Surface to Volume Ratio of Elliptic Cylinder given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface to Volume Ratio of Elliptic Cylinder = (Lateral Surface Area of Elliptic Cylinder+(2*pi*Semi Major Axis of Elliptic Cylinder*Semi Minor Axis of Elliptic Cylinder))/(Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder*Lateral Surface Area of Elliptic Cylinder/(Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder))
RA/V = (LSA+(2*pi*a*b))/(b*a*LSA/(b+a))
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Surface to Volume Ratio of Elliptic Cylinder - (Measured in 1 per Meter) - Surface to Volume Ratio of Elliptic Cylinder is the numerical ratio of the total surface area of Elliptic Cylinder to the volume of the Elliptic Cylinder.
Lateral Surface Area of Elliptic Cylinder - (Measured in Square Meter) - Lateral Surface Area of Elliptic Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Elliptic Cylinder.
Semi Major Axis of Elliptic Cylinder - (Measured in Meter) - Semi Major Axis of Elliptic Cylinder is the longest radius of elliptic face, as it begins in the center of the elliptic face, follows the major axis, and ends at the furthest edge-point.
Semi Minor Axis of Elliptic Cylinder - (Measured in Meter) - Semi Minor Axis of Elliptic Cylinder is the half of the length of the longest chord which is perpendicular to the line joining the foci of the elliptic face of the Elliptic Cylinder.
STEP 1: Convert Input(s) to Base Unit
Lateral Surface Area of Elliptic Cylinder: 95 Square Meter --> 95 Square Meter No Conversion Required
Semi Major Axis of Elliptic Cylinder: 4 Meter --> 4 Meter No Conversion Required
Semi Minor Axis of Elliptic Cylinder: 2 Meter --> 2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RA/V = (LSA+(2*pi*a*b))/(b*a*LSA/(b+a)) --> (95+(2*pi*4*2))/(2*4*95/(2+4))
Evaluating ... ...
RA/V = 1.14683275624292
STEP 3: Convert Result to Output's Unit
1.14683275624292 1 per Meter --> No Conversion Required
FINAL ANSWER
1.14683275624292 1.146833 1 per Meter <-- Surface to Volume Ratio of Elliptic Cylinder
(Calculation completed in 00.035 seconds)

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Walchand College of Engineering (WCE), Sangli
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Surface to Volume Ratio of Elliptic Cylinder Calculators

Surface to Volume Ratio of Elliptic Cylinder given Lateral Surface Area and Semi Minor Axis
​ LaTeX ​ Go Surface to Volume Ratio of Elliptic Cylinder = (Lateral Surface Area of Elliptic Cylinder+(2*pi*(Lateral Surface Area of Elliptic Cylinder/(pi*Height of Elliptic Cylinder)-Semi Minor Axis of Elliptic Cylinder)*Semi Minor Axis of Elliptic Cylinder))/(pi*Height of Elliptic Cylinder*(Lateral Surface Area of Elliptic Cylinder/(pi*Height of Elliptic Cylinder)-Semi Minor Axis of Elliptic Cylinder)*Semi Minor Axis of Elliptic Cylinder)
Surface to Volume Ratio of Elliptic Cylinder given Lateral Surface Area and Height
​ LaTeX ​ Go Surface to Volume Ratio of Elliptic Cylinder = (Lateral Surface Area of Elliptic Cylinder+(2*pi*(Lateral Surface Area of Elliptic Cylinder/(pi*Height of Elliptic Cylinder)-Semi Minor Axis of Elliptic Cylinder)*Semi Minor Axis of Elliptic Cylinder))/(pi*Height of Elliptic Cylinder*(Lateral Surface Area of Elliptic Cylinder/(pi*Height of Elliptic Cylinder)-Semi Minor Axis of Elliptic Cylinder)*Semi Minor Axis of Elliptic Cylinder)
Surface to Volume Ratio of Elliptic Cylinder given Total Surface Area
​ LaTeX ​ Go Surface to Volume Ratio of Elliptic Cylinder = Total Surface Area of Elliptic Cylinder/(Height of Elliptic Cylinder*(Total Surface Area of Elliptic Cylinder-Lateral Surface Area of Elliptic Cylinder)/2)
Surface to Volume Ratio of Elliptic Cylinder given Volume and Semi Major Axis
​ LaTeX ​ Go Surface to Volume Ratio of Elliptic Cylinder = (Lateral Surface Area of Elliptic Cylinder+(2*Volume of Elliptic Cylinder)/Height of Elliptic Cylinder)/Volume of Elliptic Cylinder

Surface to Volume Ratio of Elliptic Cylinder given Lateral Surface Area Formula

​LaTeX ​Go
Surface to Volume Ratio of Elliptic Cylinder = (Lateral Surface Area of Elliptic Cylinder+(2*pi*Semi Major Axis of Elliptic Cylinder*Semi Minor Axis of Elliptic Cylinder))/(Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder*Lateral Surface Area of Elliptic Cylinder/(Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder))
RA/V = (LSA+(2*pi*a*b))/(b*a*LSA/(b+a))

What is Elliptic Cylinder?

Elliptic Cylinder is a cylinder with an elliptical cross section. It is a quadratic ruled surface. It is a cylinder with an ellipse as directrix.

How to Calculate Surface to Volume Ratio of Elliptic Cylinder given Lateral Surface Area?

Surface to Volume Ratio of Elliptic Cylinder given Lateral Surface Area calculator uses Surface to Volume Ratio of Elliptic Cylinder = (Lateral Surface Area of Elliptic Cylinder+(2*pi*Semi Major Axis of Elliptic Cylinder*Semi Minor Axis of Elliptic Cylinder))/(Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder*Lateral Surface Area of Elliptic Cylinder/(Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder)) to calculate the Surface to Volume Ratio of Elliptic Cylinder, Surface to Volume Ratio of Elliptic Cylinder given Lateral Surface Area formula is defined as the numerical ratio of the total surface area of Elliptic Cylinder to the volume of the Elliptic Cylinder, and is calculated using lateral surface area, semi major axis and semi minor axis of Elliptic Cylinder. Surface to Volume Ratio of Elliptic Cylinder is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Elliptic Cylinder given Lateral Surface Area using this online calculator? To use this online calculator for Surface to Volume Ratio of Elliptic Cylinder given Lateral Surface Area, enter Lateral Surface Area of Elliptic Cylinder (LSA), Semi Major Axis of Elliptic Cylinder (a) & Semi Minor Axis of Elliptic Cylinder (b) and hit the calculate button. Here is how the Surface to Volume Ratio of Elliptic Cylinder given Lateral Surface Area calculation can be explained with given input values -> 1.146833 = (95+(2*pi*4*2))/(2*4*95/(2+4)).

FAQ

What is Surface to Volume Ratio of Elliptic Cylinder given Lateral Surface Area?
Surface to Volume Ratio of Elliptic Cylinder given Lateral Surface Area formula is defined as the numerical ratio of the total surface area of Elliptic Cylinder to the volume of the Elliptic Cylinder, and is calculated using lateral surface area, semi major axis and semi minor axis of Elliptic Cylinder and is represented as RA/V = (LSA+(2*pi*a*b))/(b*a*LSA/(b+a)) or Surface to Volume Ratio of Elliptic Cylinder = (Lateral Surface Area of Elliptic Cylinder+(2*pi*Semi Major Axis of Elliptic Cylinder*Semi Minor Axis of Elliptic Cylinder))/(Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder*Lateral Surface Area of Elliptic Cylinder/(Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder)). Lateral Surface Area of Elliptic Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Elliptic Cylinder, Semi Major Axis of Elliptic Cylinder is the longest radius of elliptic face, as it begins in the center of the elliptic face, follows the major axis, and ends at the furthest edge-point & Semi Minor Axis of Elliptic Cylinder is the half of the length of the longest chord which is perpendicular to the line joining the foci of the elliptic face of the Elliptic Cylinder.
How to calculate Surface to Volume Ratio of Elliptic Cylinder given Lateral Surface Area?
Surface to Volume Ratio of Elliptic Cylinder given Lateral Surface Area formula is defined as the numerical ratio of the total surface area of Elliptic Cylinder to the volume of the Elliptic Cylinder, and is calculated using lateral surface area, semi major axis and semi minor axis of Elliptic Cylinder is calculated using Surface to Volume Ratio of Elliptic Cylinder = (Lateral Surface Area of Elliptic Cylinder+(2*pi*Semi Major Axis of Elliptic Cylinder*Semi Minor Axis of Elliptic Cylinder))/(Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder*Lateral Surface Area of Elliptic Cylinder/(Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder)). To calculate Surface to Volume Ratio of Elliptic Cylinder given Lateral Surface Area, you need Lateral Surface Area of Elliptic Cylinder (LSA), Semi Major Axis of Elliptic Cylinder (a) & Semi Minor Axis of Elliptic Cylinder (b). With our tool, you need to enter the respective value for Lateral Surface Area of Elliptic Cylinder, Semi Major Axis of Elliptic Cylinder & Semi Minor Axis of Elliptic Cylinder 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 Elliptic Cylinder?
In this formula, Surface to Volume Ratio of Elliptic Cylinder uses Lateral Surface Area of Elliptic Cylinder, Semi Major Axis of Elliptic Cylinder & Semi Minor Axis of Elliptic Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Surface to Volume Ratio of Elliptic Cylinder = (Lateral Surface Area of Elliptic Cylinder+(2*pi*(Lateral Surface Area of Elliptic Cylinder/(pi*Height of Elliptic Cylinder)-Semi Minor Axis of Elliptic Cylinder)*Semi Minor Axis of Elliptic Cylinder))/(pi*Height of Elliptic Cylinder*(Lateral Surface Area of Elliptic Cylinder/(pi*Height of Elliptic Cylinder)-Semi Minor Axis of Elliptic Cylinder)*Semi Minor Axis of Elliptic Cylinder)
  • Surface to Volume Ratio of Elliptic Cylinder = (Lateral Surface Area of Elliptic Cylinder+(2*Volume of Elliptic Cylinder)/Height of Elliptic Cylinder)/Volume of Elliptic Cylinder
  • Surface to Volume Ratio of Elliptic Cylinder = Total Surface Area of Elliptic Cylinder/(Height of Elliptic Cylinder*(Total Surface Area of Elliptic Cylinder-Lateral Surface Area of Elliptic Cylinder)/2)
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