Insphere Radius of Deltoidal Icositetrahedron given Volume Calculator

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

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

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Insphere Radius of Deltoidal Icositetrahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3)
r_i = sqrt((22+(15*sqrt(2)))/34)*((7*V)/(2*sqrt(292+(206*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 Deltoidal Icositetrahedron - (Measured in Meter) - Insphere Radius of Deltoidal Icositetrahedron is the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touching the sphere.
Volume of Deltoidal Icositetrahedron - (Measured in Cubic Meter) - Volume of Deltoidal Icositetrahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Deltoidal Icositetrahedron: 55200 Cubic Meter --> 55200 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = sqrt((22+(15*sqrt(2)))/34)*((7*V)/(2*sqrt(292+(206*sqrt(2)))))^(1/3) --> sqrt((22+(15*sqrt(2)))/34)*((7*55200)/(2*sqrt(292+(206*sqrt(2)))))^(1/3)

Evaluating ... ...

r_i = 22.5468396814419

STEP 3: Convert Result to Output's Unit

22.5468396814419 Meter --> No Conversion Required

FINAL ANSWER

22.5468396814419 ≈ 22.54684 Meter <-- Insphere Radius of Deltoidal Icositetrahedron

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

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< Insphere Radius of Deltoidal Icositetrahedron Calculators

Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal

LaTeX Go Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2))))

Insphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal

LaTeX Go Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2))))

Insphere Radius of Deltoidal Icositetrahedron given Short Edge

LaTeX Go Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))

Insphere Radius of Deltoidal Icositetrahedron

LaTeX Go Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*Long Edge of Deltoidal Icositetrahedron

Insphere Radius of Deltoidal Icositetrahedron given Volume Formula

LaTeX Go

What is Deltoidal Icositetrahedron?

A Deltoidal Icositetrahedron is a polyhedron with deltoid (kite) faces, those have three angles with 81.579° and one with 115.263°. It has eight vertices with three edges and eighteen vertices with four edges. In total, it has 24 faces, 48 edges, 26 vertices.

How to Calculate Insphere Radius of Deltoidal Icositetrahedron given Volume?

Insphere Radius of Deltoidal Icositetrahedron given Volume calculator uses Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3) to calculate the Insphere Radius of Deltoidal Icositetrahedron, Insphere Radius of Deltoidal Icositetrahedron given Volume formula is defined as the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touch the sphere, calculated using the volume of Deltoidal Icositetrahedron. Insphere Radius of Deltoidal Icositetrahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Deltoidal Icositetrahedron given Volume using this online calculator? To use this online calculator for Insphere Radius of Deltoidal Icositetrahedron given Volume, enter Volume of Deltoidal Icositetrahedron (V) and hit the calculate button. Here is how the Insphere Radius of Deltoidal Icositetrahedron given Volume calculation can be explained with given input values -> 22.54684 = sqrt((22+(15*sqrt(2)))/34)*((7*55200)/(2*sqrt(292+(206*sqrt(2)))))^(1/3).

FAQ

What is Insphere Radius of Deltoidal Icositetrahedron given Volume?

Insphere Radius of Deltoidal Icositetrahedron given Volume formula is defined as the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touch the sphere, calculated using the volume of Deltoidal Icositetrahedron and is represented as r_i = sqrt((22+(15*sqrt(2)))/34)*((7*V)/(2*sqrt(292+(206*sqrt(2)))))^(1/3) or Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3). Volume of Deltoidal Icositetrahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron.

How to calculate Insphere Radius of Deltoidal Icositetrahedron given Volume?

Insphere Radius of Deltoidal Icositetrahedron given Volume formula is defined as the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touch the sphere, calculated using the volume of Deltoidal Icositetrahedron is calculated using Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3). To calculate Insphere Radius of Deltoidal Icositetrahedron given Volume, you need Volume of Deltoidal Icositetrahedron (V). With our tool, you need to enter the respective value for Volume of Deltoidal Icositetrahedron 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 Deltoidal Icositetrahedron?

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

Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*Long Edge of Deltoidal Icositetrahedron
Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))
Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2))))

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