FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Surface to Volume Ratio of Rotunda Formula

GoSurface to Volume Ratio of Rotunda given Height Formula

GoSurface to Volume Ratio of Rotunda given Total Surface Area Formula

Fx Copy

LaTeX Copy

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}))})}{l e \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

R_A/V - Surface to Volume Ratio of Rotunda?l_e - Edge Length of Rotunda?

Surface to Volume Ratio of Rotunda Example

With values

With units

Only example

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

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

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

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

0.323m⁻¹ = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{10m \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

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

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Surface to Volume Ratio of Rotunda

Surface to Volume Ratio of Rotunda Solution

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

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}))})}{l e \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}))})}{10m \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}))})}{10 \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

Next Step Evaluate

∴

R A/V = 0.32304084959783m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.323m⁻¹

Surface to Volume Ratio of Rotunda 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

Edge Length of Rotunda

Edge Length of Rotunda is the length of any edge of the Rotunda.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 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}))}

Go Surface to Volume Ratio of Rotunda given Circumsphere Radius

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}))}

How to Evaluate Surface to Volume Ratio of Rotunda?

Surface to Volume Ratio of Rotunda evaluator uses 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)))) to evaluate the Surface to Volume Ratio of Rotunda, The Surface to Volume Ratio of Rotunda formula is defined as the numerical ratio of the total surface area of a Rotunda to the volume 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 using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Rotunda, enter Edge Length of Rotunda (l_e) and hit the calculate button.

FAQs on Surface to Volume Ratio of Rotunda

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

The formula of Surface to Volume Ratio of Rotunda is expressed as 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)))). Here is an example- 0.323041 = (1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/(10*1/12*(45+(17*sqrt(5)))).

How to calculate Surface to Volume Ratio of Rotunda?

With Edge Length of Rotunda (l_e) we can find Surface to Volume Ratio of Rotunda using the formula - 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)))). 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))))))/(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))))
Surface to Volume Ratio of Rotunda=(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/((Volume of Rotunda/(1/12*(45+(17*sqrt(5)))))^(1/3)*1/12*(45+(17*sqrt(5))))

Can the Surface to Volume Ratio of Rotunda be negative?

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

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

Surface to Volume Ratio of Rotunda 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 can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit