Third Semi Axis of Ellipsoid given Surface Area Calculator

✖Surface Area of Ellipsoid is the amount or quantity of two dimensional space covered on the surface of Ellipsoid.ⓘ Surface Area of Ellipsoid [SA]			+10% -10%
✖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%

✖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.ⓘ Third Semi Axis of Ellipsoid given Surface Area [c]

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Formula

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Third Semi Axis of Ellipsoid given Surface Area

Formula

`"c" = (((3*("SA"/(4*pi))^1.6075)-("a"*"b")^1.6075)/("a"^1.6075+"b"^1.6075))^(1/1.6075)`

Example

`"3.944642m"=(((3*("600m²"/(4*pi))^1.6075)-("10m"*"7m")^1.6075)/(("10m")^1.6075+("7m")^1.6075))^(1/1.6075)`

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Third Semi Axis of Ellipsoid given Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Third Semi Axis of Ellipsoid = (((3*(Surface Area of Ellipsoid/(4*pi))^1.6075)-(First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)^1.6075)/(First Semi Axis of Ellipsoid^1.6075+Second Semi Axis of Ellipsoid^1.6075))^(1/1.6075)
c = (((3*(SA/(4*pi))^1.6075)-(a*b)^1.6075)/(a^1.6075+b^1.6075))^(1/1.6075)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Third Semi Axis of Ellipsoid - (Measured in Meter) - 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.
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.

STEP 1: Convert Input(s) to Base Unit

Surface Area of Ellipsoid: 600 Square Meter --> 600 Square Meter No Conversion Required
First Semi Axis of Ellipsoid: 10 Meter --> 10 Meter No Conversion Required
Second Semi Axis of Ellipsoid: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c = (((3*(SA/(4*pi))^1.6075)-(a*b)^1.6075)/(a^1.6075+b^1.6075))^(1/1.6075) --> (((3*(600/(4*pi))^1.6075)-(10*7)^1.6075)/(10^1.6075+7^1.6075))^(1/1.6075)

Evaluating ... ...

c = 3.94464218738432

STEP 3: Convert Result to Output's Unit

3.94464218738432 Meter --> No Conversion Required

FINAL ANSWER

3.94464218738432 ≈ 3.944642 Meter <-- Third Semi Axis of Ellipsoid

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » Ellipsoid » Axis of Ellipsoid » Third Semi Axis of Ellipsoid given Surface Area

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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Verified by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 6 Axis of Ellipsoid Calculators

Third Semi Axis of Ellipsoid given Surface Area

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

First Semi Axis of Ellipsoid given Surface Area

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

Second Semi Axis of Ellipsoid given Surface Area

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

Second Semi Axis of Ellipsoid

Go Second Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)

First Semi Axis of Ellipsoid

Go First Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)

Third Semi Axis of Ellipsoid

Go Third Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)

Third Semi Axis of Ellipsoid given Surface Area Formula

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 Third Semi Axis of Ellipsoid given Surface Area?

Third Semi Axis of Ellipsoid given Surface Area calculator uses Third Semi Axis of Ellipsoid = (((3*(Surface Area of Ellipsoid/(4*pi))^1.6075)-(First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)^1.6075)/(First Semi Axis of Ellipsoid^1.6075+Second Semi Axis of Ellipsoid^1.6075))^(1/1.6075) to calculate the Third Semi Axis of Ellipsoid, The Third Semi Axis of Ellipsoid given Surface Area formula is defined as the length of the segment of third cartesian coordinate axis from the center of the Ellipsoid to its surface, calculated using surface area of Ellipsoid. Third Semi Axis of Ellipsoid is denoted by c symbol.

How to calculate Third Semi Axis of Ellipsoid given Surface Area using this online calculator? To use this online calculator for Third Semi Axis of Ellipsoid given Surface Area, enter Surface Area of Ellipsoid (SA), First Semi Axis of Ellipsoid (a) & Second Semi Axis of Ellipsoid (b) and hit the calculate button. Here is how the Third Semi Axis of Ellipsoid given Surface Area calculation can be explained with given input values -> 3.944642 = (((3*(600/(4*pi))^1.6075)-(10*7)^1.6075)/(10^1.6075+7^1.6075))^(1/1.6075).

FAQ

What is Third Semi Axis of Ellipsoid given Surface Area?

The Third Semi Axis of Ellipsoid given Surface Area formula is defined as the length of the segment of third cartesian coordinate axis from the center of the Ellipsoid to its surface, calculated using surface area of Ellipsoid and is represented as c = (((3*(SA/(4*pi))^1.6075)-(a*b)^1.6075)/(a^1.6075+b^1.6075))^(1/1.6075) or Third Semi Axis of Ellipsoid = (((3*(Surface Area of Ellipsoid/(4*pi))^1.6075)-(First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)^1.6075)/(First Semi Axis of Ellipsoid^1.6075+Second Semi Axis of Ellipsoid^1.6075))^(1/1.6075). Surface Area of Ellipsoid is the amount or quantity of two dimensional space covered on the surface 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 & 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.

How to calculate Third Semi Axis of Ellipsoid given Surface Area?

The Third Semi Axis of Ellipsoid given Surface Area formula is defined as the length of the segment of third cartesian coordinate axis from the center of the Ellipsoid to its surface, calculated using surface area of Ellipsoid is calculated using Third Semi Axis of Ellipsoid = (((3*(Surface Area of Ellipsoid/(4*pi))^1.6075)-(First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)^1.6075)/(First Semi Axis of Ellipsoid^1.6075+Second Semi Axis of Ellipsoid^1.6075))^(1/1.6075). To calculate Third Semi Axis of Ellipsoid given Surface Area, you need Surface Area of Ellipsoid (SA), First Semi Axis of Ellipsoid (a) & Second Semi Axis of Ellipsoid (b). With our tool, you need to enter the respective value for Surface Area of Ellipsoid, First Semi Axis of Ellipsoid & Second Semi Axis 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 Third Semi Axis of Ellipsoid?

In this formula, Third Semi Axis of Ellipsoid uses Surface Area of Ellipsoid, First Semi Axis of Ellipsoid & Second Semi Axis of Ellipsoid. We can use 1 other way(s) to calculate the same, which is/are as follows -

Third Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)

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