Volume of Hexakis Icosahedron given Insphere Radius Calculator

✖Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Hexakis Icosahedron [r_i]

+10%

-10%

✖Volume of Hexakis Icosahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Icosahedron .ⓘ Volume of Hexakis Icosahedron given Insphere Radius [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Volume of Hexakis Icosahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5))))))^3)
V = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((4*r_i)/(sqrt((15/241)*(275+(119*sqrt(5))))))^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

Volume of Hexakis Icosahedron - (Measured in Cubic Meter) - Volume of Hexakis Icosahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Icosahedron .
Insphere Radius of Hexakis Icosahedron - (Measured in Meter) - Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Hexakis Icosahedron: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((4*r_i)/(sqrt((15/241)*(275+(119*sqrt(5))))))^3) --> (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((4*14)/(sqrt((15/241)*(275+(119*sqrt(5))))))^3)

Evaluating ... ...

V = 12000.8979611269

STEP 3: Convert Result to Output's Unit

12000.8979611269 Cubic Meter --> No Conversion Required

FINAL ANSWER

12000.8979611269 ≈ 12000.9 Cubic Meter <-- Volume of Hexakis Icosahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Hexakis Icosahedron » Volume of Hexakis Icosahedron » Volume of Hexakis Icosahedron given Insphere Radius

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!

< Volume of Hexakis Icosahedron Calculators

Volume of Hexakis Icosahedron given Total Surface Area

LaTeX Go Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((44*Total Surface Area of Hexakis Icosahedron)/(15*(sqrt(10*(417+(107*sqrt(5)))))))^(3/2))

Volume of Hexakis Icosahedron given Insphere Radius

LaTeX Go Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5))))))^3)

Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

LaTeX Go Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(8/125)*(Truncated Edge of Hexakis Icosahedron^3)*((sqrt(15*(5-sqrt(5))))^3)

Volume of Hexakis Icosahedron given Short Edge

LaTeX Go Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))^3)

Volume of Hexakis Icosahedron given Insphere Radius Formula

LaTeX Go

What is Hexakis Icosahedron?

A Hexakis Icosahedron is a polyhedron with identical, but irregular triangle faces. It has thirty vertices with four edges, twenty vertices with six edges and twelve vertices with ten edges.
It has 120 faces, 180 edges, 62 vertices.

How to Calculate Volume of Hexakis Icosahedron given Insphere Radius?

Volume of Hexakis Icosahedron given Insphere Radius calculator uses Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5))))))^3) to calculate the Volume of Hexakis Icosahedron, Volume of Hexakis Icosahedron given Insphere Radius formula is defined as an amount of three dimensional space covered by closed surface of Hexakis Icosahedron, calculated using insphere radius of Hexakis Icosahedron. Volume of Hexakis Icosahedron is denoted by V symbol.

How to calculate Volume of Hexakis Icosahedron given Insphere Radius using this online calculator? To use this online calculator for Volume of Hexakis Icosahedron given Insphere Radius, enter Insphere Radius of Hexakis Icosahedron (r_i) and hit the calculate button. Here is how the Volume of Hexakis Icosahedron given Insphere Radius calculation can be explained with given input values -> 12000.9 = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((4*14)/(sqrt((15/241)*(275+(119*sqrt(5))))))^3).

FAQ

What is Volume of Hexakis Icosahedron given Insphere Radius?

Volume of Hexakis Icosahedron given Insphere Radius formula is defined as an amount of three dimensional space covered by closed surface of Hexakis Icosahedron, calculated using insphere radius of Hexakis Icosahedron and is represented as V = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((4*r_i)/(sqrt((15/241)*(275+(119*sqrt(5))))))^3) or Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5))))))^3). Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touching the sphere.

How to calculate Volume of Hexakis Icosahedron given Insphere Radius?

Volume of Hexakis Icosahedron given Insphere Radius formula is defined as an amount of three dimensional space covered by closed surface of Hexakis Icosahedron, calculated using insphere radius of Hexakis Icosahedron is calculated using Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5))))))^3). To calculate Volume of Hexakis Icosahedron given Insphere Radius, you need Insphere Radius of Hexakis Icosahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius of Hexakis Icosahedron 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 Volume of Hexakis Icosahedron?

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

Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))^3)
Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(8/125)*(Truncated Edge of Hexakis Icosahedron^3)*((sqrt(15*(5-sqrt(5))))^3)
Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((44*Total Surface Area of Hexakis Icosahedron)/(15*(sqrt(10*(417+(107*sqrt(5)))))))^(3/2))

Home

FREE PDFs

🔍 Search