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Surface to Volume Ratio of Ellipsoid given Volume, First and Third 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{4 \cdot π \cdot {(\frac{{(\frac{3 \cdot V}{4 \cdot π \cdot c})}^{1.6075} + {(\frac{3 \cdot V}{4 \cdot π \cdot a})}^{1.6075} + {(a \cdot c)}^{1.6075}}{3})}^{\frac{1}{1.6075}}}{V}

R_A/V - Surface to Volume Ratio of Ellipsoid?V - Volume of Ellipsoid?c - Third Semi Axis of Ellipsoid?a - First Semi Axis of Ellipsoid?π - Archimedes' constant?

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

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

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

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

0.5115 = \frac{4 \cdot 3.1416 \cdot {(\frac{{(\frac{3 \cdot 1200}{4 \cdot 3.1416 \cdot 4})}^{1.6075} + {(\frac{3 \cdot 1200}{4 \cdot 3.1416 \cdot 10})}^{1.6075} + {(10 \cdot 4)}^{1.6075}}{3})}^{\frac{1}{1.6075}}}{1200}

0.5115m⁻¹ = \frac{4 \cdot 3.1416 \cdot {(\frac{{(\frac{3 \cdot 1200m³}{4 \cdot 3.1416 \cdot 4m})}^{1.6075} + {(\frac{3 \cdot 1200m³}{4 \cdot 3.1416 \cdot 10m})}^{1.6075} + {(10m \cdot 4m)}^{1.6075}}{3})}^{\frac{1}{1.6075}}}{1200m³}

0.5115 = \frac{4 \cdot 3.1416 \cdot {(\frac{{(\frac{3 \cdot 1200}{4 \cdot 3.1416 \cdot 4})}^{1.6075} + {(\frac{3 \cdot 1200}{4 \cdot 3.1416 \cdot 10})}^{1.6075} + {(10 \cdot 4)}^{1.6075}}{3})}^{\frac{1}{1.6075}}}{1200}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{4 \cdot π \cdot {(\frac{{(\frac{3 \cdot 1200m³}{4 \cdot π \cdot 4m})}^{1.6075} + {(\frac{3 \cdot 1200m³}{4 \cdot π \cdot 10m})}^{1.6075} + {(10m \cdot 4m)}^{1.6075}}{3})}^{\frac{1}{1.6075}}}{1200m³}

Next Step Substitute values of Constants

∴

R A/V = \frac{4 \cdot 3.1416 \cdot {(\frac{{(\frac{3 \cdot 1200m³}{4 \cdot 3.1416 \cdot 4m})}^{1.6075} + {(\frac{3 \cdot 1200m³}{4 \cdot 3.1416 \cdot 10m})}^{1.6075} + {(10m \cdot 4m)}^{1.6075}}{3})}^{\frac{1}{1.6075}}}{1200m³}

Next Step Prepare to Evaluate

∴

R A/V = \frac{4 \cdot 3.1416 \cdot {(\frac{{(\frac{3 \cdot 1200}{4 \cdot 3.1416 \cdot 4})}^{1.6075} + {(\frac{3 \cdot 1200}{4 \cdot 3.1416 \cdot 10})}^{1.6075} + {(10 \cdot 4)}^{1.6075}}{3})}^{\frac{1}{1.6075}}}{1200}

Next Step Evaluate

∴

R A/V = 0.51145256207534m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.5115m⁻¹

Surface to Volume Ratio of Ellipsoid given Volume, First and Third 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

Volume of Ellipsoid

Volume of Ellipsoid is defined as quantity of three dimensional space enclosed by the entire surface of Ellipsoid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Ellipsoid

Third Semi Axis of Ellipsoid

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

Symbol: c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Third Semi Axis 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

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, First and Second Semi Axes

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}}}

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

Surface to Volume Ratio of Ellipsoid given Volume, First and Third Semi Axes evaluator uses Surface to Volume Ratio of Ellipsoid = (4*pi*((((3*Volume of Ellipsoid)/(4*pi*Third Semi Axis of Ellipsoid))^(1.6075)+((3*Volume of Ellipsoid)/(4*pi*First 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 to evaluate the Surface to Volume Ratio of Ellipsoid, The Surface to Volume Ratio of Ellipsoid given Volume, First and Third Semi Axes formula is defined as what part of total volume of Ellipsoid is its total surface area, calculated using volume, first and third 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 Volume, First and Third Semi Axes using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Ellipsoid given Volume, First and Third Semi Axes, enter Volume of Ellipsoid (V), Third Semi Axis of Ellipsoid (c) & First Semi Axis of Ellipsoid (a) and hit the calculate button.

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

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

The formula of Surface to Volume Ratio of Ellipsoid given Volume, First and Third Semi Axes is expressed as Surface to Volume Ratio of Ellipsoid = (4*pi*((((3*Volume of Ellipsoid)/(4*pi*Third Semi Axis of Ellipsoid))^(1.6075)+((3*Volume of Ellipsoid)/(4*pi*First 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. Here is an example- 0.511453 = (4*pi*((((3*1200)/(4*pi*4))^(1.6075)+((3*1200)/(4*pi*10))^(1.6075)+(10*4)^(1.6075))/3)^(1/1.6075))/1200.

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

With Volume of Ellipsoid (V), Third Semi Axis of Ellipsoid (c) & First Semi Axis of Ellipsoid (a) we can find Surface to Volume Ratio of Ellipsoid given Volume, First and Third Semi Axes using the formula - Surface to Volume Ratio of Ellipsoid = (4*pi*((((3*Volume of Ellipsoid)/(4*pi*Third Semi Axis of Ellipsoid))^(1.6075)+((3*Volume of Ellipsoid)/(4*pi*First 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. 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 Volume, First and Third Semi Axes be negative?

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

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

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

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

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

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

Other Formulas to find Surface to Volume Ratio of Ellipsoid

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

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

Variable Name

GoSurface to Volume Ratio of Ellipsoid Formula

GoSurface to Volume Ratio of Ellipsoid given Volume Formula