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Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes Formula

GoSurface to Volume Ratio of Ellipsoid Formula

GoSurface to Volume Ratio of Ellipsoid given Volume Formula

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Surface to Volume Ratio of Ellipsoid is defined as what part of or fraction of total volume of Ellipsoid is the total surface area. Check FAQs

R A/V = \frac{SA}{\frac{4 \cdot π \cdot a \cdot b}{3} \cdot {(\frac{(3 \cdot {(\frac{SA}{4 \cdot π})}^{1.6075}) - {(a \cdot b)}^{1.6075}}{a^{1.6075} + b^{1.6075}})}^{\frac{1}{1.6075}}}

R_A/V - Surface to Volume Ratio of Ellipsoid?SA - Surface Area of Ellipsoid?a - First Semi Axis of Ellipsoid?b - Second Semi Axis of Ellipsoid?π - Archimedes' constant?

Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes Example

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Here is how the Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes equation looks like with Values.

Here is how the Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes equation looks like with Units.

Here is how the Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes equation looks like.

0.5187 = \frac{600}{\frac{4 \cdot 3.1416 \cdot 10 \cdot 7}{3} \cdot {(\frac{(3 \cdot {(\frac{600}{4 \cdot 3.1416})}^{1.6075}) - {(10 \cdot 7)}^{1.6075}}{10^{1.6075} + 7^{1.6075}})}^{\frac{1}{1.6075}}}

0.5187m⁻¹ = \frac{600m²}{\frac{4 \cdot 3.1416 \cdot 10m \cdot 7m}{3} \cdot {(\frac{(3 \cdot {(\frac{600m²}{4 \cdot 3.1416})}^{1.6075}) - {(10m \cdot 7m)}^{1.6075}}{{10m}^{1.6075} + {7m}^{1.6075}})}^{\frac{1}{1.6075}}}

0.5187 = \frac{600}{\frac{4 \cdot 3.1416 \cdot 10 \cdot 7}{3} \cdot {(\frac{(3 \cdot {(\frac{600}{4 \cdot 3.1416})}^{1.6075}) - {(10 \cdot 7)}^{1.6075}}{10^{1.6075} + 7^{1.6075}})}^{\frac{1}{1.6075}}}

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Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes?

FIRST Step Consider the formula

R A/V = \frac{SA}{\frac{4 \cdot π \cdot a \cdot b}{3} \cdot {(\frac{(3 \cdot {(\frac{SA}{4 \cdot π})}^{1.6075}) - {(a \cdot b)}^{1.6075}}{a^{1.6075} + b^{1.6075}})}^{\frac{1}{1.6075}}}

Next Step Substitute values of Variables

∴

R A/V = \frac{600m²}{\frac{4 \cdot π \cdot 10m \cdot 7m}{3} \cdot {(\frac{(3 \cdot {(\frac{600m²}{4 \cdot π})}^{1.6075}) - {(10m \cdot 7m)}^{1.6075}}{{10m}^{1.6075} + {7m}^{1.6075}})}^{\frac{1}{1.6075}}}

Next Step Substitute values of Constants

∴

R A/V = \frac{600m²}{\frac{4 \cdot 3.1416 \cdot 10m \cdot 7m}{3} \cdot {(\frac{(3 \cdot {(\frac{600m²}{4 \cdot 3.1416})}^{1.6075}) - {(10m \cdot 7m)}^{1.6075}}{{10m}^{1.6075} + {7m}^{1.6075}})}^{\frac{1}{1.6075}}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{600}{\frac{4 \cdot 3.1416 \cdot 10 \cdot 7}{3} \cdot {(\frac{(3 \cdot {(\frac{600}{4 \cdot 3.1416})}^{1.6075}) - {(10 \cdot 7)}^{1.6075}}{10^{1.6075} + 7^{1.6075}})}^{\frac{1}{1.6075}}}

Next Step Evaluate

∴

R A/V = 0.518748657684925m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.5187m⁻¹

Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes Formula Elements

Variables

Constants

Surface to Volume Ratio of Ellipsoid

Surface to Volume Ratio of Ellipsoid is defined as what part of or fraction of total volume of Ellipsoid is the total surface area.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Ellipsoid

Surface Area of Ellipsoid

Surface Area of Ellipsoid is the amount or quantity of two dimensional space covered on the surface of Ellipsoid.

Symbol: SA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Surface Area of Ellipsoid

First Semi Axis of Ellipsoid

First Semi Axis of Ellipsoid is the length of the segment of first cartesian coordinate axis from the center of the Ellipsoid to its surface.

Symbol: a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find First Semi Axis of Ellipsoid

Second Semi Axis of Ellipsoid

Second Semi Axis of Ellipsoid is the length of the segment of second cartesian coordinate axis from the center of the Ellipsoid to its surface.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Second Semi Axis of Ellipsoid

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Surface to Volume Ratio of Ellipsoid

Go Surface to Volume Ratio of Ellipsoid

R A/V = \frac{3 \cdot {(\frac{{(a \cdot b)}^{1.6075} + {(b \cdot c)}^{1.6075} + {(a \cdot c)}^{1.6075}}{3})}^{\frac{1}{1.6075}}}{a \cdot b \cdot c}

Go Surface to Volume Ratio of Ellipsoid given Volume

R A/V = \frac{4 \cdot π \cdot {(\frac{{(a \cdot b)}^{1.6075} + {(b \cdot c)}^{1.6075} + {(a \cdot c)}^{1.6075}}{3})}^{\frac{1}{1.6075}}}{V}

Go Surface to Volume Ratio of Ellipsoid given Surface Area

R A/V = \frac{SA}{\frac{4}{3} \cdot π \cdot a \cdot b \cdot c}

Go Surface to Volume Ratio of Ellipsoid given Surface Area, Second and Third Semi Axes

R A/V = \frac{SA}{\frac{4 \cdot π \cdot b \cdot c}{3} \cdot {(\frac{(3 \cdot {(\frac{SA}{4 \cdot π})}^{1.6075}) - {(b \cdot c)}^{1.6075}}{b^{1.6075} + c^{1.6075}})}^{\frac{1}{1.6075}}}

How to Evaluate Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes?

Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes evaluator uses Surface to Volume Ratio of Ellipsoid = Surface Area of Ellipsoid/((4*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)/3*(((3*(Surface Area of Ellipsoid/(4*pi))^1.6075)-(First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)^1.6075)/(First Semi Axis of Ellipsoid^1.6075+Second Semi Axis of Ellipsoid^1.6075))^(1/1.6075)) to evaluate the Surface to Volume Ratio of Ellipsoid, The Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes formula is defined as what part of total volume of Ellipsoid is its total surface area, calculated using surface area, first and second semi axes of Ellipsoid. Surface to Volume Ratio of Ellipsoid is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes, enter Surface Area of Ellipsoid (SA), First Semi Axis of Ellipsoid (a) & Second Semi Axis of Ellipsoid (b) and hit the calculate button.

FAQs on Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes

What is the formula to find Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes?

The formula of Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes is expressed as Surface to Volume Ratio of Ellipsoid = Surface Area of Ellipsoid/((4*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)/3*(((3*(Surface Area of Ellipsoid/(4*pi))^1.6075)-(First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)^1.6075)/(First Semi Axis of Ellipsoid^1.6075+Second Semi Axis of Ellipsoid^1.6075))^(1/1.6075)). Here is an example- 0.518749 = 600/((4*pi*10*7)/3*(((3*(600/(4*pi))^1.6075)-(10*7)^1.6075)/(10^1.6075+7^1.6075))^(1/1.6075)).

How to calculate Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes?

With Surface Area of Ellipsoid (SA), First Semi Axis of Ellipsoid (a) & Second Semi Axis of Ellipsoid (b) we can find Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes using the formula - Surface to Volume Ratio of Ellipsoid = Surface Area of Ellipsoid/((4*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)/3*(((3*(Surface Area of Ellipsoid/(4*pi))^1.6075)-(First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)^1.6075)/(First Semi Axis of Ellipsoid^1.6075+Second Semi Axis of Ellipsoid^1.6075))^(1/1.6075)). This formula also uses Archimedes' constant .

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

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

Surface to Volume Ratio of Ellipsoid=(3*(((First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)^(1.6075)+(Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^(1.6075)+(First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^(1.6075))/3)^(1/1.6075))/(First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)
Surface to Volume Ratio of Ellipsoid=(4*pi*(((First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)^(1.6075)+(Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^(1.6075)+(First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^(1.6075))/3)^(1/1.6075))/Volume of Ellipsoid
Surface to Volume Ratio of Ellipsoid=Surface Area of Ellipsoid/(4/3*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)

Can the Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes be negative?

No, the Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes?

Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes 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 Ellipsoid given Surface Area, First and Second Semi Axes can be measured.

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Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes Formula

​GoSurface to Volume Ratio of Ellipsoid Formula

​GoSurface to Volume Ratio of Ellipsoid given Volume Formula

Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes Example

Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes Solution

Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes Formula Elements

Other Formulas to find Surface to Volume Ratio of Ellipsoid

How to Evaluate Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes?

FAQs on Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes

Variable Name

GoSurface to Volume Ratio of Ellipsoid Formula

GoSurface to Volume Ratio of Ellipsoid given Volume Formula