Height of Flat End Cylinder given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Flat End Cylinder = (Lateral Surface Area of Flat End Cylinder+(pi*Radius of Flat End Cylinder*Side Length of Flat End Cylinder)+(pi*Radius of Flat End Cylinder^2))/((pi-4/3)*Radius of Flat End Cylinder^2*Surface to Volume Ratio of Flat End Cylinder)
h = (LSA+(pi*r*lSide)+(pi*r^2))/((pi-4/3)*r^2*RA/V)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Height of Flat End Cylinder - (Measured in Meter) - Height of Flat End Cylinder is the vertical distance from the bottom circular face to the top of the Flat End Cylinder.
Lateral Surface Area of Flat End Cylinder - (Measured in Square Meter) - Lateral Surface Area of Flat End Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Flat End Cylinder.
Radius of Flat End Cylinder - (Measured in Meter) - Radius of Flat End Cylinder is the distance between the center and any point on the circumference of the base circular face of the Flat End Cylinder.
Side Length of Flat End Cylinder - (Measured in Meter) - Side Length of Flat End Cylinder is the measurement or extent of side of Flat End Cylinder.
Surface to Volume Ratio of Flat End Cylinder - (Measured in 1 per Meter) - Surface to Volume Ratio of Flat End Cylinder is the numerical ratio of the total surface area of Flat End Cylinder to the volume of the Flat End Cylinder.
STEP 1: Convert Input(s) to Base Unit
Lateral Surface Area of Flat End Cylinder: 135 Square Meter --> 135 Square Meter No Conversion Required
Radius of Flat End Cylinder: 5 Meter --> 5 Meter No Conversion Required
Side Length of Flat End Cylinder: 13 Meter --> 13 Meter No Conversion Required
Surface to Volume Ratio of Flat End Cylinder: 0.8 1 per Meter --> 0.8 1 per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = (LSA+(pi*r*lSide)+(pi*r^2))/((pi-4/3)*r^2*RA/V) --> (135+(pi*5*13)+(pi*5^2))/((pi-4/3)*5^2*0.8)
Evaluating ... ...
h = 11.5509798330207
STEP 3: Convert Result to Output's Unit
11.5509798330207 Meter --> No Conversion Required
FINAL ANSWER
11.5509798330207 11.55098 Meter <-- Height of Flat End Cylinder
(Calculation completed in 00.004 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 Flat End Cylinder Calculators

Height of Flat End Cylinder given Surface to Volume Ratio
​ LaTeX ​ Go Height of Flat End Cylinder = (Lateral Surface Area of Flat End Cylinder+(pi*Radius of Flat End Cylinder*Side Length of Flat End Cylinder)+(pi*Radius of Flat End Cylinder^2))/((pi-4/3)*Radius of Flat End Cylinder^2*Surface to Volume Ratio of Flat End Cylinder)
Height of Flat End Cylinder given Lateral Surface Area
​ LaTeX ​ Go Height of Flat End Cylinder = Lateral Surface Area of Flat End Cylinder/(Radius of Flat End Cylinder*((2*pi)-4))
Height of Flat End Cylinder given Volume
​ LaTeX ​ Go Height of Flat End Cylinder = Volume of Flat End Cylinder/(Radius of Flat End Cylinder^2*(pi-4/3))
Height of Flat End Cylinder
​ LaTeX ​ Go Height of Flat End Cylinder = sqrt(Side Length of Flat End Cylinder^2-Radius of Flat End Cylinder^2)

Height of Flat End Cylinder given Surface to Volume Ratio Formula

​LaTeX ​Go
Height of Flat End Cylinder = (Lateral Surface Area of Flat End Cylinder+(pi*Radius of Flat End Cylinder*Side Length of Flat End Cylinder)+(pi*Radius of Flat End Cylinder^2))/((pi-4/3)*Radius of Flat End Cylinder^2*Surface to Volume Ratio of Flat End Cylinder)
h = (LSA+(pi*r*lSide)+(pi*r^2))/((pi-4/3)*r^2*RA/V)

What is a Flat End Cylinder?

Flat End Cylinder is the matching counterpart to two equivalent cylindrical wedges with the angle Φ=90°, which touch at their straight edges. Together with those two, it forms a full cylinder.

How to Calculate Height of Flat End Cylinder given Surface to Volume Ratio?

Height of Flat End Cylinder given Surface to Volume Ratio calculator uses Height of Flat End Cylinder = (Lateral Surface Area of Flat End Cylinder+(pi*Radius of Flat End Cylinder*Side Length of Flat End Cylinder)+(pi*Radius of Flat End Cylinder^2))/((pi-4/3)*Radius of Flat End Cylinder^2*Surface to Volume Ratio of Flat End Cylinder) to calculate the Height of Flat End Cylinder, Height of Flat End Cylinder given Surface to Volume Ratio formula is defined as the vertical distance from the bottom circular face to the top of the Flat End Cylinder, and is calculated using lateral surface area, radius, side length and surface to volume ratio of Flat End Cylinder. Height of Flat End Cylinder is denoted by h symbol.

How to calculate Height of Flat End Cylinder given Surface to Volume Ratio using this online calculator? To use this online calculator for Height of Flat End Cylinder given Surface to Volume Ratio, enter Lateral Surface Area of Flat End Cylinder (LSA), Radius of Flat End Cylinder (r), Side Length of Flat End Cylinder (lSide) & Surface to Volume Ratio of Flat End Cylinder (RA/V) and hit the calculate button. Here is how the Height of Flat End Cylinder given Surface to Volume Ratio calculation can be explained with given input values -> 11.55098 = (135+(pi*5*13)+(pi*5^2))/((pi-4/3)*5^2*0.8).

FAQ

What is Height of Flat End Cylinder given Surface to Volume Ratio?
Height of Flat End Cylinder given Surface to Volume Ratio formula is defined as the vertical distance from the bottom circular face to the top of the Flat End Cylinder, and is calculated using lateral surface area, radius, side length and surface to volume ratio of Flat End Cylinder and is represented as h = (LSA+(pi*r*lSide)+(pi*r^2))/((pi-4/3)*r^2*RA/V) or Height of Flat End Cylinder = (Lateral Surface Area of Flat End Cylinder+(pi*Radius of Flat End Cylinder*Side Length of Flat End Cylinder)+(pi*Radius of Flat End Cylinder^2))/((pi-4/3)*Radius of Flat End Cylinder^2*Surface to Volume Ratio of Flat End Cylinder). Lateral Surface Area of Flat End Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Flat End Cylinder, Radius of Flat End Cylinder is the distance between the center and any point on the circumference of the base circular face of the Flat End Cylinder, Side Length of Flat End Cylinder is the measurement or extent of side of Flat End Cylinder & Surface to Volume Ratio of Flat End Cylinder is the numerical ratio of the total surface area of Flat End Cylinder to the volume of the Flat End Cylinder.
How to calculate Height of Flat End Cylinder given Surface to Volume Ratio?
Height of Flat End Cylinder given Surface to Volume Ratio formula is defined as the vertical distance from the bottom circular face to the top of the Flat End Cylinder, and is calculated using lateral surface area, radius, side length and surface to volume ratio of Flat End Cylinder is calculated using Height of Flat End Cylinder = (Lateral Surface Area of Flat End Cylinder+(pi*Radius of Flat End Cylinder*Side Length of Flat End Cylinder)+(pi*Radius of Flat End Cylinder^2))/((pi-4/3)*Radius of Flat End Cylinder^2*Surface to Volume Ratio of Flat End Cylinder). To calculate Height of Flat End Cylinder given Surface to Volume Ratio, you need Lateral Surface Area of Flat End Cylinder (LSA), Radius of Flat End Cylinder (r), Side Length of Flat End Cylinder (lSide) & Surface to Volume Ratio of Flat End Cylinder (RA/V). With our tool, you need to enter the respective value for Lateral Surface Area of Flat End Cylinder, Radius of Flat End Cylinder, Side Length of Flat End Cylinder & Surface to Volume Ratio of Flat End 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 Flat End Cylinder?
In this formula, Height of Flat End Cylinder uses Lateral Surface Area of Flat End Cylinder, Radius of Flat End Cylinder, Side Length of Flat End Cylinder & Surface to Volume Ratio of Flat End Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Height of Flat End Cylinder = sqrt(Side Length of Flat End Cylinder^2-Radius of Flat End Cylinder^2)
  • Height of Flat End Cylinder = Lateral Surface Area of Flat End Cylinder/(Radius of Flat End Cylinder*((2*pi)-4))
  • Height of Flat End Cylinder = Volume of Flat End Cylinder/(Radius of Flat End Cylinder^2*(pi-4/3))
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