Surface to Volume Ratio of Ellipsoid given Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
RA/V = SA/(4/3*pi*a*b*c)
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.
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.
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
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
Third Semi Axis of Ellipsoid: 4 Meter --> 4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RA/V = SA/(4/3*pi*a*b*c) --> 600/(4/3*pi*10*7*4)
Evaluating ... ...
RA/V = 0.511569459938235
STEP 3: Convert Result to Output's Unit
0.511569459938235 1 per Meter --> No Conversion Required
FINAL ANSWER
0.511569459938235 0.511569 1 per Meter <-- Surface to Volume Ratio of Ellipsoid
(Calculation completed in 00.020 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 Surface Area Formula

​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)
RA/V = SA/(4/3*pi*a*b*c)

What is Paraboloid?

In geometry, a Paraboloid is a quadric surface that has exactly one axis of symmetry and no center of symmetry. The term "paraboloid" is derived from parabola, which refers to a conic section that has a similar property of symmetry. Every plane section of a paraboloid by a plane parallel to the axis of symmetry is a parabola. The paraboloid is hyperbolic if every other plane section is either a hyperbola, or two crossing lines (in the case of a section by a tangent plane). The paraboloid is elliptic if every other nonempty plane section is either an ellipse, or a single point (in the case of a section by a tangent plane). A paraboloid is either elliptic or hyperbolic.

How to Calculate Surface to Volume Ratio of Ellipsoid given Surface Area?

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

How to calculate Surface to Volume Ratio of Ellipsoid given Surface Area using this online calculator? To use this online calculator for Surface to Volume Ratio of Ellipsoid given Surface Area, enter Surface Area of Ellipsoid (SA), First Semi Axis of Ellipsoid (a), Second Semi Axis of Ellipsoid (b) & Third Semi Axis of Ellipsoid (c) and hit the calculate button. Here is how the Surface to Volume Ratio of Ellipsoid given Surface Area calculation can be explained with given input values -> 0.511569 = 600/(4/3*pi*10*7*4).

FAQ

What is Surface to Volume Ratio of Ellipsoid given Surface Area?
The Surface to Volume Ratio of Ellipsoid given Surface Area formula is defined as what part of total volume of Ellipsoid is its total surface area, calculated using Surface Area of Ellipsoid and is represented as RA/V = SA/(4/3*pi*a*b*c) or 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 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 & 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 Surface to Volume Ratio of Ellipsoid given Surface Area?
The Surface to Volume Ratio of Ellipsoid given Surface Area formula is defined as what part of total volume of Ellipsoid is its total surface area, calculated using Surface Area of Ellipsoid is calculated using 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). To calculate Surface to Volume Ratio of Ellipsoid given Surface Area, you need Surface Area of Ellipsoid (SA), First Semi Axis of Ellipsoid (a), Second Semi Axis of Ellipsoid (b) & Third Semi Axis of Ellipsoid (c). 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 & 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 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 & Third Semi Axis 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 = (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*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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