Sphere Calculator
Calculate all properties of a sphere from a single known measurement. Enter the radius, diameter, volume, or surface area, and instantly get all other values including the great circle circumference.
A sphere is a perfectly round three-dimensional object where every point on its surface is equidistant from the center. Spheres have the minimum surface area for a given volume, making them appear frequently in nature.
Sphere Formulas:
- Volume: V = (4/3) x pi x r^3
- Surface Area: SA = 4 x pi x r^2
- Diameter: d = 2r
- Great Circle Circumference: C = 2 x pi x r
Working Backwards:
From volume: r = (3V / (4pi))^(1/3). From surface area: r = sqrt(SA / (4pi)).
Spheres are found in nature (planets, bubbles, water droplets), engineering (ball bearings, domes, tanks), and sports (balls of all kinds). The Earth, while not a perfect sphere, is often modeled as one for calculations.