Height of Elliptic Cylinder given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Elliptic Cylinder = (Lateral Surface Area of Elliptic Cylinder+(2*pi*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder))/(pi*Surface to Volume Ratio of Elliptic Cylinder*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder)
h = (LSA+(2*pi*b*a))/(pi*RA/V*b*a)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
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.
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.
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
Semi Major Axis of Elliptic Cylinder: 4 Meter --> 4 Meter No Conversion Required
Surface to Volume Ratio of Elliptic Cylinder: 1.1 1 per Meter --> 1.1 1 per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = (LSA+(2*pi*b*a))/(pi*RA/V*b*a) --> (95+(2*pi*2*4))/(pi*1.1*2*4)
Evaluating ... ...
h = 5.25448172584774
STEP 3: Convert Result to Output's Unit
5.25448172584774 Meter --> No Conversion Required
FINAL ANSWER
5.25448172584774 5.254482 Meter <-- Height of Elliptic Cylinder
(Calculation completed in 00.098 seconds)

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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St Joseph's College (SJC), Bengaluru
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Height of Elliptic Cylinder Calculators

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

Height of Elliptic Cylinder given Surface to Volume Ratio Formula

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

Height of Elliptic Cylinder given Surface to Volume Ratio calculator uses Height of Elliptic Cylinder = (Lateral Surface Area of Elliptic Cylinder+(2*pi*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder))/(pi*Surface to Volume Ratio of Elliptic Cylinder*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder) to calculate the Height of Elliptic Cylinder, Height of Elliptic Cylinder given Surface to Volume Ratio formula is defined as the vertical distance from the bottom elliptical face to the top of the Elliptic Cylinder and is calculated using lateral surface area, surface to volume ratio, semi-minor axis and semi-major axis of Elliptic Cylinder. Height of Elliptic Cylinder is denoted by h symbol.

How to calculate Height of Elliptic Cylinder given Surface to Volume Ratio using this online calculator? To use this online calculator for Height of Elliptic Cylinder given Surface to Volume Ratio, enter Lateral Surface Area of Elliptic Cylinder (LSA), Semi Minor Axis of Elliptic Cylinder (b), Semi Major Axis of Elliptic Cylinder (a) & Surface to Volume Ratio of Elliptic Cylinder (RA/V) and hit the calculate button. Here is how the Height of Elliptic Cylinder given Surface to Volume Ratio calculation can be explained with given input values -> 5.254482 = (95+(2*pi*2*4))/(pi*1.1*2*4).

FAQ

What is Height of Elliptic Cylinder given Surface to Volume Ratio?
Height of Elliptic Cylinder given Surface to Volume Ratio formula is defined as the vertical distance from the bottom elliptical face to the top of the Elliptic Cylinder and is calculated using lateral surface area, surface to volume ratio, semi-minor axis and semi-major axis of Elliptic Cylinder and is represented as h = (LSA+(2*pi*b*a))/(pi*RA/V*b*a) or Height of Elliptic Cylinder = (Lateral Surface Area of Elliptic Cylinder+(2*pi*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder))/(pi*Surface to Volume Ratio 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 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, 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 & 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.
How to calculate Height of Elliptic Cylinder given Surface to Volume Ratio?
Height of Elliptic Cylinder given Surface to Volume Ratio formula is defined as the vertical distance from the bottom elliptical face to the top of the Elliptic Cylinder and is calculated using lateral surface area, surface to volume ratio, semi-minor axis and semi-major axis of Elliptic Cylinder is calculated using Height of Elliptic Cylinder = (Lateral Surface Area of Elliptic Cylinder+(2*pi*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder))/(pi*Surface to Volume Ratio of Elliptic Cylinder*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder). To calculate Height of Elliptic Cylinder given Surface to Volume Ratio, you need Lateral Surface Area of Elliptic Cylinder (LSA), Semi Minor Axis of Elliptic Cylinder (b), Semi Major Axis of Elliptic Cylinder (a) & Surface to Volume Ratio of Elliptic Cylinder (RA/V). With our tool, you need to enter the respective value for Lateral Surface Area of Elliptic Cylinder, Semi Minor Axis of Elliptic Cylinder, Semi Major Axis of Elliptic Cylinder & Surface to Volume Ratio 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 Height of Elliptic Cylinder?
In this formula, Height of Elliptic Cylinder uses Lateral Surface Area of Elliptic Cylinder, Semi Minor Axis of Elliptic Cylinder, Semi Major Axis of Elliptic Cylinder & Surface to Volume Ratio of Elliptic Cylinder. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Height of Elliptic Cylinder = Lateral Surface Area of Elliptic Cylinder/(pi*(Semi Minor Axis of Elliptic Cylinder+Semi Major Axis of Elliptic Cylinder))
  • Height of Elliptic Cylinder = Volume of Elliptic Cylinder/(pi*Semi Minor Axis of Elliptic Cylinder*Semi Major Axis of Elliptic Cylinder)
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