Midsphere Radius of Rhombicosidodecahedron given Volume Calculator

✖Volume of Rhombicosidodecahedron is the total quantity of three dimensional space enclosed by the surface of the Rhombicosidodecahedron.ⓘ Volume of Rhombicosidodecahedron [V]

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✖Midsphere Radius of Rhombicosidodecahedron is the radius of the sphere for which all the edges of the Rhombicosidodecahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Rhombicosidodecahedron given Volume [r_m]

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Midsphere Radius of Rhombicosidodecahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))/2*((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(1/3)
r_m = sqrt(10+(4*sqrt(5)))/2*((3*V)/(60+(29*sqrt(5))))^(1/3)
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

Midsphere Radius of Rhombicosidodecahedron - (Measured in Meter) - Midsphere Radius of Rhombicosidodecahedron is the radius of the sphere for which all the edges of the Rhombicosidodecahedron become a tangent line on that sphere.
Volume of Rhombicosidodecahedron - (Measured in Cubic Meter) - Volume of Rhombicosidodecahedron is the total quantity of three dimensional space enclosed by the surface of the Rhombicosidodecahedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Rhombicosidodecahedron: 42000 Cubic Meter --> 42000 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = sqrt(10+(4*sqrt(5)))/2*((3*V)/(60+(29*sqrt(5))))^(1/3) --> sqrt(10+(4*sqrt(5)))/2*((3*42000)/(60+(29*sqrt(5))))^(1/3)

Evaluating ... ...

r_m = 21.8293582237216

STEP 3: Convert Result to Output's Unit

21.8293582237216 Meter --> No Conversion Required

FINAL ANSWER

21.8293582237216 ≈ 21.82936 Meter <-- Midsphere Radius of Rhombicosidodecahedron

(Calculation completed in 00.004 seconds)

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< Midsphere Radius of Rhombicosidodecahedron Calculators

Midsphere Radius of Rhombicosidodecahedron given Total Surface Area

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

Midsphere Radius of Rhombicosidodecahedron given Circumsphere Radius

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

Midsphere Radius of Rhombicosidodecahedron given Volume

LaTeX Go Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))/2*((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(1/3)

Midsphere Radius of Rhombicosidodecahedron

LaTeX Go Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))/2*Edge Length of Rhombicosidodecahedron

Midsphere Radius of Rhombicosidodecahedron given Volume Formula

LaTeX Go

Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))/2*((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(1/3)
r_m = sqrt(10+(4*sqrt(5)))/2*((3*V)/(60+(29*sqrt(5))))^(1/3)

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 Midsphere Radius of Rhombicosidodecahedron given Volume?

Midsphere Radius of Rhombicosidodecahedron given Volume calculator uses Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))/2*((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(1/3) to calculate the Midsphere Radius of Rhombicosidodecahedron, Midsphere Radius of Rhombicosidodecahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Rhombicosidodecahedron become a tangent line on that sphere, and calculated using the volume of the Rhombicosidodecahedron. Midsphere Radius of Rhombicosidodecahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Rhombicosidodecahedron given Volume using this online calculator? To use this online calculator for Midsphere Radius of Rhombicosidodecahedron given Volume, enter Volume of Rhombicosidodecahedron (V) and hit the calculate button. Here is how the Midsphere Radius of Rhombicosidodecahedron given Volume calculation can be explained with given input values -> 21.82936 = sqrt(10+(4*sqrt(5)))/2*((3*42000)/(60+(29*sqrt(5))))^(1/3).

FAQ

What is Midsphere Radius of Rhombicosidodecahedron given Volume?

Midsphere Radius of Rhombicosidodecahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Rhombicosidodecahedron become a tangent line on that sphere, and calculated using the volume of the Rhombicosidodecahedron and is represented as r_m = sqrt(10+(4*sqrt(5)))/2*((3*V)/(60+(29*sqrt(5))))^(1/3) or Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))/2*((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(1/3). Volume of Rhombicosidodecahedron is the total quantity of three dimensional space enclosed by the surface of the Rhombicosidodecahedron.

How to calculate Midsphere Radius of Rhombicosidodecahedron given Volume?

Midsphere Radius of Rhombicosidodecahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Rhombicosidodecahedron become a tangent line on that sphere, and calculated using the volume of the Rhombicosidodecahedron is calculated using Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))/2*((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(1/3). To calculate Midsphere Radius of Rhombicosidodecahedron given Volume, you need Volume of Rhombicosidodecahedron (V). With our tool, you need to enter the respective value for Volume 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 Midsphere Radius of Rhombicosidodecahedron?

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

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

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