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Volume of Pentagonal Hexecontahedron given Midsphere Radius Formula

GoVolume of Pentagonal Hexecontahedron given Long Edge Formula

GoVolume of Pentagonal Hexecontahedron Formula

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Volume of Pentagonal Hexecontahedron is the quantity of three dimensional space enclosed by the entire surface of Pentagonal Hexecontahedron. Check FAQs

V = 5 \cdot {(\frac{r m}{\sqrt{\frac{1 + 0.4715756}{2 \cdot (1 - 2 \cdot 0.4715756)}}})}^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

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

Volume of Pentagonal Hexecontahedron given Midsphere Radius Example

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

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

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

13756.2339 = 5 \cdot {(\frac{15}{\sqrt{\frac{1 + 0.4715756}{2 \cdot (1 - 2 \cdot 0.4715756)}}})}^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

13756.2339m³ = 5 \cdot {(\frac{15m}{\sqrt{\frac{1 + 0.4715756}{2 \cdot (1 - 2 \cdot 0.4715756)}}})}^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

13756.2339 = 5 \cdot {(\frac{15}{\sqrt{\frac{1 + 0.4715756}{2 \cdot (1 - 2 \cdot 0.4715756)}}})}^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

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3D Geometry » fx Volume of Pentagonal Hexecontahedron given Midsphere Radius

Volume of Pentagonal Hexecontahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

V = 5 \cdot {(\frac{r m}{\sqrt{\frac{1 + 0.4715756}{2 \cdot (1 - 2 \cdot 0.4715756)}}})}^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

Next Step Substitute values of Variables

∴

V = 5 \cdot {(\frac{15m}{\sqrt{\frac{1 + 0.4715756}{2 \cdot (1 - 2 \cdot 0.4715756)}}})}^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

Next Step Prepare to Evaluate

∴

V = 5 \cdot {(\frac{15}{\sqrt{\frac{1 + 0.4715756}{2 \cdot (1 - 2 \cdot 0.4715756)}}})}^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

Next Step Evaluate

∴

V = 13756.233949899m³

LAST Step Rounding Answer

∴

V = 13756.2339m³

Volume of Pentagonal Hexecontahedron given Midsphere Radius Formula Elements

Variables

Functions

Volume of Pentagonal Hexecontahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Pentagonal Hexecontahedron

Midsphere Radius of Pentagonal Hexecontahedron

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

Go Volume of Pentagonal Hexecontahedron given Long Edge

V = 5 \cdot {(\frac{31 \cdot l e(Long)}{((7 \cdot [phi] + 2) + (5 \cdot [phi] - 3) + 2 \cdot (8 - 3 \cdot [phi])) \cdot \sqrt{2 + 2 \cdot (0.4715756)}})}^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

Go Volume of Pentagonal Hexecontahedron

V = 5 \cdot {l e(Short)}^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

Go Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge

V = 5 \cdot {(\frac{l e(Snub Dodecahedron)}{\sqrt{2 + 2 \cdot (0.4715756)}})}^{3} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

Go Volume of Pentagonal Hexecontahedron given Total Surface Area

V = 5 \cdot {(\frac{TSA \cdot (1 - 2 \cdot {0.4715756}^{2})}{30 \cdot (2 + 3 \cdot 0.4715756) \cdot \sqrt{1 - {0.4715756}^{2}}})}^{\frac{3}{2}} \cdot \frac{(1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)}{(1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}

How to Evaluate Volume of Pentagonal Hexecontahedron given Midsphere Radius?

Volume of Pentagonal Hexecontahedron given Midsphere Radius evaluator uses Volume of Pentagonal Hexecontahedron = 5*(Midsphere Radius of Pentagonal Hexecontahedron/sqrt((1+0.4715756)/(2*(1-2*0.4715756))))^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)) to evaluate the Volume of Pentagonal Hexecontahedron, Volume of Pentagonal Hexecontahedron given Midsphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Pentagonal Hexecontahedron, calculated using midsphere radius of Pentagonal Hexecontahedron. Volume of Pentagonal Hexecontahedron is denoted by V symbol.

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

FAQs on Volume of Pentagonal Hexecontahedron given Midsphere Radius

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

The formula of Volume of Pentagonal Hexecontahedron given Midsphere Radius is expressed as Volume of Pentagonal Hexecontahedron = 5*(Midsphere Radius of Pentagonal Hexecontahedron/sqrt((1+0.4715756)/(2*(1-2*0.4715756))))^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)). Here is an example- 13756.23 = 5*(15/sqrt((1+0.4715756)/(2*(1-2*0.4715756))))^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)).

How to calculate Volume of Pentagonal Hexecontahedron given Midsphere Radius?

With Midsphere Radius of Pentagonal Hexecontahedron (r_m) we can find Volume of Pentagonal Hexecontahedron given Midsphere Radius using the formula - Volume of Pentagonal Hexecontahedron = 5*(Midsphere Radius of Pentagonal Hexecontahedron/sqrt((1+0.4715756)/(2*(1-2*0.4715756))))^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Pentagonal Hexecontahedron?

Here are the different ways to Calculate Volume of Pentagonal Hexecontahedron-

Volume of Pentagonal Hexecontahedron=5*((31*Long Edge of Pentagonal Hexecontahedron)/(((7*[phi]+2)+(5*[phi]-3)+2*(8-3*[phi]))*sqrt(2+2*(0.4715756))))^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756))
Volume of Pentagonal Hexecontahedron=5*Short Edge of Pentagonal Hexecontahedron^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756))
Volume of Pentagonal Hexecontahedron=5*(Snub Dodecahedron Edge Pentagonal Hexecontahedron/sqrt(2+2*(0.4715756)))^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756))

Can the Volume of Pentagonal Hexecontahedron given Midsphere Radius be negative?

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

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

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

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