Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio Calculator

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

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✖Circumsphere Radius of Stellated Octahedron is the radius of the sphere that contains the Stellated Octahedron in such a way that all the vertices are lying on sphere.ⓘ Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio [r_c]

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Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron))
r_c = (sqrt(6)/4)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*R_A/V))
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

Circumsphere Radius of Stellated Octahedron - (Measured in Meter) - Circumsphere Radius of Stellated Octahedron is the radius of the sphere that contains the Stellated Octahedron in such a way that all the vertices are lying on sphere.
Surface to Volume Ratio of Stellated Octahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Stellated Octahedron is the numerical ratio of the total surface area of a Stellated Octahedron to the volume of the Stellated Octahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Stellated Octahedron: 1.4 1 per Meter --> 1.4 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = (sqrt(6)/4)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*R_A/V)) --> (sqrt(6)/4)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*1.4))

Evaluating ... ...

r_c = 6.42857142857143

STEP 3: Convert Result to Output's Unit

6.42857142857143 Meter --> No Conversion Required

FINAL ANSWER

6.42857142857143 ≈ 6.428571 Meter <-- Circumsphere Radius of Stellated Octahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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St Joseph's College (SJC), Bengaluru

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< Radius of Stellated Octahedron Calculators

Circumsphere Radius of Stellated Octahedron given Total Surface Area

LaTeX Go Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*(sqrt((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3))))

Circumsphere Radius of Stellated Octahedron given Volume

LaTeX Go Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*((8*Volume of Stellated Octahedron/sqrt(2))^(1/3))

Circumsphere Radius of Stellated Octahedron given Edge Length of Peaks

LaTeX Go Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*(2*Edge Length of Peaks of Stellated Octahedron)

Circumsphere Radius of Stellated Octahedron

LaTeX Go Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*Edge Length of Stellated Octahedron

Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio Formula

LaTeX Go

Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron))
r_c = (sqrt(6)/4)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*R_A/V))

What is Stellated Octahedron?

The Stellated Octahedron is the only stellation of the octahedron. It is also called the stella octangula, a name given to it by Johannes Kepler in 1609, though it was known to earlier geometers.
It is the simplest of five regular polyhedral compounds, and the only regular compound of two tetrahedra. It is also the least dense of the regular polyhedral compounds, having a density of 2.

How to Calculate Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio?

Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio calculator uses Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron)) to calculate the Circumsphere Radius of Stellated Octahedron, Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Stellated Octahedron in such a way that all the vertices are lying on sphere, calculated using its surface to volume ratio. Circumsphere Radius of Stellated Octahedron is denoted by r_c symbol.

How to calculate Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Stellated Octahedron (R_A/V) and hit the calculate button. Here is how the Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio calculation can be explained with given input values -> 6.428571 = (sqrt(6)/4)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*1.4)).

FAQ

What is Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio?

Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Stellated Octahedron in such a way that all the vertices are lying on sphere, calculated using its surface to volume ratio and is represented as r_c = (sqrt(6)/4)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*R_A/V)) or Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron)). Surface to Volume Ratio of Stellated Octahedron is the numerical ratio of the total surface area of a Stellated Octahedron to the volume of the Stellated Octahedron.

How to calculate Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio?

Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Stellated Octahedron in such a way that all the vertices are lying on sphere, calculated using its surface to volume ratio is calculated using Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*(((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron)). To calculate Circumsphere Radius of Stellated Octahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Stellated Octahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Stellated Octahedron 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 Circumsphere Radius of Stellated Octahedron?

In this formula, Circumsphere Radius of Stellated Octahedron uses Surface to Volume Ratio of Stellated Octahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*Edge Length of Stellated Octahedron
Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*(2*Edge Length of Peaks of Stellated Octahedron)
Circumsphere Radius of Stellated Octahedron = (sqrt(6)/4)*(sqrt((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3))))

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