Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio Calculator

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

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

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Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*Surface to Volume Ratio of Truncated Rhombohedron*(5/3)*(sqrt(sqrt(5)-2))))
r_c = ((sqrt(14-(2*sqrt(5))))/4)*(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*R_A/V*(5/3)*(sqrt(sqrt(5)-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 Truncated Rhombohedron - (Measured in Meter) - Circumsphere Radius of Truncated Rhombohedron is the radius of the sphere that contains the Truncated Rhombohedron in such a way that all the vertices are lying on the sphere.
Surface to Volume Ratio of Truncated Rhombohedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Truncated Rhombohedron is the numerical ratio of the total surface area of a Truncated Rhombohedron to the volume of the Truncated Rhombohedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Truncated Rhombohedron: 0.2 1 per Meter --> 0.2 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = ((sqrt(14-(2*sqrt(5))))/4)*(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*R_A/V*(5/3)*(sqrt(sqrt(5)-2)))) --> ((sqrt(14-(2*sqrt(5))))/4)*(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*0.2*(5/3)*(sqrt(sqrt(5)-2))))

Evaluating ... ...

r_c = 24.1747854612163

STEP 3: Convert Result to Output's Unit

24.1747854612163 Meter --> No Conversion Required

FINAL ANSWER

24.1747854612163 ≈ 24.17479 Meter <-- Circumsphere Radius of Truncated Rhombohedron

(Calculation completed in 00.020 seconds)

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< Radius of Truncated Rhombohedron Calculators

Circumsphere Radius of Truncated Rhombohedron given Total Surface Area

LaTeX Go Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((2*Total Surface Area of Truncated Rhombohedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))))

Circumsphere Radius of Truncated Rhombohedron given Triangular Edge Length

LaTeX Go Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))

Circumsphere Radius of Truncated Rhombohedron

LaTeX Go Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(2*Edge Length of Truncated Rhombohedron/(3-sqrt(5)))

Circumsphere Radius of Truncated Rhombohedron given Rhombohedral Edge Length

LaTeX Go Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*Rhombohedral Edge Length of Truncated Rhombohedron

Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio Formula

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What is Truncated Rhombohedron?

The Truncated Rhombohedron is a convex, octahedral polyhedron. It is made up of six equal, irregular, but axially symmetrical pentagons and two equilateral triangles. It has twelve corners; three faces meet at each corner (a triangle and two pentagons or three pentagons). All corner points lie on the same sphere. Opposite faces are parallel. In the stitch, the body stands on a triangular surface, the pentagons virtually form the surface. The number of edges is eighteen.

How to Calculate Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio?

Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio calculator uses Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*Surface to Volume Ratio of Truncated Rhombohedron*(5/3)*(sqrt(sqrt(5)-2)))) to calculate the Circumsphere Radius of Truncated Rhombohedron, Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Truncated Rhombohedron in such a way that all the vertices are lying on the sphere, calculated using its surface to volume ratio. Circumsphere Radius of Truncated Rhombohedron is denoted by r_c symbol.

How to calculate Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Truncated Rhombohedron (R_A/V) and hit the calculate button. Here is how the Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio calculation can be explained with given input values -> 24.17479 = ((sqrt(14-(2*sqrt(5))))/4)*(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*0.2*(5/3)*(sqrt(sqrt(5)-2)))).

FAQ

What is Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio?

Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Truncated Rhombohedron in such a way that all the vertices are lying on the sphere, calculated using its surface to volume ratio and is represented as r_c = ((sqrt(14-(2*sqrt(5))))/4)*(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*R_A/V*(5/3)*(sqrt(sqrt(5)-2)))) or Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*Surface to Volume Ratio of Truncated Rhombohedron*(5/3)*(sqrt(sqrt(5)-2)))). Surface to Volume Ratio of Truncated Rhombohedron is the numerical ratio of the total surface area of a Truncated Rhombohedron to the volume of the Truncated Rhombohedron.

How to calculate Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio?

Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Truncated Rhombohedron in such a way that all the vertices are lying on the sphere, calculated using its surface to volume ratio is calculated using Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*Surface to Volume Ratio of Truncated Rhombohedron*(5/3)*(sqrt(sqrt(5)-2)))). To calculate Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Truncated Rhombohedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Truncated Rhombohedron 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 Truncated Rhombohedron?

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

Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*Rhombohedral Edge Length of Truncated Rhombohedron
Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(2*Edge Length of Truncated Rhombohedron/(3-sqrt(5)))
Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))

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