MihsabaSphere Calculator

Sphere Calculator

Enter a radius or diameter to get sphere volume, surface area, great-circle circumference and great-circle area with correct unit powers.

How to use

One measurement such as radius or diameter determines all core properties of a sphere. The calculator first normalizes the input to radius, then derives volume, surface area, great-circle circumference and great-circle area using full floating-point π.

  1. Choose whether the known value is radius or diameter.
  2. Enter a positive value and choose a length unit.
  3. Calculate; the input is normalized to radius.
  4. Read volume, surface area and great-circle measurements with the correct units.

How it is calculated

V = 4πr³/3; S = 4πr²; C = 2πr

Example

For radius 3 cm, diameter is 6 cm, surface area is 36π ≈ 113.097 cm², volume is also 36π ≈ 113.097 cm³, and great-circle circumference is 6π ≈ 18.850 cm.

Important notes

Volume uses the cubic length unit and surface area the squared unit. This models an ideal geometric sphere; a real object that is not perfectly spherical, or a tank with wall thickness, needs additional modeling.

Frequently asked questions

What is the difference between a circle and a sphere?

A circle is 2D; a sphere is a 3D solid with volume and surface area.

Why does volume grow so quickly with radius?

Because volume scales with r³, while surface area scales with r².

Can I enter diameter directly?

Yes. Choose diameter and the calculator divides it by two to get radius.

Is this calculator free?

Yes. It is free to use and requires no account.