Semi Major Axis of Elliptic Cylinder given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Semi Major Axis of Elliptic Cylinder = Lateral Surface Area of Elliptic Cylinder/(pi*Semi Minor Axis of Elliptic Cylinder*((Surface to Volume Ratio of Elliptic Cylinder*Height of Elliptic Cylinder)-2))
a = LSA/(pi*b*((RA/V*h)-2))
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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 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.
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.
Height of Elliptic Cylinder - (Measured in Meter) - Height of Elliptic Cylinder is the vertical distance from the bottom elliptical face to the top 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 Minor Axis of Elliptic Cylinder: 2 Meter --> 2 Meter No Conversion Required
Surface to Volume Ratio of Elliptic Cylinder: 1.1 1 per Meter --> 1.1 1 per Meter No Conversion Required
Height of Elliptic Cylinder: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = LSA/(pi*b*((RA/V*h)-2)) --> 95/(pi*2*((1.1*5)-2))
Evaluating ... ...
a = 4.31991988392287
STEP 3: Convert Result to Output's Unit
4.31991988392287 Meter --> No Conversion Required
FINAL ANSWER
4.31991988392287 4.31992 Meter <-- Semi Major Axis of Elliptic Cylinder
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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4 Semi Major Axis of Elliptic Cylinder Calculators

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

Semi Major Axis of Elliptic Cylinder given Surface to Volume Ratio Formula

Semi Major Axis of Elliptic Cylinder = Lateral Surface Area of Elliptic Cylinder/(pi*Semi Minor Axis of Elliptic Cylinder*((Surface to Volume Ratio of Elliptic Cylinder*Height of Elliptic Cylinder)-2))
a = LSA/(pi*b*((RA/V*h)-2))

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 Semi Major Axis of Elliptic Cylinder given Surface to Volume Ratio?

Semi Major Axis of Elliptic Cylinder given Surface to Volume Ratio calculator uses Semi Major Axis of Elliptic Cylinder = Lateral Surface Area of Elliptic Cylinder/(pi*Semi Minor Axis of Elliptic Cylinder*((Surface to Volume Ratio of Elliptic Cylinder*Height of Elliptic Cylinder)-2)) to calculate the Semi Major Axis of Elliptic Cylinder, Semi Major Axis of Elliptic Cylinder given Surface to Volume Ratio formula is defined as the longest radius of the elliptic face, as it begins in the center of the elliptic face, follows the major axis, and ends at the furthest edge-point, and is calculated using the lateral surface area, surface to volume ratio, height and semi-minor axis of Elliptic Cylinder. Semi Major Axis of Elliptic Cylinder is denoted by a symbol.

How to calculate Semi Major Axis of Elliptic Cylinder given Surface to Volume Ratio using this online calculator? To use this online calculator for Semi Major Axis of Elliptic Cylinder given Surface to Volume Ratio, enter Lateral Surface Area of Elliptic Cylinder (LSA), Semi Minor Axis of Elliptic Cylinder (b), Surface to Volume Ratio of Elliptic Cylinder (RA/V) & Height of Elliptic Cylinder (h) and hit the calculate button. Here is how the Semi Major Axis of Elliptic Cylinder given Surface to Volume Ratio calculation can be explained with given input values -> 4.31992 = 95/(pi*2*((1.1*5)-2)).

FAQ

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