Sphere Calculator

Enter the radius of a sphere to find its volume, surface area and diameter.

units

Volume
523.5988units³
Surface area

314.1593

Diameter

10

Formula
Volume = 4⁄3 × π × r³; Surface area = 4 × π × r²; Diameter = 2r
Examples
InputResult
radius = 5Volume ≈ 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.

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