Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio Calculator

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

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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 Surface to Volume Ratio [r_i]

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Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*(370+(164*sqrt(5)))/25)
r_i = 3/2*sqrt((135+(59*sqrt(5)))/205)*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(AV*(370+(164*sqrt(5)))/25)
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.
SA:V of Deltoidal Hexecontahedron - (Measured in 1 per Meter) - SA:V of Deltoidal Hexecontahedron is what part of or fraction of total volume of Deltoidal Hexecontahedron is the total surface area.

STEP 1: Convert Input(s) to Base Unit

SA:V of Deltoidal Hexecontahedron: 0.2 1 per Meter --> 0.2 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = 3/2*sqrt((135+(59*sqrt(5)))/205)*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(AV*(370+(164*sqrt(5)))/25) --> 3/2*sqrt((135+(59*sqrt(5)))/205)*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(0.2*(370+(164*sqrt(5)))/25)

Evaluating ... ...

r_i = 2.76319454874843

STEP 3: Convert Result to Output's Unit

2.76319454874843 Meter --> No Conversion Required

FINAL ANSWER

2.76319454874843 ≈ 2.763195 Meter <-- Insphere Radius of Deltoidal Hexecontahedron

(Calculation completed in 00.006 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 Surface to Volume Ratio 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 Surface to Volume Ratio?

Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio calculator uses Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*(370+(164*sqrt(5)))/25) to calculate the Insphere Radius of Deltoidal Hexecontahedron, Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio 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 surface to volume ratio of Deltoidal Hexecontahedron. Insphere Radius of Deltoidal Hexecontahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio, enter SA:V of Deltoidal Hexecontahedron (AV) and hit the calculate button. Here is how the Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio calculation can be explained with given input values -> 2.763195 = 3/2*sqrt((135+(59*sqrt(5)))/205)*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(0.2*(370+(164*sqrt(5)))/25).

FAQ

What is Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio?

Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio 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 surface to volume ratio of Deltoidal Hexecontahedron and is represented as r_i = 3/2*sqrt((135+(59*sqrt(5)))/205)*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(AV*(370+(164*sqrt(5)))/25) or Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*(370+(164*sqrt(5)))/25). SA:V of Deltoidal Hexecontahedron is what part of or fraction of total volume of Deltoidal Hexecontahedron is the total surface area.

How to calculate Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio?

Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio 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 surface to volume ratio of Deltoidal Hexecontahedron is calculated using Insphere Radius of Deltoidal Hexecontahedron = 3/2*sqrt((135+(59*sqrt(5)))/205)*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*(370+(164*sqrt(5)))/25). To calculate Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio, you need SA:V of Deltoidal Hexecontahedron (AV). With our tool, you need to enter the respective value for SA:V 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 SA:V 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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