Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio Calculator

✖SA:V of Deltoidal Icositetrahedron is what part of or fraction of total volume of Deltoidal Icositetrahedron is the total surface area.ⓘ SA:V of Deltoidal Icositetrahedron [AV]

+10%

-10%

✖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.ⓘ Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio [r_m]

⎘ Copy

👎

Formula

✖

Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio

Formula

`"r"_{"m"} = (1+sqrt(2))/2*6/"AV"*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))`

Example

`"32.12167m"=(1+sqrt(2))/2*6/"0.1m⁻¹"*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2))))`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF

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))))
r_m = (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

r_m = (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 ... ...

r_m = 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)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Deltoidal Icositetrahedron » Radius of Deltoidal Icositetrahedron » Midsphere Radius of Deltoidal Icositetrahedron » Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Calculator and 300+ more calculators!

< 8 Midsphere Radius of Deltoidal Icositetrahedron Calculators

Midsphere Radius of Deltoidal Icositetrahedron given Total Surface Area

Go Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2)))))

Midsphere Radius of Deltoidal Icositetrahedron given Surface to Volume Ratio

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))))

Midsphere Radius of Deltoidal Icositetrahedron given NonSymmetry Diagonal

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 Volume

Go Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3)

Midsphere Radius of Deltoidal Icositetrahedron given Symmetry Diagonal

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 Insphere Radius

Go Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34))

Midsphere Radius of Deltoidal Icositetrahedron given Short Edge

Go Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*(7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2))

Midsphere Radius of Deltoidal Icositetrahedron

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

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 r_m 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 r_m = (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 7 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))))
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 = (1+sqrt(2))/2*sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2)))))
Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*((7*Volume of Deltoidal Icositetrahedron)/(2*sqrt(292+(206*sqrt(2)))))^(1/3)
Midsphere Radius of Deltoidal Icositetrahedron = (1+sqrt(2))/2*Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34))

Home

FREE PDFs

🔍 Search