Insphere Radius of Hexakis Octahedron given Volume Calculator

✖Volume of Hexakis Octahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron.ⓘ Volume of Hexakis Octahedron [V]

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✖Insphere Radius of Hexakis Octahedron is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Hexakis Octahedron given Volume [r_i]

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Insphere Radius of Hexakis Octahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Hexakis Octahedron = ((sqrt((402+(195*sqrt(2)))/194))/2)*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3))
r_i = ((sqrt((402+(195*sqrt(2)))/194))/2)*(((28*V)/(sqrt(6*(986+(607*sqrt(2))))))^(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

Insphere Radius of Hexakis Octahedron - (Measured in Meter) - Insphere Radius of Hexakis Octahedron is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere.
Volume of Hexakis Octahedron - (Measured in Cubic Meter) - Volume of Hexakis Octahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Hexakis Octahedron: 30000 Cubic Meter --> 30000 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = ((sqrt((402+(195*sqrt(2)))/194))/2)*(((28*V)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)) --> ((sqrt((402+(195*sqrt(2)))/194))/2)*(((28*30000)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3))

Evaluating ... ...

r_i = 18.6796379379529

STEP 3: Convert Result to Output's Unit

18.6796379379529 Meter --> No Conversion Required

FINAL ANSWER

18.6796379379529 ≈ 18.67964 Meter <-- Insphere Radius of Hexakis Octahedron

(Calculation completed in 00.020 seconds)

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< Insphere Radius of Hexakis Octahedron Calculators

Insphere Radius of Hexakis Octahedron given Total Surface Area

LaTeX Go Insphere Radius of Hexakis Octahedron = ((sqrt((402+(195*sqrt(2)))/194))/2)*(sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2))))))

Insphere Radius of Hexakis Octahedron given Medium Edge

LaTeX Go Insphere Radius of Hexakis Octahedron = ((sqrt((402+(195*sqrt(2)))/194))/2)*((14*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))

Insphere Radius of Hexakis Octahedron given Short Edge

LaTeX Go Insphere Radius of Hexakis Octahedron = ((sqrt((402+(195*sqrt(2)))/194))/2)*((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))

Insphere Radius of Hexakis Octahedron

LaTeX Go Insphere Radius of Hexakis Octahedron = (Long Edge of Hexakis Octahedron/2)*(sqrt((402+(195*sqrt(2)))/194))

Insphere Radius of Hexakis Octahedron given Volume Formula

LaTeX Go

What is Hexakis Octahedron?

In geometry, a Hexakis Octahedron (also called hexoctahedron, disdyakis dodecahedron, octakis cube, octakis hexahedron, kisrhombic dodecahedron), is a Catalan solid with 48 congruent triangular faces, 72 edges and 26 vertices. It is the dual of the Archimedean solid ‘truncated cuboctahedron’. As such it is face-transitive but with irregular face polygons.

How to Calculate Insphere Radius of Hexakis Octahedron given Volume?

Insphere Radius of Hexakis Octahedron given Volume calculator uses Insphere Radius of Hexakis Octahedron = ((sqrt((402+(195*sqrt(2)))/194))/2)*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)) to calculate the Insphere Radius of Hexakis Octahedron, Insphere Radius of Hexakis Octahedron given Volume formula is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere, calculated using the volume of Hexakis Octahedron. Insphere Radius of Hexakis Octahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Hexakis Octahedron given Volume using this online calculator? To use this online calculator for Insphere Radius of Hexakis Octahedron given Volume, enter Volume of Hexakis Octahedron (V) and hit the calculate button. Here is how the Insphere Radius of Hexakis Octahedron given Volume calculation can be explained with given input values -> 18.67964 = ((sqrt((402+(195*sqrt(2)))/194))/2)*(((28*30000)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)).

FAQ

What is Insphere Radius of Hexakis Octahedron given Volume?

Insphere Radius of Hexakis Octahedron given Volume formula is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere, calculated using the volume of Hexakis Octahedron and is represented as r_i = ((sqrt((402+(195*sqrt(2)))/194))/2)*(((28*V)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)) or Insphere Radius of Hexakis Octahedron = ((sqrt((402+(195*sqrt(2)))/194))/2)*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)). Volume of Hexakis Octahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron.

How to calculate Insphere Radius of Hexakis Octahedron given Volume?

Insphere Radius of Hexakis Octahedron given Volume formula is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere, calculated using the volume of Hexakis Octahedron is calculated using Insphere Radius of Hexakis Octahedron = ((sqrt((402+(195*sqrt(2)))/194))/2)*(((28*Volume of Hexakis Octahedron)/(sqrt(6*(986+(607*sqrt(2))))))^(1/3)). To calculate Insphere Radius of Hexakis Octahedron given Volume, you need Volume of Hexakis Octahedron (V). With our tool, you need to enter the respective value for Volume of Hexakis Octahedron 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 Insphere Radius of Hexakis Octahedron?

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

Insphere Radius of Hexakis Octahedron = (Long Edge of Hexakis Octahedron/2)*(sqrt((402+(195*sqrt(2)))/194))
Insphere Radius of Hexakis Octahedron = ((sqrt((402+(195*sqrt(2)))/194))/2)*((14*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))
Insphere Radius of Hexakis Octahedron = ((sqrt((402+(195*sqrt(2)))/194))/2)*((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))

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