Surface to Volume Ratio of Semi Ellipsoid Calculator

✖Bisected Axis of Semi Ellipsoid is the half of the first axis which is bisected when Semi Ellipsoid is formed from the complete Ellipsoid.ⓘ Bisected Axis of Semi Ellipsoid [a]			+10% -10%
✖Second Semi Axis of Semi Ellipsoid is the length of the segment of second cartesian coordinate axis from the center of the elliptical face of Semi Ellipsoid to its boundary edge.ⓘ Second Semi Axis of Semi Ellipsoid [b]			+10% -10%
✖Third Semi Axis of Semi Ellipsoid is the length of the segment of third cartesian coordinate axis from the center of the elliptical face of Semi Ellipsoid to its boundary edge.ⓘ Third Semi Axis of Semi Ellipsoid [c]			+10% -10%

✖Surface to Volume Ratio of Semi Ellipsoid is the numerical ratio of the total surface area of the Semi Ellipsoid to the volume of the Semi Ellipsoid.ⓘ Surface to Volume Ratio of Semi Ellipsoid [R_A/V]

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Formula

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Surface to Volume Ratio of Semi Ellipsoid

Formula

R A/V = \frac{(2 \cdot π \cdot ({(\frac{({(a \cdot b)}^{1.6075}) + ({(b \cdot c)}^{1.6075}) + ({(a \cdot c)}^{1.6075})}{3})}^{\frac{1}{1.6075}})) + (π \cdot b \cdot c)}{(\frac{2}{3}) \cdot π \cdot a \cdot b \cdot c}

Example

0.686412 m⁻¹ = \frac{(2 \cdot π \cdot ({(\frac{({(10 m \cdot 6 m)}^{1.6075}) + ({(6 m \cdot 4 m)}^{1.6075}) + ({(10 m \cdot 4 m)}^{1.6075})}{3})}^{\frac{1}{1.6075}})) + (π \cdot 6 m \cdot 4 m)}{(\frac{2}{3}) \cdot π \cdot 10 m \cdot 6 m \cdot 4 m}

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Surface to Volume Ratio of Semi Ellipsoid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Semi Ellipsoid = ((2*pi*(((((Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid)^(1.6075))+((Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075))+((Bisected Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075)))/3)^(1/1.6075)))+(pi*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))/((2/3)*pi*Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)
R_A/V = ((2*pi*(((((a*b)^(1.6075))+((b*c)^(1.6075))+((a*c)^(1.6075)))/3)^(1/1.6075)))+(pi*b*c))/((2/3)*pi*a*b*c)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Surface to Volume Ratio of Semi Ellipsoid - (Measured in 1 per Meter) - Surface to Volume Ratio of Semi Ellipsoid is the numerical ratio of the total surface area of the Semi Ellipsoid to the volume of the Semi Ellipsoid.
Bisected Axis of Semi Ellipsoid - (Measured in Meter) - Bisected Axis of Semi Ellipsoid is the half of the first axis which is bisected when Semi Ellipsoid is formed from the complete Ellipsoid.
Second Semi Axis of Semi Ellipsoid - (Measured in Meter) - Second Semi Axis of Semi Ellipsoid is the length of the segment of second cartesian coordinate axis from the center of the elliptical face of Semi Ellipsoid to its boundary edge.
Third Semi Axis of Semi Ellipsoid - (Measured in Meter) - Third Semi Axis of Semi Ellipsoid is the length of the segment of third cartesian coordinate axis from the center of the elliptical face of Semi Ellipsoid to its boundary edge.

STEP 1: Convert Input(s) to Base Unit

Bisected Axis of Semi Ellipsoid: 10 Meter --> 10 Meter No Conversion Required
Second Semi Axis of Semi Ellipsoid: 6 Meter --> 6 Meter No Conversion Required
Third Semi Axis of Semi Ellipsoid: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = ((2*pi*(((((a*b)^(1.6075))+((b*c)^(1.6075))+((a*c)^(1.6075)))/3)^(1/1.6075)))+(pi*b*c))/((2/3)*pi*a*b*c) --> ((2*pi*(((((10*6)^(1.6075))+((6*4)^(1.6075))+((10*4)^(1.6075)))/3)^(1/1.6075)))+(pi*6*4))/((2/3)*pi*10*6*4)

Evaluating ... ...

R_A/V = 0.686411788778989

STEP 3: Convert Result to Output's Unit

0.686411788778989 1 per Meter --> No Conversion Required

FINAL ANSWER

0.686411788778989 ≈ 0.686412 1 per Meter <-- Surface to Volume Ratio of Semi Ellipsoid

(Calculation completed in 00.004 seconds)

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< Surface to Volume Ratio of Semi Ellipsoid Calculators

Surface to Volume Ratio of Semi Ellipsoid

Go Surface to Volume Ratio of Semi Ellipsoid = ((2*pi*(((((Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid)^(1.6075))+((Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075))+((Bisected Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075)))/3)^(1/1.6075)))+(pi*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))/((2/3)*pi*Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)

Surface to Volume Ratio of Semi Ellipsoid Formula

What is Semi Ellipsoid?

Semi Ellipsoid (or hemi-ellipsoid, or half ellipsoid) is an ellipsoid, which is bisected at one axis along the other two axes. The surface area is calculated from half the approximation formula by Knud Thomsen, plus the area of the intersection ellipse.

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 Semi Ellipsoid?

Surface to Volume Ratio of Semi Ellipsoid calculator uses Surface to Volume Ratio of Semi Ellipsoid = ((2*pi*(((((Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid)^(1.6075))+((Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075))+((Bisected Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075)))/3)^(1/1.6075)))+(pi*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))/((2/3)*pi*Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid) to calculate the Surface to Volume Ratio of Semi Ellipsoid, Surface to Volume Ratio of Semi Ellipsoid formula is defined as the numerical ratio of the total surface area of Semi Ellipsoid to the volume the Semi Ellipsoid. Surface to Volume Ratio of Semi Ellipsoid is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Semi Ellipsoid using this online calculator? To use this online calculator for Surface to Volume Ratio of Semi Ellipsoid, enter Bisected Axis of Semi Ellipsoid (a), Second Semi Axis of Semi Ellipsoid (b) & Third Semi Axis of Semi Ellipsoid (c) and hit the calculate button. Here is how the Surface to Volume Ratio of Semi Ellipsoid calculation can be explained with given input values -> 0.686412 = ((2*pi*(((((10*6)^(1.6075))+((6*4)^(1.6075))+((10*4)^(1.6075)))/3)^(1/1.6075)))+(pi*6*4))/((2/3)*pi*10*6*4).

FAQ

What is Surface to Volume Ratio of Semi Ellipsoid?

Surface to Volume Ratio of Semi Ellipsoid formula is defined as the numerical ratio of the total surface area of Semi Ellipsoid to the volume the Semi Ellipsoid and is represented as R_A/V = ((2*pi*(((((a*b)^(1.6075))+((b*c)^(1.6075))+((a*c)^(1.6075)))/3)^(1/1.6075)))+(pi*b*c))/((2/3)*pi*a*b*c) or Surface to Volume Ratio of Semi Ellipsoid = ((2*pi*(((((Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid)^(1.6075))+((Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075))+((Bisected Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075)))/3)^(1/1.6075)))+(pi*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))/((2/3)*pi*Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid). Bisected Axis of Semi Ellipsoid is the half of the first axis which is bisected when Semi Ellipsoid is formed from the complete Ellipsoid, Second Semi Axis of Semi Ellipsoid is the length of the segment of second cartesian coordinate axis from the center of the elliptical face of Semi Ellipsoid to its boundary edge & Third Semi Axis of Semi Ellipsoid is the length of the segment of third cartesian coordinate axis from the center of the elliptical face of Semi Ellipsoid to its boundary edge.

How to calculate Surface to Volume Ratio of Semi Ellipsoid?

Surface to Volume Ratio of Semi Ellipsoid formula is defined as the numerical ratio of the total surface area of Semi Ellipsoid to the volume the Semi Ellipsoid is calculated using Surface to Volume Ratio of Semi Ellipsoid = ((2*pi*(((((Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid)^(1.6075))+((Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075))+((Bisected Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)^(1.6075)))/3)^(1/1.6075)))+(pi*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid))/((2/3)*pi*Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid). To calculate Surface to Volume Ratio of Semi Ellipsoid, you need Bisected Axis of Semi Ellipsoid (a), Second Semi Axis of Semi Ellipsoid (b) & Third Semi Axis of Semi Ellipsoid (c). With our tool, you need to enter the respective value for Bisected Axis of Semi Ellipsoid, Second Semi Axis of Semi Ellipsoid & Third Semi Axis of Semi Ellipsoid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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