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Insphere Radius of Pentagonal Icositetrahedron given Surface to Volume Ratio Formula

GoInsphere Radius of Pentagonal Icositetrahedron given Long Edge Formula

GoInsphere Radius of Pentagonal Icositetrahedron given Volume Formula

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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 (\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)}}})

r_i - Insphere Radius of Pentagonal Icositetrahedron?R_A/V - SA:V of Pentagonal Icositetrahedron?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?

Insphere Radius of Pentagonal Icositetrahedron given Surface to Volume Ratio Example

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

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

10 = (\frac{1}{2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)}}) \cdot (\frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{0.3 \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}}})

10m = (\frac{1}{2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)}}) \cdot (\frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{0.3m⁻¹ \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}}})

10 = (\frac{1}{2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)}}) \cdot (\frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{0.3 \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}}})

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Insphere Radius of Pentagonal Icositetrahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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)}}})

Next Step Substitute values of Variables

∴

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}}}{0.3m⁻¹ \cdot \sqrt{\frac{11 \cdot ([Tribonacci_C] - 4)}{2 \cdot ((20 \cdot [Tribonacci_C]) - 37)}}})

Next Step Substitute values of Constants

∴

r i = (\frac{1}{2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)}}) \cdot (\frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{0.3m⁻¹ \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}}})

Next Step Prepare to Evaluate

∴

r i = (\frac{1}{2 \cdot \sqrt{(2 - 1.8393) \cdot (3 - 1.8393)}}) \cdot (\frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{0.3 \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}}})

Next Step Evaluate

∴

r i = 10.0000000000001m

LAST Step Rounding Answer

∴

r i = 10m

Insphere Radius of Pentagonal Icositetrahedron given Surface to Volume Ratio 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

SA:V of Pentagonal Icositetrahedron

SA:V of Pentagonal Icositetrahedron is what part of or fraction of the total volume of Pentagonal Icositetrahedron is the total surface area.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Pentagonal Icositetrahedron

Tribonacci constant