Circumsphere Radius of Icosidodecahedron given Surface to Volume Ratio Calculator

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

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

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Circumsphere Radius of Icosidodecahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))*(3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Icosidodecahedron*(45+(17*sqrt(5))))
r_c = (1+sqrt(5))*(3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(R_A/V*(45+(17*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 Icosidodecahedron - (Measured in Meter) - Circumsphere Radius of Icosidodecahedron is the radius of the sphere that contains the Icosidodecahedron in such a way that all the vertices are lying on the sphere.
Surface to Volume Ratio of Icosidodecahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Icosidodecahedron is the numerical ratio of the total surface area of a Icosidodecahedron to the volume of the Icosidodecahedron.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = (1+sqrt(5))*(3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(R_A/V*(45+(17*sqrt(5)))) --> (1+sqrt(5))*(3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(0.2*(45+(17*sqrt(5))))

Evaluating ... ...

r_c = 17.1363475936077

STEP 3: Convert Result to Output's Unit

17.1363475936077 Meter --> No Conversion Required

FINAL ANSWER

17.1363475936077 ≈ 17.13635 Meter <-- Circumsphere Radius of Icosidodecahedron

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Walchand College of Engineering (WCE), Sangli

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< Circumsphere Radius of Icosidodecahedron Calculators

Circumsphere Radius of Icosidodecahedron given Total Surface Area

LaTeX Go Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))/2*sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))

Circumsphere Radius of Icosidodecahedron given Midsphere Radius

LaTeX Go Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))/(sqrt(5+(2*sqrt(5))))*Midsphere Radius of Icosidodecahedron

Circumsphere Radius of Icosidodecahedron given Volume

LaTeX Go Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))/2*((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3)

Circumsphere Radius of Icosidodecahedron

LaTeX Go Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))/2*Edge Length of Icosidodecahedron

Circumsphere Radius of Icosidodecahedron given Surface to Volume Ratio Formula

LaTeX Go

What is an Icosidodecahedron?

In geometry, an Icosidodecahedron is a closed and convex polyhedron with 20 (icosi) triangular faces and 12 (dodeca) pentagonal faces. An Icosidodecahedron has 30 identical vertices, with 2 triangles and 2 pentagons meeting at each. And 60 identical edges, each separating a triangle from a pentagon. As such it is one of the Archimedean solids and more particularly, a quasiregular polyhedron.

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

Circumsphere Radius of Icosidodecahedron given Surface to Volume Ratio calculator uses Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))*(3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Icosidodecahedron*(45+(17*sqrt(5)))) to calculate the Circumsphere Radius of Icosidodecahedron, Circumsphere Radius of Icosidodecahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Icosidodecahedron in such a way that all the vertices are lying on the sphere, and calculated using the surface to volume ratio of the Icosidodecahedron. Circumsphere Radius of Icosidodecahedron is denoted by r_c symbol.

How to calculate Circumsphere Radius of Icosidodecahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Circumsphere Radius of Icosidodecahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Icosidodecahedron (R_A/V) and hit the calculate button. Here is how the Circumsphere Radius of Icosidodecahedron given Surface to Volume Ratio calculation can be explained with given input values -> 17.13635 = (1+sqrt(5))*(3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(0.2*(45+(17*sqrt(5)))).

FAQ

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

Circumsphere Radius of Icosidodecahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Icosidodecahedron in such a way that all the vertices are lying on the sphere, and calculated using the surface to volume ratio of the Icosidodecahedron and is represented as r_c = (1+sqrt(5))*(3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(R_A/V*(45+(17*sqrt(5)))) or Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))*(3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Icosidodecahedron*(45+(17*sqrt(5)))). Surface to Volume Ratio of Icosidodecahedron is the numerical ratio of the total surface area of a Icosidodecahedron to the volume of the Icosidodecahedron.

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

Circumsphere Radius of Icosidodecahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Icosidodecahedron in such a way that all the vertices are lying on the sphere, and calculated using the surface to volume ratio of the Icosidodecahedron is calculated using Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))*(3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Icosidodecahedron*(45+(17*sqrt(5)))). To calculate Circumsphere Radius of Icosidodecahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Icosidodecahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Icosidodecahedron 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 Icosidodecahedron?

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

Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))/2*Edge Length of Icosidodecahedron
Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))/2*sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))/2*((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3)

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