Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes 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%

✖Surface to Volume Ratio of Ellipsoid is defined as what part of or fraction of total volume of Ellipsoid is the total surface area.ⓘ Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes [R_A/V]

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

Formula

`"R"_{"A/V"} = "SA"/((4*pi*"a"*"b")/3*(((3*("SA"/(4*pi))^1.6075)-("a"*"b")^1.6075)/("a"^1.6075+"b"^1.6075))^(1/1.6075))`

Example

`"0.518749m⁻¹"="600m²"/((4*pi*"10m"*"7m")/3*(((3*("600m²"/(4*pi))^1.6075)-("10m"*"7m")^1.6075)/(("10m")^1.6075+("7m")^1.6075))^(1/1.6075))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Ellipsoid = Surface Area of Ellipsoid/((4*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)/3*(((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))
R_A/V = SA/((4*pi*a*b)/3*(((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

Surface to Volume Ratio of Ellipsoid - (Measured in 1 per Meter) - Surface to Volume Ratio of Ellipsoid is defined as what part of or fraction of total volume of Ellipsoid is the total surface area.
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

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

Evaluating ... ...

R_A/V = 0.518748657684925

STEP 3: Convert Result to Output's Unit

0.518748657684925 1 per Meter --> No Conversion Required

FINAL ANSWER

0.518748657684925 ≈ 0.518749 1 per Meter <-- Surface to Volume Ratio of Ellipsoid

(Calculation completed in 00.020 seconds)

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Home » Math » Geometry » 3D Geometry » Ellipsoid » Surface to Volume Ratio of Ellipsoid » Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes

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Created by Divanshi Jain

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

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

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< 9 Surface to Volume Ratio of Ellipsoid Calculators

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

Go Surface to Volume Ratio of Ellipsoid = Surface Area of Ellipsoid/((4*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)/3*(((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 to Volume Ratio of Ellipsoid given Surface Area, Second and Third Semi Axes

Go Surface to Volume Ratio of Ellipsoid = Surface Area of Ellipsoid/((4*pi*Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)/3*(((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))

Surface to Volume Ratio of Ellipsoid given Surface Area, First and Third Semi Axis

Go Surface to Volume Ratio of Ellipsoid = Surface Area of Ellipsoid/((4*pi*First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)/3*(((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))

Surface to Volume Ratio of Ellipsoid

Go Surface to Volume Ratio of Ellipsoid = (3*(((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))/(First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)

Surface to Volume Ratio of Ellipsoid given Volume, First and Second Semi Axes

Go Surface to Volume Ratio 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))/Volume of Ellipsoid

Surface to Volume Ratio of Ellipsoid given Volume, Second and Third Semi Axes

Go Surface to Volume Ratio 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))/Volume of Ellipsoid

Surface to Volume Ratio of Ellipsoid given Volume, First and Third Semi Axes

Go Surface to Volume Ratio 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))/Volume of Ellipsoid

Surface to Volume Ratio of Ellipsoid given Volume

Go Surface to Volume Ratio 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))/Volume of Ellipsoid

Surface to Volume Ratio of Ellipsoid given Surface Area

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

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

Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes calculator uses Surface to Volume Ratio of Ellipsoid = Surface Area of Ellipsoid/((4*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)/3*(((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 Surface to Volume Ratio of Ellipsoid, The Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes formula is defined as what part of total volume of Ellipsoid is its total surface area, calculated using surface area, first and second semi axes of Ellipsoid. Surface to Volume Ratio of Ellipsoid is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes using this online calculator? To use this online calculator for Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes, 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 Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes calculation can be explained with given input values -> 0.518749 = 600/((4*pi*10*7)/3*(((3*(600/(4*pi))^1.6075)-(10*7)^1.6075)/(10^1.6075+7^1.6075))^(1/1.6075)).

FAQ

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

The Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes formula is defined as what part of total volume of Ellipsoid is its total surface area, calculated using surface area, first and second semi axes of Ellipsoid and is represented as R_A/V = SA/((4*pi*a*b)/3*(((3*(SA/(4*pi))^1.6075)-(a*b)^1.6075)/(a^1.6075+b^1.6075))^(1/1.6075)) or Surface to Volume Ratio of Ellipsoid = Surface Area of Ellipsoid/((4*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)/3*(((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 Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes?

The Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes formula is defined as what part of total volume of Ellipsoid is its total surface area, calculated using surface area, first and second semi axes of Ellipsoid is calculated using Surface to Volume Ratio of Ellipsoid = Surface Area of Ellipsoid/((4*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)/3*(((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 Surface to Volume Ratio of Ellipsoid given Surface Area, First and Second Semi Axes, 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 Surface to Volume Ratio of Ellipsoid?

In this formula, Surface to Volume Ratio of Ellipsoid uses Surface Area of Ellipsoid, First Semi Axis of Ellipsoid & Second Semi Axis of Ellipsoid. We can use 8 other way(s) to calculate the same, which is/are as follows -

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

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