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Surface to Volume Ratio of Semi Ellipsoid Formula

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

R A/V = \frac{(2 \cdot π \cdot ({(\frac{({(a \cdot b)}^{1.6075}) + ({(b \cdot c)}^{1.6075}) + ({(a \cdot c)}^{1.6075})}{3})}^{\frac{1}{1.6075}})) + (π \cdot b \cdot c)}{(\frac{2}{3}) \cdot π \cdot a \cdot b \cdot c}

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

Surface to Volume Ratio of Semi Ellipsoid Example

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

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

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

0.6864 = \frac{(2 \cdot 3.1416 \cdot ({(\frac{({(10 \cdot 6)}^{1.6075}) + ({(6 \cdot 4)}^{1.6075}) + ({(10 \cdot 4)}^{1.6075})}{3})}^{\frac{1}{1.6075}})) + (3.1416 \cdot 6 \cdot 4)}{(\frac{2}{3}) \cdot 3.1416 \cdot 10 \cdot 6 \cdot 4}

0.6864m⁻¹ = \frac{(2 \cdot 3.1416 \cdot ({(\frac{({(10m \cdot 6m)}^{1.6075}) + ({(6m \cdot 4m)}^{1.6075}) + ({(10m \cdot 4m)}^{1.6075})}{3})}^{\frac{1}{1.6075}})) + (3.1416 \cdot 6m \cdot 4m)}{(\frac{2}{3}) \cdot 3.1416 \cdot 10m \cdot 6m \cdot 4m}

0.6864 = \frac{(2 \cdot 3.1416 \cdot ({(\frac{({(10 \cdot 6)}^{1.6075}) + ({(6 \cdot 4)}^{1.6075}) + ({(10 \cdot 4)}^{1.6075})}{3})}^{\frac{1}{1.6075}})) + (3.1416 \cdot 6 \cdot 4)}{(\frac{2}{3}) \cdot 3.1416 \cdot 10 \cdot 6 \cdot 4}

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Surface to Volume Ratio of Semi Ellipsoid Solution

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

FIRST Step Consider the formula

R A/V = \frac{(2 \cdot π \cdot ({(\frac{({(a \cdot b)}^{1.6075}) + ({(b \cdot c)}^{1.6075}) + ({(a \cdot c)}^{1.6075})}{3})}^{\frac{1}{1.6075}})) + (π \cdot b \cdot c)}{(\frac{2}{3}) \cdot π \cdot a \cdot b \cdot c}

Next Step Substitute values of Variables

∴

R A/V = \frac{(2 \cdot π \cdot ({(\frac{({(10m \cdot 6m)}^{1.6075}) + ({(6m \cdot 4m)}^{1.6075}) + ({(10m \cdot 4m)}^{1.6075})}{3})}^{\frac{1}{1.6075}})) + (π \cdot 6m \cdot 4m)}{(\frac{2}{3}) \cdot π \cdot 10m \cdot 6m \cdot 4m}

Next Step Substitute values of Constants

∴

R A/V = \frac{(2 \cdot 3.1416 \cdot ({(\frac{({(10m \cdot 6m)}^{1.6075}) + ({(6m \cdot 4m)}^{1.6075}) + ({(10m \cdot 4m)}^{1.6075})}{3})}^{\frac{1}{1.6075}})) + (3.1416 \cdot 6m \cdot 4m)}{(\frac{2}{3}) \cdot 3.1416 \cdot 10m \cdot 6m \cdot 4m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{(2 \cdot 3.1416 \cdot ({(\frac{({(10 \cdot 6)}^{1.6075}) + ({(6 \cdot 4)}^{1.6075}) + ({(10 \cdot 4)}^{1.6075})}{3})}^{\frac{1}{1.6075}})) + (3.1416 \cdot 6 \cdot 4)}{(\frac{2}{3}) \cdot 3.1416 \cdot 10 \cdot 6 \cdot 4}

Next Step Evaluate

∴

R A/V = 0.686411788778989m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.6864m⁻¹

Surface to Volume Ratio of Semi Ellipsoid Formula Elements

Variables

Constants

Surface to Volume Ratio of Semi Ellipsoid

Surface to Volume Ratio of Semi Ellipsoid is the numerical ratio of the total surface area of the Semi Ellipsoid to the volume of the Semi Ellipsoid.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Semi Ellipsoid

Bisected Axis of Semi Ellipsoid

Bisected Axis of Semi Ellipsoid is the half of the first axis which is bisected when Semi Ellipsoid is formed from the complete Ellipsoid.

Symbol: a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Bisected Axis of Semi Ellipsoid

Second Semi Axis of Semi Ellipsoid

Second Semi Axis of Semi Ellipsoid is the length of the segment of second cartesian coordinate axis from the center of the elliptical face of Semi Ellipsoid to its boundary edge.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Second Semi Axis of Semi Ellipsoid

Third Semi Axis of Semi Ellipsoid

Third Semi Axis of Semi Ellipsoid is the length of the segment of third cartesian coordinate axis from the center of the elliptical face of Semi Ellipsoid to its boundary edge.

Symbol: c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Third Semi Axis of Semi 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

How to Evaluate Surface to Volume Ratio of Semi Ellipsoid?

Surface to Volume Ratio of Semi Ellipsoid evaluator uses Surface to Volume Ratio of Semi Ellipsoid = ((2*pi*(((((Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid)^(1.6075))+((Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075))+((Bisected Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075)))/3)^(1/1.6075)))+(pi*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))/((2/3)*pi*Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid) to evaluate the Surface to Volume Ratio of Semi Ellipsoid, Surface to Volume Ratio of Semi Ellipsoid formula is defined as the numerical ratio of the total surface area of Semi Ellipsoid to the volume the Semi Ellipsoid. Surface to Volume Ratio of Semi Ellipsoid is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Semi Ellipsoid

What is the formula to find Surface to Volume Ratio of Semi Ellipsoid?

The formula of Surface to Volume Ratio of Semi Ellipsoid is expressed as Surface to Volume Ratio of Semi Ellipsoid = ((2*pi*(((((Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid)^(1.6075))+((Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075))+((Bisected Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075)))/3)^(1/1.6075)))+(pi*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))/((2/3)*pi*Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid). Here is an example- 0.686412 = ((2*pi*(((((10*6)^(1.6075))+((6*4)^(1.6075))+((10*4)^(1.6075)))/3)^(1/1.6075)))+(pi*6*4))/((2/3)*pi*10*6*4).

How to calculate Surface to Volume Ratio of Semi Ellipsoid?

With Bisected Axis of Semi Ellipsoid (a), Second Semi Axis of Semi Ellipsoid (b) & Third Semi Axis of Semi Ellipsoid (c) we can find Surface to Volume Ratio of Semi Ellipsoid using the formula - Surface to Volume Ratio of Semi Ellipsoid = ((2*pi*(((((Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid)^(1.6075))+((Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075))+((Bisected Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075)))/3)^(1/1.6075)))+(pi*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))/((2/3)*pi*Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid). This formula also uses Archimedes' constant .

Can the Surface to Volume Ratio of Semi Ellipsoid be negative?

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

Which unit is used to measure Surface to Volume Ratio of Semi Ellipsoid?

Surface to Volume Ratio of Semi Ellipsoid 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 Semi Ellipsoid can be measured.

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Surface to Volume Ratio of Semi Ellipsoid Formula

Surface to Volume Ratio of Semi Ellipsoid Example

Surface to Volume Ratio of Semi Ellipsoid Solution

Surface to Volume Ratio of Semi Ellipsoid Formula Elements

How to Evaluate Surface to Volume Ratio of Semi Ellipsoid?

FAQs on Surface to Volume Ratio of Semi Ellipsoid

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