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Circumsphere Radius of Small Stellated Dodecahedron given Volume Formula

GoCircumsphere Radius of Small Stellated Dodecahedron Formula

GoCircumsphere Radius of Small Stellated Dodecahedron given Ridge Length Formula

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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. Check FAQs

r c = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot ({(\frac{4 \cdot V}{5 \cdot (7 + 3 \cdot \sqrt{5})})}^{\frac{1}{3}})

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

Circumsphere Radius of Small Stellated Dodecahedron given Volume Example

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

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

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

24.8333 = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot ({(\frac{4 \cdot 17000}{5 \cdot (7 + 3 \cdot \sqrt{5})})}^{\frac{1}{3}})

24.8333m = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot ({(\frac{4 \cdot 17000m³}{5 \cdot (7 + 3 \cdot \sqrt{5})})}^{\frac{1}{3}})

24.8333 = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot ({(\frac{4 \cdot 17000}{5 \cdot (7 + 3 \cdot \sqrt{5})})}^{\frac{1}{3}})

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Circumsphere Radius of Small Stellated Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

r c = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot ({(\frac{4 \cdot V}{5 \cdot (7 + 3 \cdot \sqrt{5})})}^{\frac{1}{3}})

Next Step Substitute values of Variables

∴

r c = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot ({(\frac{4 \cdot 17000m³}{5 \cdot (7 + 3 \cdot \sqrt{5})})}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

r c = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot ({(\frac{4 \cdot 17000}{5 \cdot (7 + 3 \cdot \sqrt{5})})}^{\frac{1}{3}})

Next Step Evaluate

∴

r c = 24.833297419114m

LAST Step Rounding Answer

∴

r c = 24.8333m

Circumsphere Radius of Small Stellated Dodecahedron given Volume Formula Elements

Variables

Functions

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

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

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 Circumradius of Small Stellated Dodecahedron

Go Circumsphere Radius of Small Stellated Dodecahedron

r c = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot l e

Go Circumsphere Radius of Small Stellated Dodecahedron given Ridge Length

r c = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot (\frac{2 \cdot l Ridge}{1 + \sqrt{5}})

Go Circumsphere Radius of Small Stellated Dodecahedron given Pentagram Chord

r c = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot (\frac{l c(Pentagram)}{2 + \sqrt{5}})

Go Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height

r c = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot (\frac{5 \cdot h Pyramid}{\sqrt{25 + 10 \cdot \sqrt{5}}})

How to Evaluate Circumsphere Radius of Small Stellated Dodecahedron given Volume?

Circumsphere Radius of Small Stellated Dodecahedron given Volume evaluator uses Circumradius of Small Stellated Dodecahedron = ((sqrt(50+22*sqrt(5)))/4)*(((4*Volume of Small Stellated Dodecahedron)/(5*(7+3*sqrt(5))))^(1/3)) to evaluate the Circumradius of Small Stellated Dodecahedron, Circumsphere Radius of Small Stellated Dodecahedron given Volume formula is defined as the radius of the sphere that contains the Small Stellated Dodecahedron in such a way that all vertices are lying on the sphere, calculated using its volume. Circumradius of Small Stellated Dodecahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Small Stellated Dodecahedron given Volume

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

The formula of Circumsphere Radius of Small Stellated Dodecahedron given Volume is expressed as Circumradius of Small Stellated Dodecahedron = ((sqrt(50+22*sqrt(5)))/4)*(((4*Volume of Small Stellated Dodecahedron)/(5*(7+3*sqrt(5))))^(1/3)). Here is an example- 24.8333 = ((sqrt(50+22*sqrt(5)))/4)*(((4*17000)/(5*(7+3*sqrt(5))))^(1/3)).

How to calculate Circumsphere Radius of Small Stellated Dodecahedron given Volume?

With Volume of Small Stellated Dodecahedron (V) we can find Circumsphere Radius of Small Stellated Dodecahedron given Volume using the formula - Circumradius of Small Stellated Dodecahedron = ((sqrt(50+22*sqrt(5)))/4)*(((4*Volume of Small Stellated Dodecahedron)/(5*(7+3*sqrt(5))))^(1/3)). This formula also uses Square Root (sqrt) function(s).

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

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

Circumradius of Small Stellated Dodecahedron=((sqrt(50+22*sqrt(5)))/4)*Edge Length of Small Stellated Dodecahedron
Circumradius of Small Stellated Dodecahedron=((sqrt(50+22*sqrt(5)))/4)*((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))
Circumradius of Small Stellated Dodecahedron=((sqrt(50+22*sqrt(5)))/4)*(Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))

Can the Circumsphere Radius of Small Stellated Dodecahedron given Volume be negative?

No, the Circumsphere Radius of Small Stellated Dodecahedron given Volume, measured in Length cannot be negative.

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

Circumsphere Radius of Small Stellated Dodecahedron given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Circumsphere Radius of Small Stellated Dodecahedron given Volume can be measured.

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