Midsphere Radius of Rhombic Dodecahedron given Insphere Radius Calculator

✖Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere.ⓘ Insphere Radius of Rhombic Dodecahedron [r_i]

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

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Midsphere Radius of Rhombic Dodecahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Rhombic Dodecahedron = 2/sqrt(3)*Insphere Radius of Rhombic Dodecahedron
r_m = 2/sqrt(3)*r_i
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 Rhombic Dodecahedron - (Measured in Meter) - Midsphere Radius of Rhombic Dodecahedron is the radius of the sphere for which all the edges of the Rhombic Dodecahedron become a tangent line on that sphere.
Insphere Radius of Rhombic Dodecahedron - (Measured in Meter) - Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Rhombic Dodecahedron: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = 2/sqrt(3)*r_i --> 2/sqrt(3)*8

Evaluating ... ...

r_m = 9.23760430703401

STEP 3: Convert Result to Output's Unit

9.23760430703401 Meter --> No Conversion Required

FINAL ANSWER

9.23760430703401 ≈ 9.237604 Meter <-- Midsphere Radius of Rhombic Dodecahedron

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Midsphere Radius of Rhombic Dodecahedron Calculators

Midsphere Radius of Rhombic Dodecahedron given Volume

LaTeX Go Midsphere Radius of Rhombic Dodecahedron = (2*sqrt(2))/3*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3)

Midsphere Radius of Rhombic Dodecahedron given Surface to Volume Ratio

LaTeX Go Midsphere Radius of Rhombic Dodecahedron = 6/sqrt(3)*1/Surface to Volume Ratio of Rhombic Dodecahedron

Midsphere Radius of Rhombic Dodecahedron given Insphere Radius

LaTeX Go Midsphere Radius of Rhombic Dodecahedron = 2/sqrt(3)*Insphere Radius of Rhombic Dodecahedron

Midsphere Radius of Rhombic Dodecahedron

LaTeX Go Midsphere Radius of Rhombic Dodecahedron = (2*sqrt(2))/3*Edge Length of Rhombic Dodecahedron

Midsphere Radius of Rhombic Dodecahedron given Insphere Radius Formula

LaTeX Go

Midsphere Radius of Rhombic Dodecahedron = 2/sqrt(3)*Insphere Radius of Rhombic Dodecahedron
r_m = 2/sqrt(3)*r_i

What is Rhombic Dodecahedron?

In geometry, the Rhombic Dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of two types. It is a Catalan solid, and the dual polyhedron of the cuboctahedron.

How to Calculate Midsphere Radius of Rhombic Dodecahedron given Insphere Radius?

Midsphere Radius of Rhombic Dodecahedron given Insphere Radius calculator uses Midsphere Radius of Rhombic Dodecahedron = 2/sqrt(3)*Insphere Radius of Rhombic Dodecahedron to calculate the Midsphere Radius of Rhombic Dodecahedron, Midsphere Radius of Rhombic Dodecahedron given Insphere Radius formula is defined as the radius of the sphere for which all the edges of the Rhombic Dodecahedron become a tangent line on that sphere, calculated using insphere radius of Rhombic Dodecahedron. Midsphere Radius of Rhombic Dodecahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Rhombic Dodecahedron given Insphere Radius using this online calculator? To use this online calculator for Midsphere Radius of Rhombic Dodecahedron given Insphere Radius, enter Insphere Radius of Rhombic Dodecahedron (r_i) and hit the calculate button. Here is how the Midsphere Radius of Rhombic Dodecahedron given Insphere Radius calculation can be explained with given input values -> 9.237604 = 2/sqrt(3)*8.

FAQ

What is Midsphere Radius of Rhombic Dodecahedron given Insphere Radius?

Midsphere Radius of Rhombic Dodecahedron given Insphere Radius formula is defined as the radius of the sphere for which all the edges of the Rhombic Dodecahedron become a tangent line on that sphere, calculated using insphere radius of Rhombic Dodecahedron and is represented as r_m = 2/sqrt(3)*r_i or Midsphere Radius of Rhombic Dodecahedron = 2/sqrt(3)*Insphere Radius of Rhombic Dodecahedron. Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere.

How to calculate Midsphere Radius of Rhombic Dodecahedron given Insphere Radius?

Midsphere Radius of Rhombic Dodecahedron given Insphere Radius formula is defined as the radius of the sphere for which all the edges of the Rhombic Dodecahedron become a tangent line on that sphere, calculated using insphere radius of Rhombic Dodecahedron is calculated using Midsphere Radius of Rhombic Dodecahedron = 2/sqrt(3)*Insphere Radius of Rhombic Dodecahedron. To calculate Midsphere Radius of Rhombic Dodecahedron given Insphere Radius, you need Insphere Radius of Rhombic Dodecahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius of Rhombic Dodecahedron 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 Rhombic Dodecahedron?

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

Midsphere Radius of Rhombic Dodecahedron = (2*sqrt(2))/3*Edge Length of Rhombic Dodecahedron
Midsphere Radius of Rhombic Dodecahedron = 6/sqrt(3)*1/Surface to Volume Ratio of Rhombic Dodecahedron
Midsphere Radius of Rhombic Dodecahedron = (2*sqrt(2))/3*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3)

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