Sphere Calculator – Surface Area, Volume & Equation

Sphere Surface Area & Volume Calculator S = 4πR²

The sphere tab finds the surface area, the volume and the cross-section radius. The Oxyz tab writes the equation from the center and radius, or recovers the center and radius from an expanded equation.

The calculator above computes the surface area and volume of a sphere and writes its equation in the Oxyz coordinate system.

Formulas used

S = 4πR², V = (4/3)πR³
(x − a)² + (y − b)² + (z − c)² = R²
  • I(a; b; c) is the center of the sphere.

Worked example

R = 3:

S = 36π, V = 36π

Enter the same values in the calculator above to see every step of the solution.

How to use the calculator

  1. Enter the radius, or the center and radius for the equation.
  2. Press the calculate button. The result appears instantly.
  3. Read the step-by-step solution, rendered with KaTeX, to check your own work.