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Midsphere Radius of Pentagonal Icositetrahedron given Surface to Volume Ratio Formula

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Midsphere Radius of Pentagonal Icositetrahedron is the radius of the sphere for which all the edges of the Pentagonal Icositetrahedron become a tangent line on that sphere. Check FAQs

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

r_m - Midsphere 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?

Midsphere Radius of Pentagonal Icositetrahedron given Surface to Volume Ratio Example

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

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

10.7736 = \frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{2 \cdot 0.3 \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}} \cdot \sqrt{2 - 1.8393}}

10.7736m = \frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{2 \cdot 0.3m⁻¹ \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}} \cdot \sqrt{2 - 1.8393}}

10.7736 = \frac{3 \cdot \sqrt{\frac{22 \cdot (5 \cdot 1.8393 - 1)}{(4 \cdot 1.8393) - 3}}}{2 \cdot 0.3 \cdot \sqrt{\frac{11 \cdot (1.8393 - 4)}{2 \cdot ((20 \cdot 1.8393) - 37)}} \cdot \sqrt{2 - 1.8393}}

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Midsphere Radius of Pentagonal Icositetrahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r m = 10.7736402612388m

LAST Step Rounding Answer

∴

r m = 10.7736m

Midsphere Radius of Pentagonal Icositetrahedron given Surface to Volume Ratio Formula Elements

Variables

Constants

Functions

Midsphere Radius of Pentagonal Icositetrahedron

Midsphere Radius of Pentagonal Icositetrahedron is the radius of the sphere for which all the edges of the Pentagonal Icositetrahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere 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