Surface to Volume Ratio of Flat End Cylinder given Volume and Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface to Volume Ratio of Flat End Cylinder = (Lateral Surface Area of Flat End Cylinder+(pi*sqrt(Volume of Flat End Cylinder/(Height of Flat End Cylinder*(pi-4/3)))*Side Length of Flat End Cylinder)+(pi*Volume of Flat End Cylinder/(Height of Flat End Cylinder*(pi-4/3))))/Volume of Flat End Cylinder
RA/V = (LSA+(pi*sqrt(V/(h*(pi-4/3)))*lSide)+(pi*V/(h*(pi-4/3))))/V
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
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.
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.
Volume of Flat End Cylinder - (Measured in Cubic Meter) - Volume of Flat End Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Flat End Cylinder.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Lateral Surface Area of Flat End Cylinder: 135 Square Meter --> 135 Square Meter No Conversion Required
Volume of Flat End Cylinder: 540 Cubic Meter --> 540 Cubic Meter No Conversion Required
Height of Flat End Cylinder: 12 Meter --> 12 Meter No Conversion Required
Side Length of Flat End Cylinder: 13 Meter --> 13 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RA/V = (LSA+(pi*sqrt(V/(h*(pi-4/3)))*lSide)+(pi*V/(h*(pi-4/3))))/V --> (135+(pi*sqrt(540/(12*(pi-4/3)))*13)+(pi*540/(12*(pi-4/3))))/540
Evaluating ... ...
RA/V = 0.772069842779535
STEP 3: Convert Result to Output's Unit
0.772069842779535 1 per Meter --> No Conversion Required
FINAL ANSWER
0.772069842779535 0.77207 1 per Meter <-- Surface to Volume Ratio 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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Surface to Volume Ratio of Flat End Cylinder Calculators

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

Surface to Volume Ratio of Flat End Cylinder given Volume and Height Formula

​LaTeX ​Go
Surface to Volume Ratio of Flat End Cylinder = (Lateral Surface Area of Flat End Cylinder+(pi*sqrt(Volume of Flat End Cylinder/(Height of Flat End Cylinder*(pi-4/3)))*Side Length of Flat End Cylinder)+(pi*Volume of Flat End Cylinder/(Height of Flat End Cylinder*(pi-4/3))))/Volume of Flat End Cylinder
RA/V = (LSA+(pi*sqrt(V/(h*(pi-4/3)))*lSide)+(pi*V/(h*(pi-4/3))))/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 Surface to Volume Ratio of Flat End Cylinder given Volume and Height?

Surface to Volume Ratio of Flat End Cylinder given Volume and Height calculator uses Surface to Volume Ratio of Flat End Cylinder = (Lateral Surface Area of Flat End Cylinder+(pi*sqrt(Volume of Flat End Cylinder/(Height of Flat End Cylinder*(pi-4/3)))*Side Length of Flat End Cylinder)+(pi*Volume of Flat End Cylinder/(Height of Flat End Cylinder*(pi-4/3))))/Volume of Flat End Cylinder to calculate the Surface to Volume Ratio of Flat End Cylinder, Surface to Volume Ratio of Flat End Cylinder given Volume and Height formula is defined as the numerical ratio of the total surface area of Flat End Cylinder to the volume of the Flat End Cylinder, and is calculated using lateral surface area, height, side length and volume of Flat End Cylinder. Surface to Volume Ratio of Flat End Cylinder is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Flat End Cylinder given Volume and Height using this online calculator? To use this online calculator for Surface to Volume Ratio of Flat End Cylinder given Volume and Height, enter Lateral Surface Area of Flat End Cylinder (LSA), Volume of Flat End Cylinder (V), Height of Flat End Cylinder (h) & Side Length of Flat End Cylinder (lSide) and hit the calculate button. Here is how the Surface to Volume Ratio of Flat End Cylinder given Volume and Height calculation can be explained with given input values -> 0.77207 = (135+(pi*sqrt(540/(12*(pi-4/3)))*13)+(pi*540/(12*(pi-4/3))))/540.

FAQ

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