Sphere Volume Calculator

Online sphere volume calculator, supports radius and diameter input and dynamic 3D sphere display, including surface area and circumference calculation functions

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 known values, units, and precision before calculating. Use any one of radius, diameter, circumference, surface area, or volume to find other sphere values.

Parameter Settings Choose one known value; units auto-match length, area, or volume.

Known Radius

Radius r Diameter d = 2r Circumference C = 2πr Surface Area A = 4πr² Volume V = 4/3πr³

Radius Value

Enter a radius greater than 0.

Base Unit Area and volume use this unit squared or cubed automatically.

Result Precision Used for results, formula steps, and exported data.

π Value Settings Choose different π values for teaching approximations or engineering estimates.

Custom π Enter a value between 3 and 3.2.

Mass estimate (optional) Enter density to estimate mass from volume; leave blank to calculate geometry only.

Density kg/m³

Sample data

Drag to rotate Scroll to zoom r = 6 cm

Results Current results are based on the default example.

Copyable

Sphere volume -

Radius -

Diameter -

Surface Area -

Great circle circumference -

Hemisphere volume -

Surface area/volume ratio -

Mass estimate Not set

Formulas & steps Automatically switches inverse formulas based on the known value, making the calculation steps easy to check.

π = Math.PI

VolumeV = (4/3)πr³

Surface AreaA = 4πr²

Diameterd = 2r

Great circle circumferenceC = 2πr

Surface-to-volume ratioA / V = 3 / r

Instructions

Software Usage Instructions

Select a known parameter: Choose one known value from radius, diameter, circumference, surface area, or volume.
Enter the value and unit: Fill in the corresponding value and select a basic unit such as millimeters, centimeters, meters, kilometers, inches, feet, or yards.
Set calculation options: Adjust the result precision and π value as needed; to estimate mass, enter the material density or use the water, steel, or aluminum examples.
Load example data: Click examples such as tennis ball, basketball, baseball, or approximate Earth to quickly view the calculation results.
Start calculation: Click “Calculate and View Results”; the tool will output volume, radius, diameter, surface area, great circle circumference, hemisphere volume, and surface-area-to-volume ratio.
Save and export: Save the current settings, copy the volume or full results report, or download a CSV file for record keeping.

Frequently Asked Questions

A: Select “Diameter” mode and enter the diameter. The tool first calculates the radius using r=d/2, then substitutes it into V=(4/3)πr³ to calculate the volume.

A: Yes. After selecting “Surface Area” mode, the tool uses r=√(A/4π) to derive the radius, then continues calculating the volume, diameter, and circumference.

A: Here, circumference refers to the great circle circumference of the sphere, which is the circumference of a cross-sectional circle passing through the sphere’s center. The formula is C=2πr.

A: Volume units are the cube of length units, while area units are the square of length units. For example, 1 m³ equals 1,000,000 cm³, so the numerical value changes significantly when converting units.

A: Enter the material density in kg/m³. The tool will estimate the result using “Mass = Volume × Density”; if no density is entered, only the geometric parameters will be calculated.