Circumsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio Calculator

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

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

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Circumsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2))))
r_c = sqrt(5+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(R_A/V*(6+(5*sqrt(2))))
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 Rhombicuboctahedron - (Measured in Meter) - Circumsphere Radius of Rhombicuboctahedron is the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere.
Surface to Volume Ratio of Rhombicuboctahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Rhombicuboctahedron is the numerical ratio of the total surface area of a Rhombicuboctahedron to the volume of the Rhombicuboctahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Rhombicuboctahedron: 0.3 1 per Meter --> 0.3 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(5+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(R_A/V*(6+(5*sqrt(2)))) --> sqrt(5+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(0.3*(6+(5*sqrt(2))))

Evaluating ... ...

r_c = 11.4862671546353

STEP 3: Convert Result to Output's Unit

11.4862671546353 Meter --> No Conversion Required

FINAL ANSWER

11.4862671546353 ≈ 11.48627 Meter <-- Circumsphere Radius of Rhombicuboctahedron

(Calculation completed in 00.004 seconds)

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< Circumsphere Radius of Rhombicuboctahedron Calculators

Circumsphere Radius of Rhombicuboctahedron given Total Surface Area

LaTeX Go Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))

Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius

LaTeX Go Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))*Midsphere Radius of Rhombicuboctahedron/(sqrt(4+(2*sqrt(2))))

Circumsphere Radius of Rhombicuboctahedron given Volume

LaTeX Go Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)

Circumsphere Radius of Rhombicuboctahedron

LaTeX Go Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron

Circumsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio Formula

LaTeX Go

What is a Rhombicuboctahedron?

In geometry, the Rhombicuboctahedron, or small Rhombicuboctahedron, is an Archimedean solid with 8 triangular and 18 square faces. There are 24 identical vertices, with one triangle and three squares meeting at each one. The polyhedron has octahedral symmetry, like the cube and octahedron. Its dual is called the deltoidal icositetrahedron or trapezoidal icositetrahedron, although its faces are not really true trapezoids.

How to Calculate Circumsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio?

Circumsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio calculator uses Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))) to calculate the Circumsphere Radius of Rhombicuboctahedron, Circumsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere, and calculated using the surface to volume ratio of the Rhombicuboctahedron. Circumsphere Radius of Rhombicuboctahedron is denoted by r_c symbol.

How to calculate Circumsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Circumsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Rhombicuboctahedron (R_A/V) and hit the calculate button. Here is how the Circumsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio calculation can be explained with given input values -> 11.48627 = sqrt(5+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(0.3*(6+(5*sqrt(2)))).

FAQ

What is Circumsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio?

Circumsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere, and calculated using the surface to volume ratio of the Rhombicuboctahedron and is represented as r_c = sqrt(5+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(R_A/V*(6+(5*sqrt(2)))) or Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))). Surface to Volume Ratio of Rhombicuboctahedron is the numerical ratio of the total surface area of a Rhombicuboctahedron to the volume of the Rhombicuboctahedron.

How to calculate Circumsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio?

Circumsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere, and calculated using the surface to volume ratio of the Rhombicuboctahedron is calculated using Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))). To calculate Circumsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Rhombicuboctahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Rhombicuboctahedron 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 Rhombicuboctahedron?

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

Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron
Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))
Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)

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