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Volume of Small Stellated Dodecahedron given Circumradius Formula

GoVolume of Small Stellated Dodecahedron Formula

GoVolume of Small Stellated Dodecahedron given Ridge Length Formula

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Volume of Small Stellated Dodecahedron is the total quantity of three-dimensional space enclosed by the surface of the Small Stellated Dodecahedron. Check FAQs

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot r c}{\sqrt{50 + 22 \cdot \sqrt{5}}})}^{3})

V - Volume of Small Stellated Dodecahedron?r_c - Circumradius of Small Stellated Dodecahedron?

Volume of Small Stellated Dodecahedron given Circumradius Example

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Here is how the Volume of Small Stellated Dodecahedron given Circumradius equation looks like with Values.

Here is how the Volume of Small Stellated Dodecahedron given Circumradius equation looks like with Units.

Here is how the Volume of Small Stellated Dodecahedron given Circumradius equation looks like.

17344.6595 = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot 25}{\sqrt{50 + 22 \cdot \sqrt{5}}})}^{3})

17344.6595m³ = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot 25m}{\sqrt{50 + 22 \cdot \sqrt{5}}})}^{3})

17344.6595 = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot 25}{\sqrt{50 + 22 \cdot \sqrt{5}}})}^{3})

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Volume of Small Stellated Dodecahedron given Circumradius Solution

Follow our step by step solution on how to calculate Volume of Small Stellated Dodecahedron given Circumradius?

FIRST Step Consider the formula

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot r c}{\sqrt{50 + 22 \cdot \sqrt{5}}})}^{3})

Next Step Substitute values of Variables

∴

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot 25m}{\sqrt{50 + 22 \cdot \sqrt{5}}})}^{3})

Next Step Prepare to Evaluate

∴

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot 25}{\sqrt{50 + 22 \cdot \sqrt{5}}})}^{3})

Next Step Evaluate

∴

V = 17344.659464111m³

LAST Step Rounding Answer

∴

V = 17344.6595m³

Volume of Small Stellated Dodecahedron given Circumradius Formula Elements

Variables

Functions

Volume of Small Stellated Dodecahedron

Volume of Small Stellated Dodecahedron is the total quantity of three-dimensional space enclosed by the surface of the Small Stellated Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Small Stellated Dodecahedron

Circumradius of Small Stellated Dodecahedron

Circumradius of Small Stellated Dodecahedron is the radius of sphere that contains the Small Stellated Dodecahedron in such a way that all vertices are lying on sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Small Stellated Dodecahedron

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 Small Stellated Dodecahedron

Go Volume of Small Stellated Dodecahedron

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(l e)}^{3})

Go Volume of Small Stellated Dodecahedron given Ridge Length

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{2 \cdot l Ridge}{1 + \sqrt{5}})}^{3})

Go Volume of Small Stellated Dodecahedron given Pentagram Chord

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{l c(Pentagram)}{2 + \sqrt{5}})}^{3})

Go Volume of Small Stellated Dodecahedron given Pyramidal Height

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{5 \cdot h Pyramid}{\sqrt{25 + 10 \cdot \sqrt{5}}})}^{3})

How to Evaluate Volume of Small Stellated Dodecahedron given Circumradius?

Volume of Small Stellated Dodecahedron given Circumradius evaluator uses Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*(((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))^3) to evaluate the Volume of Small Stellated Dodecahedron, Volume of Small Stellated Dodecahedron given Circumradius formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Small Stellated Dodecahedron, calculated using its circumradius. Volume of Small Stellated Dodecahedron is denoted by V symbol.

How to evaluate Volume of Small Stellated Dodecahedron given Circumradius using this online evaluator? To use this online evaluator for Volume of Small Stellated Dodecahedron given Circumradius, enter Circumradius of Small Stellated Dodecahedron (r_c) and hit the calculate button.

FAQs on Volume of Small Stellated Dodecahedron given Circumradius

What is the formula to find Volume of Small Stellated Dodecahedron given Circumradius?

The formula of Volume of Small Stellated Dodecahedron given Circumradius is expressed as Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*(((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))^3). Here is an example- 17344.66 = ((5/4)*(7+3*sqrt(5)))*(((4*25)/(sqrt(50+22*sqrt(5))))^3).

How to calculate Volume of Small Stellated Dodecahedron given Circumradius?

With Circumradius of Small Stellated Dodecahedron (r_c) we can find Volume of Small Stellated Dodecahedron given Circumradius using the formula - Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*(((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))^3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Small Stellated Dodecahedron?

Here are the different ways to Calculate Volume of Small Stellated Dodecahedron-

Volume of Small Stellated Dodecahedron=((5/4)*(7+3*sqrt(5)))*((Edge Length of Small Stellated Dodecahedron)^3)
Volume of Small Stellated Dodecahedron=((5/4)*(7+3*sqrt(5)))*(((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))^3)
Volume of Small Stellated Dodecahedron=((5/4)*(7+3*sqrt(5)))*((Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))^3)

Can the Volume of Small Stellated Dodecahedron given Circumradius be negative?

No, the Volume of Small Stellated Dodecahedron given Circumradius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Small Stellated Dodecahedron given Circumradius?

Volume of Small Stellated Dodecahedron given Circumradius 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 Small Stellated Dodecahedron given Circumradius can be measured.

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