Sphere Calculator

The volume of a sphere is calculated using V = (4/3) × π × r³, where r is the radius. For example, a sphere with radius 5 cm has a volume of approximately 523.6 cm³.

The surface area formula is A = 4 × π × r². Simply square the radius, multiply by π, and multiply by 4. A sphere with radius 5 cm has a surface area of about 314.16 cm².

The radius (r) is the distance from the center of the sphere to any point on its surface. The diameter (d) is the longest straight line passing through the center, connecting two opposite surface points. Diameter = 2 × radius.

Rearrange the volume formula: r = ∛(3V / 4π). Take the known volume V, multiply by 3, divide by 4π, then take the cube root. This calculator does that automatically when you select 'Volume' as the given value.

Use the rearranged surface area formula: r = √(A / 4π). Divide the surface area by 4π and take the square root. Select 'Surface Area' as the given value in this calculator to compute the radius and all other properties.

The circumference (C) of a sphere refers to the great circle circumference — the perimeter of the largest cross-sectional circle through the center. It is calculated as C = 2 × π × r, the same as the circumference of a circle with the same radius.

The numeric calculation is the same regardless of units — the unit selector simply labels your results correctly. If your radius is in centimetres, volume will be in cm³ and surface area in cm². Always make sure your input value matches the unit you select.

Yes. Select 'Diameter (d)' from the given value dropdown, enter your diameter, and the calculator will derive the radius (r = d/2) and then compute volume, surface area, and circumference automatically.