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Circumsphere Radius of Rotunda given Volume Formula

GoCircumsphere Radius of Rotunda Formula

GoCircumsphere Radius of Rotunda given Height Formula

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Circumsphere Radius of Rotunda is the radius of the sphere that contains the Rotunda in such a way that all the vertices of the Rotunda are touching the sphere. Check FAQs

r c = \frac{1}{2} \cdot (1 + \sqrt{5}) \cdot {(\frac{V}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}}

r_c - Circumsphere Radius of Rotunda?V - Volume of Rotunda?

Circumsphere Radius of Rotunda given Volume Example

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Here is how the Circumsphere Radius of Rotunda given Volume equation looks like with Values.

Here is how the Circumsphere Radius of Rotunda given Volume equation looks like with Units.

Here is how the Circumsphere Radius of Rotunda given Volume equation looks like.

16.2442 = \frac{1}{2} \cdot (1 + \sqrt{5}) \cdot {(\frac{7000}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}}

16.2442m = \frac{1}{2} \cdot (1 + \sqrt{5}) \cdot {(\frac{7000m³}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}}

16.2442 = \frac{1}{2} \cdot (1 + \sqrt{5}) \cdot {(\frac{7000}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}}

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Circumsphere Radius of Rotunda given Volume Solution

Follow our step by step solution on how to calculate Circumsphere Radius of Rotunda given Volume?

FIRST Step Consider the formula

r c = \frac{1}{2} \cdot (1 + \sqrt{5}) \cdot {(\frac{V}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r c = \frac{1}{2} \cdot (1 + \sqrt{5}) \cdot {(\frac{7000m³}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r c = \frac{1}{2} \cdot (1 + \sqrt{5}) \cdot {(\frac{7000}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}}

Next Step Evaluate

∴

r c = 16.2442037382901m

LAST Step Rounding Answer

∴

r c = 16.2442m

Circumsphere Radius of Rotunda given Volume Formula Elements

Variables

Functions

Circumsphere Radius of Rotunda

Circumsphere Radius of Rotunda is the radius of the sphere that contains the Rotunda in such a way that all the vertices of the Rotunda are touching the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Rotunda

Volume of Rotunda

Volume of Rotunda is the total quantity of three-dimensional space enclosed by the surface of the Rotunda.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Rotunda

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 Circumsphere Radius of Rotunda

Go Circumsphere Radius of Rotunda

r c = \frac{1}{2} \cdot (1 + \sqrt{5}) \cdot l e

Go Circumsphere Radius of Rotunda given Height

r c = \frac{1}{2} \cdot (1 + \sqrt{5}) \cdot \frac{h}{\sqrt{1 + \frac{2}{\sqrt{5}}}}

Go Circumsphere Radius of Rotunda given Total Surface Area

r c = \frac{1}{2} \cdot (1 + \sqrt{5}) \cdot \sqrt{\frac{TSA}{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}}

Go Circumsphere Radius of Rotunda given Surface to Volume Ratio

r c = \frac{1}{2} \cdot (1 + \sqrt{5}) \cdot (\frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{R A/V \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})

How to Evaluate Circumsphere Radius of Rotunda given Volume?

Circumsphere Radius of Rotunda given Volume evaluator uses Circumsphere Radius of Rotunda = 1/2*(1+sqrt(5))*(Volume of Rotunda/(1/12*(45+(17*sqrt(5)))))^(1/3) to evaluate the Circumsphere Radius of Rotunda, The Circumsphere Radius of Rotunda given Volume formula is defined as the radius of the sphere that contains the Rotunda in such a way that all the vertices of the Rotunda are touching the sphere and is calculated using the volume of the Rotunda. Circumsphere Radius of Rotunda is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Rotunda given Volume

What is the formula to find Circumsphere Radius of Rotunda given Volume?

The formula of Circumsphere Radius of Rotunda given Volume is expressed as Circumsphere Radius of Rotunda = 1/2*(1+sqrt(5))*(Volume of Rotunda/(1/12*(45+(17*sqrt(5)))))^(1/3). Here is an example- 16.2442 = 1/2*(1+sqrt(5))*(7000/(1/12*(45+(17*sqrt(5)))))^(1/3).

How to calculate Circumsphere Radius of Rotunda given Volume?

With Volume of Rotunda (V) we can find Circumsphere Radius of Rotunda given Volume using the formula - Circumsphere Radius of Rotunda = 1/2*(1+sqrt(5))*(Volume of Rotunda/(1/12*(45+(17*sqrt(5)))))^(1/3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumsphere Radius of Rotunda?

Here are the different ways to Calculate Circumsphere Radius of Rotunda-

Circumsphere Radius of Rotunda=1/2*(1+sqrt(5))*Edge Length of Rotunda
Circumsphere Radius of Rotunda=1/2*(1+sqrt(5))*Height of Rotunda/(sqrt(1+2/sqrt(5)))
Circumsphere Radius of Rotunda=1/2*(1+sqrt(5))*sqrt(Total Surface Area of Rotunda/(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))))

Can the Circumsphere Radius of Rotunda given Volume be negative?

No, the Circumsphere Radius of Rotunda given Volume, measured in Length cannot be negative.

Which unit is used to measure Circumsphere Radius of Rotunda given Volume?

Circumsphere Radius of Rotunda 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 Rotunda given Volume can be measured.

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