Volume of Sphenocorona given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Sphenocorona is the numerical ratio of the total surface area of a Sphenocorona to the volume of the Sphenocorona.ⓘ Surface to Volume Ratio of Sphenocorona [R_A/V]

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✖Volume of Sphenocorona is the total quantity of three-dimensional space enclosed by the surface of the Sphenocorona.ⓘ Volume of Sphenocorona given Surface to Volume Ratio [V]

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Formula

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Volume of Sphenocorona given Surface to Volume Ratio

Formula

`"V" = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*"R"_{"A/V"}))^3`

Example

`"1298.268m³"=1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*"0.5m⁻¹"))^3`

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Volume of Sphenocorona given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Sphenocorona = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Surface to Volume Ratio of Sphenocorona))^3
V = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*R_A/V))^3
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Volume of Sphenocorona - (Measured in Cubic Meter) - Volume of Sphenocorona is the total quantity of three-dimensional space enclosed by the surface of the Sphenocorona.
Surface to Volume Ratio of Sphenocorona - (Measured in 1 per Meter) - Surface to Volume Ratio of Sphenocorona is the numerical ratio of the total surface area of a Sphenocorona to the volume of the Sphenocorona.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Sphenocorona: 0.5 1 per Meter --> 0.5 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*R_A/V))^3 --> 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*0.5))^3

Evaluating ... ...

V = 1298.26754734746

STEP 3: Convert Result to Output's Unit

1298.26754734746 Cubic Meter --> No Conversion Required

FINAL ANSWER

1298.26754734746 ≈ 1298.268 Cubic Meter <-- Volume of Sphenocorona

(Calculation completed in 00.004 seconds)

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< 3 Volume of Sphenocorona Calculators

Volume of Sphenocorona given Surface to Volume Ratio

Go Volume of Sphenocorona = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Surface to Volume Ratio of Sphenocorona))^3

Volume of Sphenocorona given Total Surface Area

Go Volume of Sphenocorona = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*(sqrt(Total Surface Area of Sphenocorona/(2+(3*sqrt(3)))))^3

Volume of Sphenocorona

Go Volume of Sphenocorona = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Edge Length of Sphenocorona^3

Volume of Sphenocorona given Surface to Volume Ratio Formula

What is a Sphenocorona?

A Sphenocorona is a closed polyhedron, which is the Johnson solid generally denoted by J86. It consists of 14 faces which include 12 (2+2+4+4) equilateral triangles and 2 squares. Also, It has 22 edges and 10 vertices.

How to Calculate Volume of Sphenocorona given Surface to Volume Ratio?

Volume of Sphenocorona given Surface to Volume Ratio calculator uses Volume of Sphenocorona = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Surface to Volume Ratio of Sphenocorona))^3 to calculate the Volume of Sphenocorona, The Volume of Sphenocorona given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Sphenocorona and is calculated using the surface to volume ratio of the Sphenocorona. Volume of Sphenocorona is denoted by V symbol.

How to calculate Volume of Sphenocorona given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume of Sphenocorona given Surface to Volume Ratio, enter Surface to Volume Ratio of Sphenocorona (R_A/V) and hit the calculate button. Here is how the Volume of Sphenocorona given Surface to Volume Ratio calculation can be explained with given input values -> 1298.268 = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*0.5))^3.

FAQ

What is Volume of Sphenocorona given Surface to Volume Ratio?

The Volume of Sphenocorona given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Sphenocorona and is calculated using the surface to volume ratio of the Sphenocorona and is represented as V = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*R_A/V))^3 or Volume of Sphenocorona = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Surface to Volume Ratio of Sphenocorona))^3. Surface to Volume Ratio of Sphenocorona is the numerical ratio of the total surface area of a Sphenocorona to the volume of the Sphenocorona.

How to calculate Volume of Sphenocorona given Surface to Volume Ratio?

The Volume of Sphenocorona given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Sphenocorona and is calculated using the surface to volume ratio of the Sphenocorona is calculated using Volume of Sphenocorona = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Surface to Volume Ratio of Sphenocorona))^3. To calculate Volume of Sphenocorona given Surface to Volume Ratio, you need Surface to Volume Ratio of Sphenocorona (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Sphenocorona and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume of Sphenocorona?

In this formula, Volume of Sphenocorona uses Surface to Volume Ratio of Sphenocorona. We can use 2 other way(s) to calculate the same, which is/are as follows -

Volume of Sphenocorona = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Edge Length of Sphenocorona^3
Volume of Sphenocorona = 1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*(sqrt(Total Surface Area of Sphenocorona/(2+(3*sqrt(3)))))^3

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