Cone Volume Calculator

Online cone volume calculator that supports entering the base radius and height, provides 3D cone visualization, and calculates slant height.

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 cone parameters, then view volume, area, and steps Supports common known values like radius, height, diameter, circumference, base area, and slant height. Results update in the preview on the right.

Set calculation conditions

Choose the parameter set you have. If using slant height, it must be greater than the base radius.

Known values Use consistent units

Parameter set

Length unit

Input values Enter base radius and vertical height

Base radius r

Distance from the base center to its edge.

Height h

Vertical distance from base to apex.

Precision and display Adjust for result use

Decimal places

Show steps Show expanded values Auto-calculate on input Show diagram labels

Set parameters first, then click “Calculate and view results”.

Review and export results

Results include volume, base area, lateral area, surface area, slant height, diameter, and common volume conversions.

Waiting for results Set parameters first, then click “Calculate and view results”.

Cone visualization Drag to rotate view

Radius r4 cm

Height h9 cm

Slant height l9.85 cm

Instructions

Software Usage Instructions

Select known conditions: In the parameter combinations, choose an input method such as base radius plus height, base diameter plus height, base radius plus slant height, base circumference plus height, or base area plus height.
Enter parameter values: Fill in the length or area values according to the current input items. Radius, height, diameter, circumference, and slant height must use the same length unit.
Set calculation options: Select the length unit, number of decimal places, and value of pi; enable calculation steps, expanded parameters, and diagram labels as needed.
Use sample data: Click “Sample Data” to load a set of cone parameters to view the calculation format and result display.
Start calculation: Click “Calculate and View Results”, and the tool will output the cone volume, base area, lateral area, surface area, slant height, base circumference, and unit conversions.
Save and export: Click “Save Settings” to keep your current parameter preferences; on the results page, you can copy the results, copy formulas, or download the calculation report.

FAQ

A: Yes. The same set of cone parameters should use the same length unit, such as all centimeters or all meters, so the volume unit will correspond to cubic centimeters or cubic meters.

A: Select “Base Diameter + Height”. The tool will first convert the radius using r=d÷2, then calculate the volume by substituting it into V=(1/3)×π×r²×h.

A: Yes. After selecting a parameter combination that includes slant height, the tool will first find the height using h=√(l²-r²). Note that the slant height must be greater than the base radius.

A: Lateral area only calculates the curved surface of the cone, with the formula πrl; surface area includes both the base and the side, with the formula πr²+πrl.

A: For everyday study and checking homework, you can choose 3.14 or 3.1416; when you need more significant digits, you can choose Math.PI.

A: These are volume conversion results, useful for checking capacity estimates, material quantities, and different unit requirements.