Surface to Volume Ratio of Ellipsoid given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
RA/V = (4*pi*(((a*b)^(1.6075)+(b*c)^(1.6075)+(a*c)^(1.6075))/3)^(1/1.6075))/V
This formula uses 1 Constants, 5 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.
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.
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.
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
Third Semi Axis of Ellipsoid: 4 Meter --> 4 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
RA/V = (4*pi*(((a*b)^(1.6075)+(b*c)^(1.6075)+(a*c)^(1.6075))/3)^(1/1.6075))/V --> (4*pi*(((10*7)^(1.6075)+(7*4)^(1.6075)+(10*4)^(1.6075))/3)^(1/1.6075))/1200
Evaluating ... ...
RA/V = 0.502697563789697
STEP 3: Convert Result to Output's Unit
0.502697563789697 1 per Meter --> No Conversion Required
FINAL ANSWER
0.502697563789697 0.502698 1 per Meter <-- Surface to Volume Ratio of Ellipsoid
(Calculation completed in 00.004 seconds)

Credits

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Created by Divanshi Jain
Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka
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Surface to Volume Ratio of Ellipsoid Calculators

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

​LaTeX ​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
RA/V = (4*pi*(((a*b)^(1.6075)+(b*c)^(1.6075)+(a*c)^(1.6075))/3)^(1/1.6075))/V

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 Volume?

Surface to Volume Ratio of Ellipsoid given Volume calculator uses 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 to calculate the Surface to Volume Ratio of Ellipsoid, The Surface to Volume Ratio of Ellipsoid given Volume formula is defined as what part of total volume of Ellipsoid is its total surface area, calculated using volume of Ellipsoid. Surface to Volume Ratio of Ellipsoid is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Ellipsoid given Volume using this online calculator? To use this online calculator for Surface to Volume Ratio of Ellipsoid given Volume, enter First Semi Axis of Ellipsoid (a), Second Semi Axis of Ellipsoid (b), Third Semi Axis of Ellipsoid (c) & Volume of Ellipsoid (V) and hit the calculate button. Here is how the Surface to Volume Ratio of Ellipsoid given Volume calculation can be explained with given input values -> 0.502698 = (4*pi*(((10*7)^(1.6075)+(7*4)^(1.6075)+(10*4)^(1.6075))/3)^(1/1.6075))/1200.

FAQ

What is Surface to Volume Ratio of Ellipsoid given Volume?
The Surface to Volume Ratio of Ellipsoid given Volume formula is defined as what part of total volume of Ellipsoid is its total surface area, calculated using volume of Ellipsoid and is represented as RA/V = (4*pi*(((a*b)^(1.6075)+(b*c)^(1.6075)+(a*c)^(1.6075))/3)^(1/1.6075))/V or 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. 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, 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 & Volume of Ellipsoid is defined as quantity of three dimensional space enclosed by the entire surface of Ellipsoid.
How to calculate Surface to Volume Ratio of Ellipsoid given Volume?
The Surface to Volume Ratio of Ellipsoid given Volume formula is defined as what part of total volume of Ellipsoid is its total surface area, calculated using volume of Ellipsoid is calculated using 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. To calculate Surface to Volume Ratio of Ellipsoid given Volume, you need First Semi Axis of Ellipsoid (a), Second Semi Axis of Ellipsoid (b), Third Semi Axis of Ellipsoid (c) & 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, Third 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 to Volume Ratio of Ellipsoid?
In this formula, Surface to Volume Ratio of Ellipsoid uses First Semi Axis of Ellipsoid, Second Semi Axis of Ellipsoid, Third Semi Axis of Ellipsoid & Volume of Ellipsoid. We can use 3 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 = 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*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))
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