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Surface to Volume Ratio of Rotunda given Circumsphere Radius Formula

GoSurface to Volume Ratio of Rotunda Formula

GoSurface to Volume Ratio of Rotunda given Height Formula

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Surface to Volume Ratio of Rotunda is the numerical ratio of the total surface area of a Rotunda to the volume of the Rotunda. Check FAQs

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

R_A/V - Surface to Volume Ratio of Rotunda?r_c - Circumsphere Radius of Rotunda?

Surface to Volume Ratio of Rotunda given Circumsphere Radius Example

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

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

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

0.3267 = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{\frac{2 \cdot 16}{1 + \sqrt{5}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

0.3267m⁻¹ = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{\frac{2 \cdot 16m}{1 + \sqrt{5}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

0.3267 = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{\frac{2 \cdot 16}{1 + \sqrt{5}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

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Surface to Volume Ratio of Rotunda given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{\frac{2 \cdot 16m}{1 + \sqrt{5}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

R A/V = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{\frac{2 \cdot 16}{1 + \sqrt{5}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

Next Step Evaluate

∴

R A/V = 0.326681921502458m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.3267m⁻¹

Surface to Volume Ratio of Rotunda given Circumsphere Radius Formula Elements

Variables

Functions

Surface to Volume Ratio of Rotunda

Surface to Volume Ratio of Rotunda is the numerical ratio of the total surface area of a Rotunda to the volume of the Rotunda.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Rotunda

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

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 Surface to Volume Ratio of Rotunda

Go Surface to Volume Ratio of Rotunda

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

Go Surface to Volume Ratio of Rotunda given Height

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

Go Surface to Volume Ratio of Rotunda given Total Surface Area

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

Go Surface to Volume Ratio of Rotunda given Volume

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

How to Evaluate Surface to Volume Ratio of Rotunda given Circumsphere Radius?

Surface to Volume Ratio of Rotunda given Circumsphere Radius evaluator uses Surface to Volume Ratio of Rotunda = (1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/((2*Circumsphere Radius of Rotunda)/(1+sqrt(5))*1/12*(45+(17*sqrt(5)))) to evaluate the Surface to Volume Ratio of Rotunda, The Surface to Volume Ratio of Rotunda given Circumsphere Radius formula is defined as the numerical ratio of the total surface area of a Rotunda to the volume of the Rotunda and is calculated using the circumsphere radius of the Rotunda. Surface to Volume Ratio of Rotunda is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Rotunda given Circumsphere Radius

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

The formula of Surface to Volume Ratio of Rotunda given Circumsphere Radius is expressed as Surface to Volume Ratio of Rotunda = (1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/((2*Circumsphere Radius of Rotunda)/(1+sqrt(5))*1/12*(45+(17*sqrt(5)))). Here is an example- 0.326682 = (1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/((2*16)/(1+sqrt(5))*1/12*(45+(17*sqrt(5)))).

How to calculate Surface to Volume Ratio of Rotunda given Circumsphere Radius?

With Circumsphere Radius of Rotunda (r_c) we can find Surface to Volume Ratio of Rotunda given Circumsphere Radius using the formula - Surface to Volume Ratio of Rotunda = (1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/((2*Circumsphere Radius of Rotunda)/(1+sqrt(5))*1/12*(45+(17*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Rotunda?

Here are the different ways to Calculate Surface to Volume Ratio of Rotunda-

Surface to Volume Ratio of Rotunda=(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/(Edge Length of Rotunda*1/12*(45+(17*sqrt(5))))
Surface to Volume Ratio of Rotunda=(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/(Height of Rotunda/(sqrt(1+2/sqrt(5)))*1/12*(45+(17*sqrt(5))))
Surface to Volume Ratio of Rotunda=(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/(sqrt(Total Surface Area of Rotunda/(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))))*1/12*(45+(17*sqrt(5))))

Can the Surface to Volume Ratio of Rotunda given Circumsphere Radius be negative?

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

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

Surface to Volume Ratio of Rotunda given Circumsphere Radius is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Rotunda given Circumsphere Radius can be measured.

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