Insphere 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]

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✖Insphere Radius of Deltoidal Hexecontahedron is the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere.ⓘ Insphere Radius of Deltoidal Hexecontahedron given Volume [r_i]

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Insphere Radius of Deltoidal Hexecontahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)
r_i = 3/2*sqrt((135+(59*sqrt(5)))/205)*((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

Insphere Radius of Deltoidal Hexecontahedron - (Measured in Meter) - Insphere Radius of Deltoidal Hexecontahedron is the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the 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_i = 3/2*sqrt((135+(59*sqrt(5)))/205)*((11*V)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3) --> 3/2*sqrt((135+(59*sqrt(5)))/205)*((11*22200)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)

Evaluating ... ...

r_i = 17.1144331817237

STEP 3: Convert Result to Output's Unit

17.1144331817237 Meter --> No Conversion Required

FINAL ANSWER

17.1144331817237 ≈ 17.11443 Meter <-- Insphere Radius of Deltoidal Hexecontahedron

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Insphere Radius of Deltoidal Hexecontahedron Calculators

Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal

LaTeX Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5))

Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal

LaTeX Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))

Insphere Radius of Deltoidal Hexecontahedron given Short Edge

LaTeX Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))

Insphere Radius of Deltoidal Hexecontahedron

LaTeX Go Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Long Edge of Deltoidal Hexecontahedron

Insphere 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 Insphere Radius of Deltoidal Hexecontahedron given Volume?

Insphere Radius of Deltoidal Hexecontahedron given Volume calculator uses Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3) to calculate the Insphere Radius of Deltoidal Hexecontahedron, Insphere Radius of Deltoidal Hexecontahedron given Volume formula is defined as the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere, calculated using volume of Deltoidal Hexecontahedron. Insphere Radius of Deltoidal Hexecontahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Deltoidal Hexecontahedron given Volume using this online calculator? To use this online calculator for Insphere Radius of Deltoidal Hexecontahedron given Volume, enter Volume of Deltoidal Hexecontahedron (V) and hit the calculate button. Here is how the Insphere Radius of Deltoidal Hexecontahedron given Volume calculation can be explained with given input values -> 17.11443 = 3/2*sqrt((135+(59*sqrt(5)))/205)*((11*22200)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3).

FAQ

What is Insphere Radius of Deltoidal Hexecontahedron given Volume?

Insphere Radius of Deltoidal Hexecontahedron given Volume formula is defined as the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere, calculated using volume of Deltoidal Hexecontahedron and is represented as r_i = 3/2*sqrt((135+(59*sqrt(5)))/205)*((11*V)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3) or Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*((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 Insphere Radius of Deltoidal Hexecontahedron given Volume?

Insphere Radius of Deltoidal Hexecontahedron given Volume formula is defined as the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere, calculated using volume of Deltoidal Hexecontahedron is calculated using Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3). To calculate Insphere 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 Insphere Radius of Deltoidal Hexecontahedron?

In this formula, Insphere 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 -

Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Long Edge of Deltoidal Hexecontahedron
Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))
Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))

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