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Volume of Hexakis Icosahedron given Insphere Radius Formula

GoVolume of Hexakis Icosahedron given Short Edge Formula

GoVolume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Formula

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Volume of Hexakis Icosahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Icosahedron . Check FAQs

V = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{4 \cdot r i}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})}^{3})

V - Volume of Hexakis Icosahedron?r_i - Insphere Radius of Hexakis Icosahedron?

Volume of Hexakis Icosahedron given Insphere Radius Example

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Here is how the Volume of Hexakis Icosahedron given Insphere Radius equation looks like with Values.

Here is how the Volume of Hexakis Icosahedron given Insphere Radius equation looks like with Units.

Here is how the Volume of Hexakis Icosahedron given Insphere Radius equation looks like.

12000.898 = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{4 \cdot 14}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})}^{3})

12000.898m³ = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{4 \cdot 14m}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})}^{3})

12000.898 = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{4 \cdot 14}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})}^{3})

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Volume of Hexakis Icosahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Volume of Hexakis Icosahedron given Insphere Radius?

FIRST Step Consider the formula

V = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{4 \cdot r i}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})}^{3})

Next Step Substitute values of Variables

∴

V = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{4 \cdot 14m}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})}^{3})

Next Step Prepare to Evaluate

∴

V = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{4 \cdot 14}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})}^{3})

Next Step Evaluate

∴

V = 12000.8979611269m³

LAST Step Rounding Answer

∴

V = 12000.898m³

Volume of Hexakis Icosahedron given Insphere Radius Formula Elements

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Functions

Volume of Hexakis Icosahedron

Volume of Hexakis Icosahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Icosahedron .

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Hexakis Icosahedron

Insphere Radius of Hexakis Icosahedron

Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Hexakis Icosahedron

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 Volume of Hexakis Icosahedron

Go Volume of Hexakis Icosahedron given Short Edge

V = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{44 \cdot l e(Short)}{5 \cdot (7 - \sqrt{5})})}^{3})

Go Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

V = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot (\frac{8}{125}) \cdot ({l e(Truncated Icosidodecahedron)}^{3}) \cdot ({(\sqrt{15 \cdot (5 - \sqrt{5})})}^{3})

Go Volume of Hexakis Icosahedron given Total Surface Area

V = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{44 \cdot TSA}{15 \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})})}^{\frac{3}{2}})

Go Volume of Hexakis Icosahedron given Medium Edge

V = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{22 \cdot l e(Medium)}{3 \cdot (4 + \sqrt{5})})}^{3})

How to Evaluate Volume of Hexakis Icosahedron given Insphere Radius?

Volume of Hexakis Icosahedron given Insphere Radius evaluator uses Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5))))))^3) to evaluate the Volume of Hexakis Icosahedron, Volume of Hexakis Icosahedron given Insphere Radius formula is defined as an amount of three dimensional space covered by closed surface of Hexakis Icosahedron, calculated using insphere radius of Hexakis Icosahedron. Volume of Hexakis Icosahedron is denoted by V symbol.

How to evaluate Volume of Hexakis Icosahedron given Insphere Radius using this online evaluator? To use this online evaluator for Volume of Hexakis Icosahedron given Insphere Radius, enter Insphere Radius of Hexakis Icosahedron (r_i) and hit the calculate button.

FAQs on Volume of Hexakis Icosahedron given Insphere Radius

What is the formula to find Volume of Hexakis Icosahedron given Insphere Radius?

The formula of Volume of Hexakis Icosahedron given Insphere Radius is expressed as Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5))))))^3). Here is an example- 12000.9 = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((4*14)/(sqrt((15/241)*(275+(119*sqrt(5))))))^3).

How to calculate Volume of Hexakis Icosahedron given Insphere Radius?

With Insphere Radius of Hexakis Icosahedron (r_i) we can find Volume of Hexakis Icosahedron given Insphere Radius using the formula - Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5))))))^3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Hexakis Icosahedron?

Here are the different ways to Calculate Volume of Hexakis Icosahedron-

Volume of Hexakis Icosahedron=(25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))^3)
Volume of Hexakis Icosahedron=(25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(8/125)*(Truncated Edge of Hexakis Icosahedron^3)*((sqrt(15*(5-sqrt(5))))^3)
Volume of Hexakis Icosahedron=(25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((44*Total Surface Area of Hexakis Icosahedron)/(15*(sqrt(10*(417+(107*sqrt(5)))))))^(3/2))

Can the Volume of Hexakis Icosahedron given Insphere Radius be negative?

No, the Volume of Hexakis Icosahedron given Insphere Radius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Hexakis Icosahedron given Insphere Radius?

Volume of Hexakis Icosahedron given Insphere Radius is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Hexakis Icosahedron given Insphere Radius can be measured.

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