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Surface Area of Ellipsoid Formula

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

GoSurface Area of Ellipsoid given Volume, First, 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{{(a \cdot b)}^{1.6075} + {(b \cdot c)}^{1.6075} + {(a \cdot c)}^{1.6075}}{3})}^{\frac{1}{1.6075}}

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

Surface Area of Ellipsoid Example

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Here is how the Surface Area of Ellipsoid equation looks like with Values.

Here is how the Surface Area of Ellipsoid equation looks like with Units.

Here is how the Surface Area of Ellipsoid equation looks like.

603.2371 = 4 \cdot 3.1416 \cdot {(\frac{{(10 \cdot 7)}^{1.6075} + {(7 \cdot 4)}^{1.6075} + {(10 \cdot 4)}^{1.6075}}{3})}^{\frac{1}{1.6075}}

603.2371m² = 4 \cdot 3.1416 \cdot {(\frac{{(10m \cdot 7m)}^{1.6075} + {(7m \cdot 4m)}^{1.6075} + {(10m \cdot 4m)}^{1.6075}}{3})}^{\frac{1}{1.6075}}

603.2371 = 4 \cdot 3.1416 \cdot {(\frac{{(10 \cdot 7)}^{1.6075} + {(7 \cdot 4)}^{1.6075} + {(10 \cdot 4)}^{1.6075}}{3})}^{\frac{1}{1.6075}}

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Surface Area of Ellipsoid Solution

Follow our step by step solution on how to calculate Surface Area of Ellipsoid?

FIRST Step Consider the formula

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}}

Next Step Substitute values of Variables

∴

SA = 4 \cdot π \cdot {(\frac{{(10m \cdot 7m)}^{1.6075} + {(7m \cdot 4m)}^{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{{(10m \cdot 7m)}^{1.6075} + {(7m \cdot 4m)}^{1.6075} + {(10m \cdot 4m)}^{1.6075}}{3})}^{\frac{1}{1.6075}}

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

SA = 603.237076547637m²

LAST Step Rounding Answer

∴

SA = 603.2371m²

Surface Area of Ellipsoid 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

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

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

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 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 Third Semi Axes

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}}

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?

Surface Area of Ellipsoid evaluator uses 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) to evaluate the Surface Area of Ellipsoid, The Surface Area of Ellipsoid formula is defined as the amount or quantity of two dimensional space covered on the surface of Ellipsoid. Surface Area of Ellipsoid is denoted by SA symbol.

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

FAQs on Surface Area of Ellipsoid

What is the formula to find Surface Area of Ellipsoid?

The formula of Surface Area of Ellipsoid is expressed as 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). Here is an example- 603.2371 = 4*pi*(((10*7)^(1.6075)+(7*4)^(1.6075)+(10*4)^(1.6075))/3)^(1/1.6075).

How to calculate Surface Area of Ellipsoid?

With First Semi Axis of Ellipsoid (a), Second Semi Axis of Ellipsoid (b) & Third Semi Axis of Ellipsoid (c) we can find Surface Area of Ellipsoid using the formula - 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). 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*((((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*((((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)
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 be negative?

No, the Surface Area of Ellipsoid, measured in Area cannot be negative.

Which unit is used to measure Surface Area of Ellipsoid?

Surface Area of Ellipsoid 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 can be measured.

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Surface Area of Ellipsoid Formula

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

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

Surface Area of Ellipsoid Example

Surface Area of Ellipsoid Solution

Surface Area of Ellipsoid Formula Elements

Other Formulas to find Surface Area of Ellipsoid

How to Evaluate Surface Area of Ellipsoid?

FAQs on Surface Area of Ellipsoid

Variable Name

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

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