Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio Calculator

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

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

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Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*(3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Rhombicosidodecahedron*(60+(29*sqrt(5))))
r_c = sqrt(11+(4*sqrt(5)))/2*(3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(R_A/V*(60+(29*sqrt(5))))
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 Rhombicosidodecahedron - (Measured in Meter) - Circumsphere Radius of Rhombicosidodecahedron is the radius of the sphere that contains the Rhombicosidodecahedron in such a way that all the vertices are lying on the sphere.
Surface to Volume Ratio of Rhombicosidodecahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Rhombicosidodecahedron is the numerical ratio of the total surface area of a Rhombicosidodecahedron to the volume of the Rhombicosidodecahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Rhombicosidodecahedron: 0.1 1 per Meter --> 0.1 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(11+(4*sqrt(5)))/2*(3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(R_A/V*(60+(29*sqrt(5)))) --> sqrt(11+(4*sqrt(5)))/2*(3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(0.1*(60+(29*sqrt(5))))

Evaluating ... ...

r_c = 31.8217696195455

STEP 3: Convert Result to Output's Unit

31.8217696195455 Meter --> No Conversion Required

FINAL ANSWER

31.8217696195455 ≈ 31.82177 Meter <-- Circumsphere Radius of Rhombicosidodecahedron

(Calculation completed in 00.004 seconds)

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< Circumsphere Radius of Rhombicosidodecahedron Calculators

Circumsphere Radius of Rhombicosidodecahedron given Total Surface Area

LaTeX Go Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*sqrt(Total Surface Area of Rhombicosidodecahedron/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))

Circumsphere Radius of Rhombicosidodecahedron given Midsphere Radius

LaTeX Go Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))*(Midsphere Radius of Rhombicosidodecahedron)/(sqrt(10+(4*sqrt(5))))

Circumsphere Radius of Rhombicosidodecahedron given Volume

LaTeX Go Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(1/3)

Circumsphere Radius of Rhombicosidodecahedron

LaTeX Go Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*Edge Length of Rhombicosidodecahedron

Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio Formula

LaTeX Go

What is a Rhombicosidodecahedron?

In geometry, the Rhombicosidodecahedron, is an Archimedean solid, one of the 13 convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces. It has 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, 60 vertices, and 120 edges. If you expand an icosahedron by moving the faces away from the origin the right amount, without changing the orientation or size of the faces, and do the same to its dual dodecahedron, and patch the square holes in the result, you get a Rhombicosidodecahedron. Therefore, it has the same number of triangles as an icosahedron and the same number of pentagons as a dodecahedron, with a square for each edge of either.

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

Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio calculator uses Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*(3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Rhombicosidodecahedron*(60+(29*sqrt(5)))) to calculate the Circumsphere Radius of Rhombicosidodecahedron, Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Rhombicosidodecahedron in such a way that all the vertices are lying on the sphere, and calculated using the surface to volume ratio of the Rhombicosidodecahedron. Circumsphere Radius of Rhombicosidodecahedron is denoted by r_c symbol.

How to calculate Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Rhombicosidodecahedron (R_A/V) and hit the calculate button. Here is how the Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio calculation can be explained with given input values -> 31.82177 = sqrt(11+(4*sqrt(5)))/2*(3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(0.1*(60+(29*sqrt(5)))).

FAQ

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

Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Rhombicosidodecahedron in such a way that all the vertices are lying on the sphere, and calculated using the surface to volume ratio of the Rhombicosidodecahedron and is represented as r_c = sqrt(11+(4*sqrt(5)))/2*(3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(R_A/V*(60+(29*sqrt(5)))) or Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*(3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Rhombicosidodecahedron*(60+(29*sqrt(5)))). Surface to Volume Ratio of Rhombicosidodecahedron is the numerical ratio of the total surface area of a Rhombicosidodecahedron to the volume of the Rhombicosidodecahedron.

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

Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Rhombicosidodecahedron in such a way that all the vertices are lying on the sphere, and calculated using the surface to volume ratio of the Rhombicosidodecahedron is calculated using Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*(3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Rhombicosidodecahedron*(60+(29*sqrt(5)))). To calculate Circumsphere Radius of Rhombicosidodecahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Rhombicosidodecahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Rhombicosidodecahedron 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 Rhombicosidodecahedron?

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

Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*Edge Length of Rhombicosidodecahedron
Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*sqrt(Total Surface Area of Rhombicosidodecahedron/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
Circumsphere Radius of Rhombicosidodecahedron = sqrt(11+(4*sqrt(5)))/2*((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(1/3)

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