Midsphere Radius of Pentagonal Icositetrahedron given Volume Calculator

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

+10%

-10%

✖Midsphere Radius of Pentagonal Icositetrahedron is the radius of the sphere for which all the edges of the Pentagonal Icositetrahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Pentagonal Icositetrahedron given Volume [r_m]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Midsphere Radius of Pentagonal Icositetrahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Pentagonal Icositetrahedron = 1/(2*sqrt(2-[Tribonacci_C]))*Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6)
r_m = 1/(2*sqrt(2-[Tribonacci_C]))*V^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

[Tribonacci_C] - Tribonacci constant Value Taken As 1.839286755214161

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 Pentagonal Icositetrahedron - (Measured in Meter) - Midsphere Radius of Pentagonal Icositetrahedron is the radius of the sphere for which all the edges of the Pentagonal Icositetrahedron become a tangent line on that sphere.
Volume of Pentagonal Icositetrahedron - (Measured in Cubic Meter) - Volume of Pentagonal Icositetrahedron is the quantity of three dimensional space enclosed by the entire surface of Pentagonal Icositetrahedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Pentagonal Icositetrahedron: 7500 Cubic Meter --> 7500 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = 1/(2*sqrt(2-[Tribonacci_C]))*V^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6) --> 1/(2*sqrt(2-[Tribonacci_C]))*7500^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6)

Evaluating ... ...

r_m = 12.5015287526992

STEP 3: Convert Result to Output's Unit

12.5015287526992 Meter --> No Conversion Required

FINAL ANSWER

12.5015287526992 ≈ 12.50153 Meter <-- Midsphere Radius of Pentagonal Icositetrahedron

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Pentagonal Icositetrahedron » Radius of Pentagonal Icositetrahedron » Midsphere Radius of Pentagonal Icositetrahedron » Midsphere Radius of Pentagonal Icositetrahedron given Volume

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< Midsphere Radius of Pentagonal Icositetrahedron Calculators

Midsphere Radius of Pentagonal Icositetrahedron given Total Surface Area

LaTeX Go Midsphere Radius of Pentagonal Icositetrahedron = 1/(2*sqrt(2-[Tribonacci_C]))*(sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4))

Midsphere Radius of Pentagonal Icositetrahedron given Short Edge

LaTeX Go Midsphere Radius of Pentagonal Icositetrahedron = (sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron)/(2*sqrt(2-[Tribonacci_C]))

Midsphere Radius of Pentagonal Icositetrahedron given Long Edge

LaTeX Go Midsphere Radius of Pentagonal Icositetrahedron = 1/sqrt(2-[Tribonacci_C])*((Long Edge of Pentagonal Icositetrahedron)/sqrt([Tribonacci_C]+1))

Midsphere Radius of Pentagonal Icositetrahedron

LaTeX Go Midsphere Radius of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron/(2*sqrt(2-[Tribonacci_C]))

Midsphere Radius of Pentagonal Icositetrahedron given Volume Formula

LaTeX Go

What is Pentagonal Icositetrahedron?

The Pentagonal Icositetrahedron can be constructed from a snub cube. Its faces are axial-symmetric pentagons with the top angle acos(2-t)=80.7517°. Of this polyhedron, there are two forms that are mirror images of each other, but otherwise identical. It has 24 faces, 60 edges, and 38 vertices.

How to Calculate Midsphere Radius of Pentagonal Icositetrahedron given Volume?

Midsphere Radius of Pentagonal Icositetrahedron given Volume calculator uses Midsphere Radius of Pentagonal Icositetrahedron = 1/(2*sqrt(2-[Tribonacci_C]))*Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6) to calculate the Midsphere Radius of Pentagonal Icositetrahedron, Midsphere Radius of Pentagonal Icositetrahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Pentagonal Icositetrahedron become a tangent line on that sphere, calculated using the volume of Pentagonal Icositetrahedron. Midsphere Radius of Pentagonal Icositetrahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Pentagonal Icositetrahedron given Volume using this online calculator? To use this online calculator for Midsphere Radius of Pentagonal Icositetrahedron given Volume, enter Volume of Pentagonal Icositetrahedron (V) and hit the calculate button. Here is how the Midsphere Radius of Pentagonal Icositetrahedron given Volume calculation can be explained with given input values -> 12.50153 = 1/(2*sqrt(2-[Tribonacci_C]))*7500^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6).

FAQ

What is Midsphere Radius of Pentagonal Icositetrahedron given Volume?

Midsphere Radius of Pentagonal Icositetrahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Pentagonal Icositetrahedron become a tangent line on that sphere, calculated using the volume of Pentagonal Icositetrahedron and is represented as r_m = 1/(2*sqrt(2-[Tribonacci_C]))*V^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6) or Midsphere Radius of Pentagonal Icositetrahedron = 1/(2*sqrt(2-[Tribonacci_C]))*Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6). Volume of Pentagonal Icositetrahedron is the quantity of three dimensional space enclosed by the entire surface of Pentagonal Icositetrahedron.

How to calculate Midsphere Radius of Pentagonal Icositetrahedron given Volume?

Midsphere Radius of Pentagonal Icositetrahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Pentagonal Icositetrahedron become a tangent line on that sphere, calculated using the volume of Pentagonal Icositetrahedron is calculated using Midsphere Radius of Pentagonal Icositetrahedron = 1/(2*sqrt(2-[Tribonacci_C]))*Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6). To calculate Midsphere Radius of Pentagonal Icositetrahedron given Volume, you need Volume of Pentagonal Icositetrahedron (V). With our tool, you need to enter the respective value for Volume of Pentagonal 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 Pentagonal Icositetrahedron?

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

Midsphere Radius of Pentagonal Icositetrahedron = 1/sqrt(2-[Tribonacci_C])*((Long Edge of Pentagonal Icositetrahedron)/sqrt([Tribonacci_C]+1))
Midsphere Radius of Pentagonal Icositetrahedron = (sqrt([Tribonacci_C]+1)*Short Edge of Pentagonal Icositetrahedron)/(2*sqrt(2-[Tribonacci_C]))
Midsphere Radius of Pentagonal Icositetrahedron = Snub Cube Edge of Pentagonal Icositetrahedron/(2*sqrt(2-[Tribonacci_C]))

Home

FREE PDFs

🔍 Search