Insphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))
ri = sqrt((22+(15*sqrt(2)))/34)*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
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.
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
ri = sqrt((22+(15*sqrt(2)))/34)*6/AV*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))) --> sqrt((22+(15*sqrt(2)))/34)*6/0.1*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))
Evaluating ... ...
ri = 30
STEP 3: Convert Result to Output's Unit
30 Meter --> No Conversion Required
FINAL ANSWER
30 Meter <-- Insphere Radius of Deltoidal Icositetrahedron
(Calculation completed in 00.004 seconds)

Credits

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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8 Insphere Radius of Deltoidal Icositetrahedron Calculators

Insphere Radius of Deltoidal Icositetrahedron given Total Surface Area
Go Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2)))))
Insphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio
Go Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))
Insphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal
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 Volume
Go Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3)
Insphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal
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 Midsphere Radius
Go Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2))
Insphere Radius of Deltoidal Icositetrahedron given Short Edge
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
Go Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*Long Edge of Deltoidal Icositetrahedron

Insphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio Formula

Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))
ri = sqrt((22+(15*sqrt(2)))/34)*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 Insphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio?

Insphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio calculator uses Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))) to calculate the Insphere Radius of Deltoidal Icositetrahedron, Insphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio 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 surface to volume ratio of Deltoidal Icositetrahedron. Insphere Radius of Deltoidal Icositetrahedron is denoted by ri symbol.

How to calculate Insphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Insphere 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 Insphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio calculation can be explained with given input values -> 30 = sqrt((22+(15*sqrt(2)))/34)*6/0.1*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))).

FAQ

What is Insphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio?
Insphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio 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 surface to volume ratio of Deltoidal Icositetrahedron and is represented as ri = sqrt((22+(15*sqrt(2)))/34)*6/AV*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))) or Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*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 Insphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio?
Insphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio 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 surface to volume ratio of Deltoidal Icositetrahedron is calculated using Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))). To calculate Insphere 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 Insphere Radius of Deltoidal Icositetrahedron?
In this formula, Insphere Radius of Deltoidal Icositetrahedron uses SA:V of Deltoidal Icositetrahedron. We can use 7 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))))
  • 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 = sqrt((22+(15*sqrt(2)))/34)*sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2)))))
  • Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3)
  • Insphere Radius of Deltoidal Icositetrahedron = sqrt((22+(15*sqrt(2)))/34)*(2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2))
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