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Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio Formula

GoInsphere Radius of Deltoidal Hexecontahedron Formula

GoInsphere Radius of Deltoidal Hexecontahedron given Short Edge Formula

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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. Check FAQs

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{AV \cdot \frac{370 + (164 \cdot \sqrt{5})}{25}}

r_i - Insphere Radius of Deltoidal Hexecontahedron?AV - SA:V of Deltoidal Hexecontahedron?

Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio Example

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Here is how the Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio equation looks like with Values.

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

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

2.7632 = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{0.2 \cdot \frac{370 + (164 \cdot \sqrt{5})}{25}}

2.7632m = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{0.2m⁻¹ \cdot \frac{370 + (164 \cdot \sqrt{5})}{25}}

2.7632 = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{0.2 \cdot \frac{370 + (164 \cdot \sqrt{5})}{25}}

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Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{AV \cdot \frac{370 + (164 \cdot \sqrt{5})}{25}}

Next Step Substitute values of Variables

∴

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{0.2m⁻¹ \cdot \frac{370 + (164 \cdot \sqrt{5})}{25}}

Next Step Prepare to Evaluate

∴

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{0.2 \cdot \frac{370 + (164 \cdot \sqrt{5})}{25}}

Next Step Evaluate

∴

r i = 2.76319454874843m

LAST Step Rounding Answer

∴

r i = 2.7632m

Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Insphere Radius of Deltoidal Hexecontahedron

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.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Deltoidal Hexecontahedron

SA:V of Deltoidal Hexecontahedron

SA:V of Deltoidal Hexecontahedron is what part of or fraction of total volume of Deltoidal Hexecontahedron is the total surface area.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Deltoidal Hexecontahedron

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 Deltoidal Hexecontahedron

Go Insphere Radius of Deltoidal Hexecontahedron

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot l e(Long)

Go Insphere Radius of Deltoidal Hexecontahedron given Short Edge

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{22 \cdot l e(Short)}{3 \cdot (7 - \sqrt{5})}

Go Insphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{d Symmetry}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

Go Insphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal

r i = \frac{3}{2} \cdot \sqrt{\frac{135 + (59 \cdot \sqrt{5})}{205}} \cdot \frac{11 \cdot d Non Symmetry}{\sqrt{\frac{470 + (156 \cdot \sqrt{5})}{5}}}

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

Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio evaluator 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 evaluate 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 evaluate Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio, enter SA:V of Deltoidal Hexecontahedron (AV) and hit the calculate button.

FAQs on Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio

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

The formula of Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio is expressed as 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). Here is an example- 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).

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

With SA:V of Deltoidal Hexecontahedron (AV) we can find Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio using the formula - 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). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Insphere Radius of Deltoidal Hexecontahedron?

Here are the different ways to Calculate Insphere Radius of Deltoidal Hexecontahedron-

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))

Can the Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio be negative?

No, the Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio?

Insphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio 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 Deltoidal Hexecontahedron given Surface to Volume Ratio can be measured.

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