Midsphere Radius of Deltoidal Hexecontahedron given Volume Calculator

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

+10%

-10%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Midsphere Radius of Deltoidal Hexecontahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)
r_m = 3/20*(5+(3*sqrt(5)))*((11*V)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)
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

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

STEP 1: Convert Input(s) to Base Unit

Volume of Deltoidal Hexecontahedron: 22200 Cubic Meter --> 22200 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = 3/20*(5+(3*sqrt(5)))*((11*V)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3) --> 3/20*(5+(3*sqrt(5)))*((11*22200)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)

Evaluating ... ...

r_m = 17.5603292343601

STEP 3: Convert Result to Output's Unit

17.5603292343601 Meter --> No Conversion Required

FINAL ANSWER

17.5603292343601 ≈ 17.56033 Meter <-- Midsphere Radius of Deltoidal Hexecontahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Deltoidal Hexecontahedron » Radius of Deltoidal Hexecontahedron » Midsphere Radius of Deltoidal Hexecontahedron » Midsphere Radius of Deltoidal Hexecontahedron 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 Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< Midsphere Radius of Deltoidal Hexecontahedron Calculators

Midsphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal

LaTeX Go Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5))

Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal

LaTeX Go Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))

Midsphere Radius of Deltoidal Hexecontahedron given Short Edge

LaTeX Go Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))

Midsphere Radius of Deltoidal Hexecontahedron

LaTeX Go Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*Long Edge of Deltoidal Hexecontahedron

Midsphere Radius of Deltoidal Hexecontahedron given Volume Formula

LaTeX Go

What is Deltoidal Hexecontahedron?

A Deltoidal Hexecontahedron is a polyhedron with deltoid (kite) faces, those have two angles with 86.97°, one angle with 118.3° and one with 67.8°. It has twenty vertices with three edges, thirty vertices with four edges and twelve vertices with five edges. In total, it has 60 faces, 120 edges, 62 vertices.

How to Calculate Midsphere Radius of Deltoidal Hexecontahedron given Volume?

Midsphere Radius of Deltoidal Hexecontahedron given Volume calculator uses Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3) to calculate the Midsphere Radius of Deltoidal Hexecontahedron, Midsphere Radius of Deltoidal Hexecontahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere, calculated using volume of Deltoidal Hexecontahedron. Midsphere Radius of Deltoidal Hexecontahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Deltoidal Hexecontahedron given Volume using this online calculator? To use this online calculator for Midsphere Radius of Deltoidal Hexecontahedron given Volume, enter Volume of Deltoidal Hexecontahedron (V) and hit the calculate button. Here is how the Midsphere Radius of Deltoidal Hexecontahedron given Volume calculation can be explained with given input values -> 17.56033 = 3/20*(5+(3*sqrt(5)))*((11*22200)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3).

FAQ

What is Midsphere Radius of Deltoidal Hexecontahedron given Volume?

Midsphere Radius of Deltoidal Hexecontahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere, calculated using volume of Deltoidal Hexecontahedron and is represented as r_m = 3/20*(5+(3*sqrt(5)))*((11*V)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3) or Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3). Volume of Deltoidal Hexecontahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron.

How to calculate Midsphere Radius of Deltoidal Hexecontahedron given Volume?

Midsphere Radius of Deltoidal Hexecontahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere, calculated using volume of Deltoidal Hexecontahedron is calculated using Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3). To calculate Midsphere Radius of Deltoidal Hexecontahedron given Volume, you need Volume of Deltoidal Hexecontahedron (V). With our tool, you need to enter the respective value for Volume of Deltoidal Hexecontahedron 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 Hexecontahedron?

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

Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*Long Edge of Deltoidal Hexecontahedron
Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))
Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))

Home

FREE PDFs

🔍 Search