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3D Geometry Calculator

Sphere Calculator

Calculate the volume, surface area, diameter and circumference of a sphere using its radius, diameter or circumference.

Enter Sphere Details

Choose a known measurement and enter its value to calculate all other sphere dimensions.

Decimals are supported, for example 7.5.

Sphere Results

Your calculated values will appear below.

Volume 0 cm³
Surface Area 0 cm²
Diameter 0 cm
Circumference 0 cm
Radius 0 cm
Formula: Volume = (4 ÷ 3) × π × radius³

What Is a Sphere Calculator?

A sphere calculator is a geometry tool that calculates the important measurements of a perfectly round three-dimensional object. It can determine a sphere's radius, diameter, circumference, surface area and volume.

You only need to provide one known measurement. The calculator then converts that value into the radius and uses standard geometry formulas to calculate the remaining results.

  • Calculate a sphere using radius, diameter or circumference.
  • Get volume and surface area results instantly.
  • Use millimeters, centimeters, meters, inches, feet or yards.
  • View results with suitable square and cubic units.

How to Use the Sphere Calculator

  1. Select the known measurement Choose radius, diameter or circumference.
  2. Choose a unit Select the measurement unit used for your value.
  3. Enter the measurement Type a positive whole number or decimal value.
  4. Calculate the sphere Click the calculate button to view all results.

Sphere Formulas

The calculator first determines the radius because all major sphere formulas can be calculated from it.

Sphere volume formula
V = (4/3)πr³
Sphere surface area formula
A = 4πr²
Sphere diameter formula
d = 2r
Sphere circumference formula
C = 2πr

In these formulas, r represents radius, d represents diameter, C represents circumference and π is approximately 3.14159.

Sphere Calculation Example

Suppose a sphere has a radius of 5 centimeters. Its diameter is 10 centimeters, and its circumference is approximately 31.416 centimeters.

Its surface area is approximately 314.159 cm², while its volume is approximately 523.599 cm³.

Common Uses

Sphere calculations are useful in mathematics, engineering, manufacturing, architecture, physics and product design. They can also help estimate the capacity or external area of spherical tanks, balls and rounded objects.

Frequently Asked Questions

It calculates radius, diameter, circumference, surface area and volume from one known sphere measurement.

Yes. Select diameter as the known measurement and enter its value. The calculator divides the diameter by two to determine the radius.

Sphere volume is calculated using V = (4/3)πr³, where r is the radius of the sphere.

Volume measures three-dimensional space, so its unit is cubed. For example, a radius entered in centimeters produces volume in cubic centimeters.

Surface area measures the two-dimensional area covering the sphere's exterior, so it is displayed in square units such as cm² or m².

Yes. You can enter decimal values such as 2.5, 7.75 or 12.125 for more precise sphere calculations.