Surface Area of Sphere given Surface to Volume Ratio Calculator

Formula

The formula to calculate the Surface Area of Sphere (SA) is:

\[ SA = \frac{36 \cdot \pi}{(RA/V)^2} \]

Where:

\(SA\) is the Surface Area of Sphere (measured in square meters).
\(RA/V\) is the Surface to Volume Ratio of Sphere (measured in 1 per meter).

Definition

Surface Area of Sphere is the total quantity of two-dimensional space enclosed by the spherical surface.

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

How to calculate Surface Area of Sphere

Let's assume the following values:

Surface to Volume Ratio of Sphere (RA/V) = 0.3 1/m

Using the formula:

\[ SA = \frac{36 \cdot \pi}{(0.3)^2} \]

Evaluating:

\[ SA \approx 1256.6371 \, \text{square meters} \]

The Surface Area of Sphere is approximately 1256.6371 square meters.

Conversion Chart

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Surface to Volume Ratio (RA/V) (1/m)	Surface Area (SA) (square meters)