# Sphere Calc: find V, A, d

Sphere calc is an advanced tool that finds the volume, area and diameter of a sphere. Enter one of your selected quantities to calculate other parameters or read the article below to learn about all the equations we have used. The notation is as follows:

**r**- radius of a sphere,**V**- volume of a sphere (sphere calc: find V),**A**- area of a sphere (sphere calc: find A),**d**- diameter of a sphere (sphere calc: find d),**A / V**- surface to volume ratio of a sphere.

A sphere is defined as a set of points in three-dimensional space, that are all at the same distance from a given point, which is called the center. Sphere is widely used in physics to model different objects, like spherical capacitors or atoms of a gas. You should also check out our spherical coordinates calculator and see how you can use a sphere to describe the position of any given point in a 3D space.

## Sphere calc: find V

The volume of a sphere **V** is the space enclosed by a sphere, for example, the space that a substance (solid, liquid or gas) can occupy. Its value is expressed in cubic units of length, e.g., cubic meters `m³`

or cubic feet `cu ft`

. Try our volume conversion to learn how to convert between different volume units. The volume of a sphere can be found with the following equations:

- With given
**radius**:`V = 4/3 * π * r³`

, - With given
**diameter**:`V = 1/6 * π * d³`

, - With given
**area**:`V = √(A³ / (36 * π))`

.

## Sphere calc: find A

The surface area of a sphere **A** is a measure of the total area that the surface of a sphere occupies. Its value is expressed in squared units of length, e.g., square meters `m²`

or square feet `ft²`

. Check out area conversion calculator to learn how to convert between different area units! The surface area of a sphere can be found with the following equations:

- With given
**radius**:`A = 4 * π * r²`

, - With given
**diameter**:`A = π * d²`

, - With given
**volume**:`A = ³√(36 * π * V²)`

.

## Sphere calc: find d

The diameter of a sphere **d** is the longest straight line through a sphere, connecting two points of a sphere and passing through its center. The diameter is twice the radius. Diameter, just like radius, is expressed in units of length, e.g., meters `m`

or feet `ft`

. With our length conversion calculator you can quickly convert between different units of length. The diameter of a sphere can be found with the following equations:

- With given
**radius**:`d = 2 * r`

, - With given
**diameter**:`d = √(A / π)`

, - With given
**volume**:`d = ³√(6 * V / π)`

.

## Surface to volume ratio

The interesting fact is that **the sphere encloses the largest volume among all other closed surfaces** with a given surface area. In other words, the surface to volume ratio `A / V`

of a sphere is relatively high compared to other figures. You can easily find an explicit formula for the surface to volume ratio, knowing that the area is `A = 4 * π * r²`

and the volume is `V = 4/3 * π * r³`

:

`A / V = (4 * π * r²)/(4/3 * π * r³) = 3 / r`

or, if we know that radius is half of diameter `r = d / 2`

, then

`A / V = 6 / d`

You can estimate this quantity with our sphere calc too!