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Surface Area of Ellipsoid given Volume, First, and Third Semi Axes Formula

GoSurface Area of Ellipsoid Formula

GoSurface Area of Ellipsoid given Volume, Second, and Third Semi Axes Formula

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

SA = 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}}

SA - Surface Area of Ellipsoid?V - Volume of Ellipsoid?c - Third Semi Axis of Ellipsoid?a - First Semi Axis of Ellipsoid?π - Archimedes' constant?

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

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

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

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

613.7431 = 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}}

613.7431m² = 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}}

613.7431 = 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}}

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

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

FIRST Step Consider the formula

SA = 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}}

Next Step Substitute values of Variables

∴

SA = 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}}

Next Step Substitute values of Constants

∴

SA = 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}}

Next Step Prepare to Evaluate

∴

SA = 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}}

Next Step Evaluate

∴

SA = 613.743074490409m²

LAST Step Rounding Answer

∴

SA = 613.7431m²

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

Variables

Constants

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

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 Area of Ellipsoid

Go Surface Area of Ellipsoid

SA = 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}}

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

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

Go Surface Area of Ellipsoid given Volume, First, and Second Semi Axes

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

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

Surface Area of Ellipsoid given Volume, First, and Third Semi Axes evaluator uses Surface Area 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) to evaluate the Surface Area of Ellipsoid, Surface Area of Ellipsoid given Volume, First, and Third Semi Axes formula is defined as the amount or quantity of two dimensional space covered on the surface of Ellipsoid, and calculated using the volume and first and third semi axes of the Ellipsoid. Surface Area of Ellipsoid is denoted by SA symbol.

How to evaluate Surface Area of Ellipsoid given Volume, First, and Third Semi Axes using this online evaluator? To use this online evaluator for Surface Area 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 Area of Ellipsoid given Volume, First, and Third Semi Axes

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

The formula of Surface Area of Ellipsoid given Volume, First, and Third Semi Axes is expressed as Surface Area 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). Here is an example- 613.7431 = 4*pi*((((3*1200)/(4*pi*4))^(1.6075)+((3*1200)/(4*pi*10))^(1.6075)+(10*4)^(1.6075))/3)^(1/1.6075).

How to calculate Surface Area 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 Area of Ellipsoid given Volume, First, and Third Semi Axes using the formula - Surface Area 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). This formula also uses Archimedes' constant .

What are the other ways to Calculate Surface Area of Ellipsoid?

Here are the different ways to Calculate Surface Area of Ellipsoid-

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

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

No, the Surface Area of Ellipsoid given Volume, First, and Third Semi Axes, measured in Area cannot be negative.

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

Surface Area of Ellipsoid given Volume, First, and Third Semi Axes is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Surface Area of Ellipsoid given Volume, First, and Third Semi Axes can be measured.

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Surface Area of Ellipsoid given Volume, First, and Third Semi Axes Formula

​GoSurface Area of Ellipsoid Formula

​GoSurface Area of Ellipsoid given Volume, Second, and Third Semi Axes Formula

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

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

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

Other Formulas to find Surface Area of Ellipsoid

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

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

Variable Name

GoSurface Area of Ellipsoid Formula

GoSurface Area of Ellipsoid given Volume, Second, and Third Semi Axes Formula