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Midsphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio Formula

GoMidsphere Radius of Deltoidal Hexecontahedron Formula

GoMidsphere Radius of Deltoidal Hexecontahedron given Short Edge Formula

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

r m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{AV \cdot \frac{370 + (164 \cdot \sqrt{5})}{25}}

r_m - Midsphere Radius of Deltoidal Hexecontahedron?AV - SA:V of Deltoidal Hexecontahedron?

Midsphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio Example

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

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

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

2.8352 = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot \frac{\frac{9}{45} \cdot \sqrt{10 \cdot (157 + (31 \cdot \sqrt{5}))}}{0.2 \cdot \frac{370 + (164 \cdot \sqrt{5})}{25}}

2.8352m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \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}}

2.8352 = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \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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Midsphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

r m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \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 m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \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 m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \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 m = 2.83518627227622m

LAST Step Rounding Answer

∴

r m = 2.8352m

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

Variables

Functions

Midsphere Radius of Deltoidal Hexecontahedron

Midsphere Radius of Deltoidal Hexecontahedron is the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron 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 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 Midsphere Radius of Deltoidal Hexecontahedron

Go Midsphere Radius of Deltoidal Hexecontahedron

r m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot l e(Long)

Go Midsphere Radius of Deltoidal Hexecontahedron given Short Edge

r m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot \frac{22 \cdot l e(Short)}{3 \cdot (7 - \sqrt{5})}

Go Midsphere Radius of Deltoidal Hexecontahedron given Symmetry Diagonal

r m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot \frac{d Symmetry}{3 \cdot \sqrt{\frac{5 - \sqrt{5}}{20}}}

Go Midsphere Radius of Deltoidal Hexecontahedron given NonSymmetry Diagonal

r m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot \frac{11 \cdot d Non Symmetry}{\sqrt{\frac{470 + (156 \cdot \sqrt{5})}{5}}}

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

Midsphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio evaluator uses Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*(370+(164*sqrt(5)))/25) to evaluate the Midsphere Radius of Deltoidal Hexecontahedron, Midsphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio formula is defined as the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere, calculated using surface to volume ratio of Deltoidal Hexecontahedron. Midsphere Radius of Deltoidal Hexecontahedron is denoted by r_m symbol.

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

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

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

The formula of Midsphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio is expressed as Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*(370+(164*sqrt(5)))/25). Here is an example- 2.835186 = 3/20*(5+(3*sqrt(5)))*(9/45*sqrt(10*(157+(31*sqrt(5)))))/(0.2*(370+(164*sqrt(5)))/25).

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

With SA:V of Deltoidal Hexecontahedron (AV) we can find Midsphere Radius of Deltoidal Hexecontahedron given Surface to Volume Ratio using the formula - Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*(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 Midsphere Radius of Deltoidal Hexecontahedron?

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

Midsphere Radius of Deltoidal Hexecontahedron=3/20*(5+(3*sqrt(5)))*Long Edge of Deltoidal Hexecontahedron
Midsphere Radius of Deltoidal Hexecontahedron=3/20*(5+(3*sqrt(5)))*(22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))
Midsphere Radius of Deltoidal Hexecontahedron=3/20*(5+(3*sqrt(5)))*Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))

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

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

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

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

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