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

✖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.ⓘ First Semi Axis of Ellipsoid [a]			+10% -10%
✖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.ⓘ Second Semi Axis of Ellipsoid [b]			+10% -10%
✖Volume of Ellipsoid is defined as quantity of three dimensional space enclosed by the entire surface of Ellipsoid.ⓘ Volume of Ellipsoid [V]			+10% -10%

✖Surface Area of Ellipsoid is the amount or quantity of two dimensional space covered on the surface of Ellipsoid.ⓘ Surface Area of Ellipsoid given Volume, First, and Second Semi Axes [SA]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
SA = 4*pi*(((a*b)^(1.6075)+((3*V)/(4*pi*a))^(1.6075)+((3*V)/(4*pi*b))^(1.6075))/3)^(1/1.6075)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Surface Area of Ellipsoid - (Measured in Square Meter) - Surface Area of Ellipsoid is the amount or quantity of two dimensional space covered on the surface of Ellipsoid.
First Semi Axis of Ellipsoid - (Measured in Meter) - 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.
Second Semi Axis of Ellipsoid - (Measured in Meter) - 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.
Volume of Ellipsoid - (Measured in Cubic Meter) - Volume of Ellipsoid is defined as quantity of three dimensional space enclosed by the entire surface of Ellipsoid.

STEP 1: Convert Input(s) to Base Unit

First Semi Axis of Ellipsoid: 10 Meter --> 10 Meter No Conversion Required
Second Semi Axis of Ellipsoid: 7 Meter --> 7 Meter No Conversion Required
Volume of Ellipsoid: 1200 Cubic Meter --> 1200 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SA = 4*pi*(((a*b)^(1.6075)+((3*V)/(4*pi*a))^(1.6075)+((3*V)/(4*pi*b))^(1.6075))/3)^(1/1.6075) --> 4*pi*(((10*7)^(1.6075)+((3*1200)/(4*pi*10))^(1.6075)+((3*1200)/(4*pi*7))^(1.6075))/3)^(1/1.6075)

Evaluating ... ...

SA = 608.686430172455

STEP 3: Convert Result to Output's Unit

608.686430172455 Square Meter --> No Conversion Required

FINAL ANSWER

608.686430172455 ≈ 608.6864 Square Meter <-- Surface Area of Ellipsoid

(Calculation completed in 00.008 seconds)

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< Surface Area of Ellipsoid Calculators

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

LaTeX Go 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 given Volume, First, and Second Semi Axes

LaTeX Go 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)

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

LaTeX Go 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

LaTeX Go 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 given Volume, First, and Second Semi Axes Formula

LaTeX Go

What is Ellipsoid?

An Ellipsoid is a surface that may be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation. An Ellipsoid is a quadric surface; that is, a surface that may be defined as the zero set of a polynomial of degree two in three variables.

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

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

How to calculate Surface Area of Ellipsoid given Volume, First, and Second Semi Axes using this online calculator? To use this online calculator for Surface Area of Ellipsoid given Volume, First, and Second Semi Axes, enter First Semi Axis of Ellipsoid (a), Second Semi Axis of Ellipsoid (b) & Volume of Ellipsoid (V) and hit the calculate button. Here is how the Surface Area of Ellipsoid given Volume, First, and Second Semi Axes calculation can be explained with given input values -> 608.6864 = 4*pi*(((10*7)^(1.6075)+((3*1200)/(4*pi*10))^(1.6075)+((3*1200)/(4*pi*7))^(1.6075))/3)^(1/1.6075).

FAQ

What is Surface Area of Ellipsoid given Volume, First, and Second Semi Axes?

Surface Area of Ellipsoid given Volume, First, and Second Semi Axes formula is defined as the amount or quantity of two dimensional space covered on the surface of Ellipsoid, and calculated using volume and first and second semi axes of the Ellipsoid and is represented as SA = 4*pi*(((a*b)^(1.6075)+((3*V)/(4*pi*a))^(1.6075)+((3*V)/(4*pi*b))^(1.6075))/3)^(1/1.6075) or 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). 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, 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 & Volume of Ellipsoid is defined as quantity of three dimensional space enclosed by the entire surface of Ellipsoid.

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

Surface Area of Ellipsoid given Volume, First, and Second Semi Axes formula is defined as the amount or quantity of two dimensional space covered on the surface of Ellipsoid, and calculated using volume and first and second semi axes of the Ellipsoid is calculated using 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). To calculate Surface Area of Ellipsoid given Volume, First, and Second Semi Axes, you need First Semi Axis of Ellipsoid (a), Second Semi Axis of Ellipsoid (b) & Volume of Ellipsoid (V). With our tool, you need to enter the respective value for First Semi Axis of Ellipsoid, Second Semi Axis of Ellipsoid & Volume of Ellipsoid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Surface Area of Ellipsoid?

In this formula, Surface Area of Ellipsoid uses First Semi Axis of Ellipsoid, Second Semi Axis of Ellipsoid & Volume of Ellipsoid. We can use 3 other way(s) to calculate the same, which is/are as follows -

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*((((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)

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