Sphere Calculator
Enter the radius of a sphere to find its volume, surface area and diameter.
units
- 1
Radius squared
5² = 25 - 2
Radius cubed
5³ = 125 - 3
Volume = 4 ÷ 3 × π × r³
4 ÷ 3 × π × 125 = 523.5988The factor 4⁄3 × π ≈ 4.1888, so the volume grows with the cube of the radius.
Formula
How this is calculated
A sphere is fully described by a single measurement: the radius r, the distance from its centre to any point on its surface. Every result here is derived from r alone, in whatever single unit you type — the calculator never assumes inches, metres or anything else.
Volume is 4⁄3 × π × r³: it scales with the cube of the radius and comes out in your unit cubed, with π (≈ 3.14159) the constant linking a circle to its area. Surface area is 4 × π × r², the area of the curved skin, in your unit squared — notably exactly four times the area of the sphere's great circle (π r²). The diameter, the longest straight line through the centre, is simply 2r in your original length unit. Because volume grows as r³ and surface as r², doubling the radius multiplies volume by eight but surface by only four.
The radius must be a positive number; zero or a negative value returns no result. The bar chart compares three characteristic lengths in the same unit — radius, diameter and the great-circle circumference (π × d). Results are rounded to four decimals, so any value involving π is an approximation, and the model treats the sphere as a perfect, ideal solid.
Examples
| Input | Result |
|---|---|
| radius = 5 | Volume ≈ 523.5988, Surface ≈ 314.1593, Diameter = 10 |
About this calculator
A sphere is the set of all points in three-dimensional space that lie a fixed distance (the radius) from a central point. It is the most symmetric solid and, for a given surface area, encloses the maximum possible volume — which is why bubbles and droplets are spherical.
The volume grows with the cube of the radius (4⁄3 πr³), while the surface area grows with the square (4πr²). Doubling the radius therefore multiplies the volume by eight and the surface area by four.
Frequently asked questions
Volume = 4⁄3 × π × r³, where r is the radius. For a radius of 5, the volume is about 523.60 cubic units.
Surface area scales with r² while volume scales with r³, so larger spheres have proportionally less surface area per unit of volume.
The radius is half the diameter (r = d ÷ 2). If you only know the diameter, divide it by two before using the other formulas.
Also known as
TG we-Calculate Editorial Team. (2026). Sphere Calculator [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/sphere-calculator
TG we-Calculate Editorial Team. "Sphere Calculator." TG we-Calculate. 2026. https://we-calculate.com/calculator/sphere-calculator.
TG we-Calculate Editorial Team, "Sphere Calculator," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/sphere-calculator
@misc{wecalculate_sphere_calculator, title = {Sphere Calculator}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/sphere-calculator}}, year = {2026}, note = {TG we-Calculate} }
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