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Midsphere Radius of Deltoidal Hexecontahedron given Volume 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{11 \cdot V}{45 \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}})}^{\frac{1}{3}}

r_m - Midsphere Radius of Deltoidal Hexecontahedron?V - Volume of Deltoidal Hexecontahedron?

Midsphere Radius of Deltoidal Hexecontahedron given Volume Example

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

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

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

17.5603 = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot {(\frac{11 \cdot 22200}{45 \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}})}^{\frac{1}{3}}

17.5603m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot {(\frac{11 \cdot 22200m³}{45 \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}})}^{\frac{1}{3}}

17.5603 = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot {(\frac{11 \cdot 22200}{45 \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}})}^{\frac{1}{3}}

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Midsphere Radius of Deltoidal Hexecontahedron given Volume Solution

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

FIRST Step Consider the formula

r m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot {(\frac{11 \cdot V}{45 \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot {(\frac{11 \cdot 22200m³}{45 \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r m = \frac{3}{20} \cdot (5 + (3 \cdot \sqrt{5})) \cdot {(\frac{11 \cdot 22200}{45 \cdot \sqrt{\frac{370 + (164 \cdot \sqrt{5})}{25}}})}^{\frac{1}{3}}

Next Step Evaluate

∴

r m = 17.5603292343601m

LAST Step Rounding Answer

∴

r m = 17.5603m

Midsphere Radius of Deltoidal Hexecontahedron given Volume 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

Volume of Deltoidal Hexecontahedron

Volume of Deltoidal Hexecontahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Volume?

Midsphere Radius of Deltoidal Hexecontahedron given Volume evaluator uses Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3) to evaluate the Midsphere Radius of Deltoidal Hexecontahedron, Midsphere Radius of Deltoidal Hexecontahedron given Volume 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 volume of Deltoidal Hexecontahedron. Midsphere Radius of Deltoidal Hexecontahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Deltoidal Hexecontahedron given Volume

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

The formula of Midsphere Radius of Deltoidal Hexecontahedron given Volume is expressed as Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3). Here is an example- 17.56033 = 3/20*(5+(3*sqrt(5)))*((11*22200)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3).

How to calculate Midsphere Radius of Deltoidal Hexecontahedron given Volume?

With Volume of Deltoidal Hexecontahedron (V) we can find Midsphere Radius of Deltoidal Hexecontahedron given Volume using the formula - Midsphere Radius of Deltoidal Hexecontahedron = 3/20*(5+(3*sqrt(5)))*((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3). 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 Volume be negative?

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

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

Midsphere Radius of Deltoidal Hexecontahedron given Volume 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 Volume can be measured.

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