FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Insphere Radius of Pentagonal Icositetrahedron given Volume Formula

GoInsphere Radius of Pentagonal Icositetrahedron given Long Edge Formula

GoInsphere Radius of Pentagonal Icositetrahedron given Total Surface Area Formula

Fx Copy

LaTeX Copy

Insphere Radius of Pentagonal Icositetrahedron is the radius of the sphere that the Pentagonal Icositetrahedron contains in such a way that all the faces touch the sphere. Check FAQs

r i = (\frac{1}{2 \cdot \sqrt{(2 - [Tribonacci_C]) \cdot (3 - [Tribonacci_C])}}) \cdot (V^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot [Tribonacci_C]) - 37)}{11 \cdot ([Tribonacci_C] - 4)})}^{\frac{1}{6}})

r_i - Insphere Radius of Pentagonal Icositetrahedron?V - Volume of Pentagonal Icositetrahedron?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?

Insphere Radius of Pentagonal Icositetrahedron given Volume Example

With values

With units

Only example

Here is how the Insphere Radius of Pentagonal Icositetrahedron given Volume equation looks like with Values.

Here is how the Insphere Radius of Pentagonal Icositetrahedron given Volume equation looks like with Units.

Here is how the Insphere Radius of Pentagonal Icositetrahedron given Volume equation looks like.

11.6038 = (\frac{1}{2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)}}) \cdot (7500^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot 1.8393) - 37)}{11 \cdot (1.8393 - 4)})}^{\frac{1}{6}})

11.6038m = (\frac{1}{2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)}}) \cdot ({7500m³}^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot 1.8393) - 37)}{11 \cdot (1.8393 - 4)})}^{\frac{1}{6}})

11.6038 = (\frac{1}{2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)}}) \cdot (7500^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot 1.8393) - 37)}{11 \cdot (1.8393 - 4)})}^{\frac{1}{6}})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Insphere Radius of Pentagonal Icositetrahedron given Volume

Insphere Radius of Pentagonal Icositetrahedron given Volume Solution

Follow our step by step solution on how to calculate Insphere Radius of Pentagonal Icositetrahedron given Volume?

FIRST Step Consider the formula

r i = (\frac{1}{2 \cdot \sqrt{(2 - [Tribonacci_C]) \cdot (3 - [Tribonacci_C])}}) \cdot (V^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot [Tribonacci_C]) - 37)}{11 \cdot ([Tribonacci_C] - 4)})}^{\frac{1}{6}})

Next Step Substitute values of Variables

∴

r i = (\frac{1}{2 \cdot \sqrt{(2 - [Tribonacci_C]) \cdot (3 - [Tribonacci_C])}}) \cdot ({7500m³}^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot [Tribonacci_C]) - 37)}{11 \cdot ([Tribonacci_C] - 4)})}^{\frac{1}{6}})

Next Step Substitute values of Constants

∴

r i = (\frac{1}{2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)}}) \cdot ({7500m³}^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot 1.8393) - 37)}{11 \cdot (1.8393 - 4)})}^{\frac{1}{6}})

Next Step Prepare to Evaluate

∴

r i = (\frac{1}{2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)}}) \cdot (7500^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot 1.8393) - 37)}{11 \cdot (1.8393 - 4)})}^{\frac{1}{6}})

Next Step Evaluate

∴

r i = 11.6038111998941m

LAST Step Rounding Answer

∴

r i = 11.6038m

Insphere Radius of Pentagonal Icositetrahedron given Volume Formula Elements

Variables

Constants

Functions

Insphere Radius of Pentagonal Icositetrahedron

Insphere Radius of Pentagonal Icositetrahedron is the radius of the sphere that the Pentagonal Icositetrahedron contains in such a way that all the faces touch the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Pentagonal Icositetrahedron

Volume of Pentagonal Icositetrahedron

Volume of Pentagonal Icositetrahedron is the quantity of three dimensional space enclosed by the entire surface of Pentagonal Icositetrahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Pentagonal Icositetrahedron

Tribonacci constant

Tribonacci constant is the limit of the ratio of the nth term to the (n-1)th term of the Tribonacci sequence as n approaches infinity.

Symbol: [Tribonacci_C]

Value: 1.839286755214161

Tribonacci constant

Tribonacci constant is the limit of the ratio of the nth term to the (n-1)th term of the Tribonacci sequence as n approaches infinity.

Symbol: [Tribonacci_C]

Value: 1.839286755214161

Tribonacci constant

Tribonacci constant is the limit of the ratio of the nth term to the (n-1)th term of the Tribonacci sequence as n approaches infinity.

Symbol: [Tribonacci_C]

Value: 1.839286755214161

Tribonacci constant

Tribonacci constant is the limit of the ratio of the nth term to the (n-1)th term of the Tribonacci sequence as n approaches infinity.

Symbol: [Tribonacci_C]

Value: 1.839286755214161

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.

Syntax: sqrt(Number)

Other Formulas to find Insphere Radius of Pentagonal Icositetrahedron

Go Insphere Radius of Pentagonal Icositetrahedron given Long Edge

r i = \frac{l e(Long)}{\sqrt{(2 - [Tribonacci_C]) \cdot (3 - [Tribonacci_C]) \cdot ([Tribonacci_C] + 1)}}

Go Insphere Radius of Pentagonal Icositetrahedron given Total Surface Area

r i = (\frac{1}{2 \cdot \sqrt{(2 - [Tribonacci_C]) \cdot (3 - [Tribonacci_C])}}) \cdot (\sqrt{\frac{TSA}{3}} \cdot {(\frac{(4 \cdot [Tribonacci_C]) - 3}{22 \cdot ((5 \cdot [Tribonacci_C]) - 1)})}^{\frac{1}{4}})

Go Insphere Radius of Pentagonal Icositetrahedron given Surface to Volume Ratio

r i = (\frac{1}{2 \cdot \sqrt{(2 - [Tribonacci_C]) \cdot (3 - [Tribonacci_C])}}) \cdot (\frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot [Tribonacci_C] - 1)}{(4 \cdot [Tribonacci_C]) - 3}}}{R A/V \cdot \sqrt{\frac{11 \cdot ([Tribonacci_C] - 4)}{2 \cdot ((20 \cdot [Tribonacci_C]) - 37)}}})

Go Insphere Radius of Pentagonal Icositetrahedron

r i = \frac{l e(Snub Cube)}{2 \cdot \sqrt{(2 - [Tribonacci_C]) \cdot (3 - [Tribonacci_C])}}

How to Evaluate Insphere Radius of Pentagonal Icositetrahedron given Volume?

Insphere Radius of Pentagonal Icositetrahedron given Volume evaluator uses Insphere Radius of Pentagonal Icositetrahedron = (1/(2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))))*(Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6)) to evaluate the Insphere Radius of Pentagonal Icositetrahedron, Insphere Radius of Pentagonal Icositetrahedron given Volume formula is defined as the radius of the sphere that the Pentagonal Icositetrahedron contains in such a way that all the faces touch the sphere, calculated using the volume of Pentagonal Icositetrahedron. Insphere Radius of Pentagonal Icositetrahedron is denoted by r_i symbol.

How to evaluate Insphere Radius of Pentagonal Icositetrahedron given Volume using this online evaluator? To use this online evaluator for Insphere Radius of Pentagonal Icositetrahedron given Volume, enter Volume of Pentagonal Icositetrahedron (V) and hit the calculate button.

FAQs on Insphere Radius of Pentagonal Icositetrahedron given Volume

What is the formula to find Insphere Radius of Pentagonal Icositetrahedron given Volume?

The formula of Insphere Radius of Pentagonal Icositetrahedron given Volume is expressed as Insphere Radius of Pentagonal Icositetrahedron = (1/(2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))))*(Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6)). Here is an example- 11.60381 = (1/(2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))))*(7500^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6)).

How to calculate Insphere Radius of Pentagonal Icositetrahedron given Volume?

With Volume of Pentagonal Icositetrahedron (V) we can find Insphere Radius of Pentagonal Icositetrahedron given Volume using the formula - Insphere Radius of Pentagonal Icositetrahedron = (1/(2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))))*(Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6)). This formula also uses Tribonacci constant, Tribonacci constant, Tribonacci constant, Tribonacci constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Insphere Radius of Pentagonal Icositetrahedron?

Here are the different ways to Calculate Insphere Radius of Pentagonal Icositetrahedron-

Insphere Radius of Pentagonal Icositetrahedron=Long Edge of Pentagonal Icositetrahedron/sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C])*([Tribonacci_C]+1))
Insphere Radius of Pentagonal Icositetrahedron=(1/(2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))))*(sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4))
Insphere Radius of Pentagonal Icositetrahedron=(1/(2*sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C]))))*((3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(SA:V of Pentagonal Icositetrahedron*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))))

Can the Insphere Radius of Pentagonal Icositetrahedron given Volume be negative?

No, the Insphere Radius of Pentagonal Icositetrahedron given Volume, measured in Length cannot be negative.

Which unit is used to measure Insphere Radius of Pentagonal Icositetrahedron given Volume?

Insphere Radius of Pentagonal Icositetrahedron given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Insphere Radius of Pentagonal Icositetrahedron given Volume can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Insphere Radius of Pentagonal Icositetrahedron given Volume Formula

​GoInsphere Radius of Pentagonal Icositetrahedron given Long Edge Formula

​GoInsphere Radius of Pentagonal Icositetrahedron given Total Surface Area Formula

Insphere Radius of Pentagonal Icositetrahedron given Volume Example

Insphere Radius of Pentagonal Icositetrahedron given Volume Solution

Insphere Radius of Pentagonal Icositetrahedron given Volume Formula Elements

Other Formulas to find Insphere Radius of Pentagonal Icositetrahedron

How to Evaluate Insphere Radius of Pentagonal Icositetrahedron given Volume?

FAQs on Insphere Radius of Pentagonal Icositetrahedron given Volume

Variable Name

GoInsphere Radius of Pentagonal Icositetrahedron given Long Edge Formula

GoInsphere Radius of Pentagonal Icositetrahedron given Total Surface Area Formula