Volume of Sphere given Surface to Volume Ratio Calculator

Calculate Volume



Formula

The formula to calculate the Volume of a Sphere (\(V\)) is:

\[ V = \frac{4}{3} \pi \left(\frac{3}{RA/V}\right)^3 \]

Where:

Definition

The Volume of a Sphere is the total quantity of three-dimensional space enclosed by the surface of the Sphere.

The Surface to Volume Ratio of a Sphere is the numerical ratio of the surface area of a Sphere to the volume of the Sphere.

How to calculate Volume of a Sphere given Surface to Volume Ratio

Let's assume the following value:

Using the formula:

\[ V = \frac{4}{3} \pi \left(\frac{3}{RA/V}\right)^3 \]

Evaluating:

\[ V = \frac{4}{3} \pi \left(\frac{3}{0.3}\right)^3 \]

The Volume is 4188.7902 m³.

Volume Conversion Chart

Surface to Volume Ratio (1/m) Volume (m³)
0.1 113,097.3355
0.2 14,137.1669
0.3 4,188.7902
0.4 1,767.1459
0.5 904.7787
0.6 523.5988
0.7 329.7298
0.8 220.8932
0.9 155.1404
1 113.0973