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Edge Length of Rotunda given Surface to Volume Ratio Formula

GoEdge Length of Rotunda given Height Formula

GoEdge Length of Rotunda given Total Surface Area Formula

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

l e = \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}))}

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

Edge Length of Rotunda given Surface to Volume Ratio Example

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

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

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

10.768 = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{0.3 \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

10.768m = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{0.3m⁻¹ \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

10.768 = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{0.3 \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

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Edge Length of Rotunda given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

l e = \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}))}

Next Step Substitute values of Variables

∴

l e = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{0.3m⁻¹ \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

l e = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{0.3 \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

Next Step Evaluate

∴

l e = 10.7680283199277m

LAST Step Rounding Answer

∴

l e = 10.768m

Edge Length of Rotunda given Surface to Volume Ratio Formula Elements

Variables

Functions

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

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

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 Edge Length of Rotunda

Go Edge Length of Rotunda given Height

l e = \frac{h}{\sqrt{1 + \frac{2}{\sqrt{5}}}}

Go Edge Length of Rotunda given Total Surface Area

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

Go Edge Length of Rotunda given Volume

l e = {(\frac{V}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}}

Go Edge Length of Rotunda given Circumsphere Radius

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

How to Evaluate Edge Length of Rotunda given Surface to Volume Ratio?

Edge Length of Rotunda given Surface to Volume Ratio evaluator uses Edge Length of Rotunda = (1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/(Surface to Volume Ratio of Rotunda*1/12*(45+(17*sqrt(5)))) to evaluate the Edge Length of Rotunda, The Edge Length of Rotunda given Surface to Volume Ratio formula is defined as the length of any edge of the Rotunda and is calculated using the surface to volume ratio of the Rotunda. Edge Length of Rotunda is denoted by l_e symbol.

How to evaluate Edge Length of Rotunda given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Edge Length of Rotunda given Surface to Volume Ratio, enter Surface to Volume Ratio of Rotunda (R_A/V) and hit the calculate button.

FAQs on Edge Length of Rotunda given Surface to Volume Ratio

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

The formula of Edge Length of Rotunda given Surface to Volume Ratio is expressed as Edge Length of Rotunda = (1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/(Surface to Volume Ratio of Rotunda*1/12*(45+(17*sqrt(5)))). Here is an example- 10.76803 = (1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/(0.3*1/12*(45+(17*sqrt(5)))).

How to calculate Edge Length of Rotunda given Surface to Volume Ratio?

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

What are the other ways to Calculate Edge Length of Rotunda?

Here are the different ways to Calculate Edge Length of Rotunda-

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

Can the Edge Length of Rotunda given Surface to Volume Ratio be negative?

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

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

Edge Length of Rotunda given Surface to Volume Ratio is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Edge Length of Rotunda given Surface to Volume Ratio can be measured.

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