First Semi Axis of Ellipsoid Calculator

✖Volume of Ellipsoid is defined as quantity of three dimensional space enclosed by the entire surface of Ellipsoid.ⓘ Volume of Ellipsoid [V]			+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 [c]			+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]

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Formula

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First Semi Axis of Ellipsoid

Formula

`"a" = (3*"V")/(4*pi*"b"*"c")`

Example

`"10.23139m"=(3*"1200m³")/(4*pi*"7m"*"4m")`

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First Semi Axis of Ellipsoid Solution

STEP 0: Pre-Calculation Summary

Formula Used

First Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)
a = (3*V)/(4*pi*b*c)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Volume of Ellipsoid: 1200 Cubic Meter --> 1200 Cubic Meter No Conversion Required
Second Semi Axis of Ellipsoid: 7 Meter --> 7 Meter No Conversion Required
Third Semi Axis of Ellipsoid: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = (3*V)/(4*pi*b*c) --> (3*1200)/(4*pi*7*4)

Evaluating ... ...

a = 10.2313891987647

STEP 3: Convert Result to Output's Unit

10.2313891987647 Meter --> No Conversion Required

FINAL ANSWER

10.2313891987647 ≈ 10.23139 Meter <-- First Semi Axis of Ellipsoid

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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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)

First Semi Axis of Ellipsoid Formula

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

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 First Semi Axis of Ellipsoid?

First Semi Axis of Ellipsoid calculator uses First Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid) to calculate the First Semi Axis of Ellipsoid, The First Semi Axis of Ellipsoid formula is defined as the length of the segment of first cartesian coordinate axis from the center of the Ellipsoid to its surface. First Semi Axis of Ellipsoid is denoted by a symbol.

How to calculate First Semi Axis of Ellipsoid using this online calculator? To use this online calculator for First Semi Axis of Ellipsoid, enter Volume of Ellipsoid (V), Second Semi Axis of Ellipsoid (b) & Third Semi Axis of Ellipsoid (c) and hit the calculate button. Here is how the First Semi Axis of Ellipsoid calculation can be explained with given input values -> 10.23139 = (3*1200)/(4*pi*7*4).

FAQ

What is First Semi Axis of Ellipsoid?

The First Semi Axis of Ellipsoid formula is defined as the length of the segment of first cartesian coordinate axis from the center of the Ellipsoid to its surface and is represented as a = (3*V)/(4*pi*b*c) or First Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid). Volume of Ellipsoid is defined as quantity of three dimensional space enclosed by the entire surface 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 & 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.

How to calculate First Semi Axis of Ellipsoid?

The First Semi Axis of Ellipsoid formula is defined as the length of the segment of first cartesian coordinate axis from the center of the Ellipsoid to its surface is calculated using First Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid). To calculate First Semi Axis of Ellipsoid, you need Volume of Ellipsoid (V), Second Semi Axis of Ellipsoid (b) & Third Semi Axis of Ellipsoid (c). With our tool, you need to enter the respective value for Volume of Ellipsoid, Second Semi Axis of Ellipsoid & Third 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 First Semi Axis of Ellipsoid?

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

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)

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