Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))
rm = (1+sqrt(2))/2*6/AV*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))
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 Deltoidal Icositetrahedron - (Measured in Meter) - Midsphere Radius of Deltoidal Icositetrahedron is the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere.
SA:V of Deltoidal Icositetrahedron - (Measured in 1 per Meter) - SA:V of Deltoidal Icositetrahedron is what part of or fraction of total volume of Deltoidal Icositetrahedron is the total surface area.
STEP 1: Convert Input(s) to Base Unit
SA:V of Deltoidal Icositetrahedron: 0.1 1 per Meter --> 0.1 1 per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rm = (1+sqrt(2))/2*6/AV*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))) --> (1+sqrt(2))/2*6/0.1*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))
Evaluating ... ...
rm = 32.1216741230287
STEP 3: Convert Result to Output's Unit
32.1216741230287 Meter --> No Conversion Required
FINAL ANSWER
32.1216741230287 32.12167 Meter <-- Midsphere Radius of Deltoidal Icositetrahedron
(Calculation completed in 00.004 seconds)

Credits

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 2500+ more calculators!
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Verified by Anamika Mittal
Vellore Institute of Technology (VIT), Bhopal
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Midsphere Radius of Deltoidal Icositetrahedron Calculators

Midsphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal
​ LaTeX ​ Go Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2))))
Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal
​ LaTeX ​ Go Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2))))
Midsphere Radius of Deltoidal Icositetrahedron given Short Edge
​ LaTeX ​ Go Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*(7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))
Midsphere Radius of Deltoidal Icositetrahedron
​ LaTeX ​ Go Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*Long Edge of Deltoidal Icositetrahedron

Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio Formula

​LaTeX ​Go
Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))
rm = (1+sqrt(2))/2*6/AV*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))

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 Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio?

Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio calculator uses Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))) to calculate the Midsphere Radius of Deltoidal Icositetrahedron, Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio formula is defined as the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere, calculated using surface to volume ratio of the Deltoidal Icositetrahedron. Midsphere Radius of Deltoidal Icositetrahedron is denoted by rm symbol.

How to calculate Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio, enter SA:V of Deltoidal Icositetrahedron (AV) and hit the calculate button. Here is how the Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio calculation can be explained with given input values -> 32.12167 = (1+sqrt(2))/2*6/0.1*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))).

FAQ

What is Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio?
Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio formula is defined as the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere, calculated using surface to volume ratio of the Deltoidal Icositetrahedron and is represented as rm = (1+sqrt(2))/2*6/AV*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))) or Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))). SA:V of Deltoidal Icositetrahedron is what part of or fraction of total volume of Deltoidal Icositetrahedron is the total surface area.
How to calculate Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio?
Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio formula is defined as the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere, calculated using surface to volume ratio of the Deltoidal Icositetrahedron is calculated using Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))). To calculate Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio, you need SA:V of Deltoidal Icositetrahedron (AV). With our tool, you need to enter the respective value for SA:V 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 Midsphere Radius of Deltoidal Icositetrahedron?
In this formula, Midsphere Radius of Deltoidal Icositetrahedron uses SA:V of Deltoidal Icositetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*Long Edge of Deltoidal Icositetrahedron
  • Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*(7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))
  • Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*(7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2))))
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