: The results page displays volume, common unit conversions, weight estimate, base area, lateral area, surface area, circumference, as well as full capacity and fill percentage for horizontal tanks.
View diagram and steps: The diagram changes with the parameters; you can drag to rotate and use the mouse wheel to zoom. Enable “Show calculation steps” to view formulas, substituted values, and the conversion process.
Save and export: You can save the current settings, copy the main result or full results, export a CSV file, or copy a share link with parameters.

FAQ

A: The volume formula for a solid right circular cylinder is V = π × r² × h, where r is the base radius and h is the height. If the diameter d is known, you can use V = π × (d/2)² × h.

A: The volume of a hollow cylinder is calculated by subtracting the inner circular cross-sectional area from the outer circular cross-sectional area, then multiplying by the height. The formula is V = π × (R² - r²) × h. R is the outer radius, r is the inner radius, and h is the height.

A: For a horizontal cylindrical container, the tool first calculates the circular segment area of the round cross-section based on the liquid height, then multiplies it by the container length to get the liquid volume. The liquid height is measured upward from the bottom of the circular cross-section, ranging from 0 to the outer diameter.

A: No. Diameter mode first divides the diameter by 2 to get the radius, then uses it in the formula. As long as the entered dimensions correspond to the same cylinder, the results will be the same.

A: Yes. Input units are used to interpret dimensions such as radius and height, while the result unit can be selected separately. For example, you can enter centimeters and display the result as cm³, mL, L, m³, in³, ft³, or US gallons.

A: The weight estimate uses mass = volume × density. The tool converts the volume to cm³, then multiplies it by the density in g/cm³, and displays reference results such as g, kg, t, and lb.

A: The base area is the area of the circular base, calculated as πr²; the lateral area is the area of the cylinder's side when unfolded, calculated as 2πrh; the surface area is the sum of the areas of the two bases and the side, calculated as 2πr² + 2πrh. In different modes, the corresponding cross-sectional area, wetted area, or contact area will be displayed automatically.