Surface to Volume Ratio of Cylindrical Shell given Volume Calculator

✖Outer Radius of Cylindrical Shell is the distance between center and any point on the circumference of any of the circular faces in the outer cylinder of the Cylindrical Shell.ⓘ Outer Radius of Cylindrical Shell [r_Outer]			+10% -10%
✖Inner Radius of Cylindrical Shell is the distance between center and any point on the circumference of any of the circular faces in the inner cylinder of the Cylindrical Shell.ⓘ Inner Radius of Cylindrical Shell [r_Inner]			+10% -10%
✖Volume of Cylindrical Shell is the total quantity of three dimensional space enclosed by the entire surface of the Cylindrical Shell.ⓘ Volume of Cylindrical Shell [V]			+10% -10%

✖Surface to Volume Ratio of Cylindrical Shell is the numerical ratio of the total surface area of a Cylindrical Shell to the volume of the Cylindrical Shell.ⓘ Surface to Volume Ratio of Cylindrical Shell given Volume [R_A/V]

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Surface to Volume Ratio of Cylindrical Shell given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Cylindrical Shell = (2*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell)*(Outer Radius of Cylindrical Shell-Inner Radius of Cylindrical Shell+Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2))))/(Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2))*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2))
R_A/V = (2*(r_Outer+r_Inner)*(r_Outer-r_Inner+V/(pi*(r_Outer^2-r_Inner^2))))/(V/(pi*(r_Outer^2-r_Inner^2))*(r_Outer^2-r_Inner^2))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Surface to Volume Ratio of Cylindrical Shell - (Measured in 1 per Meter) - Surface to Volume Ratio of Cylindrical Shell is the numerical ratio of the total surface area of a Cylindrical Shell to the volume of the Cylindrical Shell.
Outer Radius of Cylindrical Shell - (Measured in Meter) - Outer Radius of Cylindrical Shell is the distance between center and any point on the circumference of any of the circular faces in the outer cylinder of the Cylindrical Shell.
Inner Radius of Cylindrical Shell - (Measured in Meter) - Inner Radius of Cylindrical Shell is the distance between center and any point on the circumference of any of the circular faces in the inner cylinder of the Cylindrical Shell.
Volume of Cylindrical Shell - (Measured in Cubic Meter) - Volume of Cylindrical Shell is the total quantity of three dimensional space enclosed by the entire surface of the Cylindrical Shell.

STEP 1: Convert Input(s) to Base Unit

Outer Radius of Cylindrical Shell: 10 Meter --> 10 Meter No Conversion Required
Inner Radius of Cylindrical Shell: 7 Meter --> 7 Meter No Conversion Required
Volume of Cylindrical Shell: 800 Cubic Meter --> 800 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (2*(r_Outer+r_Inner)*(r_Outer-r_Inner+V/(pi*(r_Outer^2-r_Inner^2))))/(V/(pi*(r_Outer^2-r_Inner^2))*(r_Outer^2-r_Inner^2)) --> (2*(10+7)*(10-7+800/(pi*(10^2-7^2))))/(800/(pi*(10^2-7^2))*(10^2-7^2))

Evaluating ... ...

R_A/V = 1.06721972999937

STEP 3: Convert Result to Output's Unit

1.06721972999937 1 per Meter --> No Conversion Required

FINAL ANSWER

1.06721972999937 ≈ 1.06722 1 per Meter <-- Surface to Volume Ratio of Cylindrical Shell

(Calculation completed in 00.008 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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< Surface to Volume Ratio of Cylindrical Shell Calculators

Surface to Volume Ratio of Cylindrical Shell given Lateral Surface Area and Inner Radius

LaTeX Go Surface to Volume Ratio of Cylindrical Shell = (Lateral Surface Area of Cylindrical Shell/(pi*Height of Cylindrical Shell)*((Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Inner Radius of Cylindrical Shell)-Inner Radius of Cylindrical Shell+Height of Cylindrical Shell))/(Height of Cylindrical Shell*((Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Inner Radius of Cylindrical Shell)^2-Inner Radius of Cylindrical Shell^2))

Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Outer Radius

LaTeX Go Surface to Volume Ratio of Cylindrical Shell = (2*((Wall Thickness of Cylindrical Shell+Outer Radius of Cylindrical Shell)+Outer Radius of Cylindrical Shell)*((Wall Thickness of Cylindrical Shell+Outer Radius of Cylindrical Shell)-Outer Radius of Cylindrical Shell+Height of Cylindrical Shell))/(Height of Cylindrical Shell*((Wall Thickness of Cylindrical Shell+Outer Radius of Cylindrical Shell)^2-Outer Radius of Cylindrical Shell^2))

Surface to Volume Ratio of Cylindrical Shell given Wall Thickness and Inner Radius

LaTeX Go Surface to Volume Ratio of Cylindrical Shell = (2*(Inner Radius of Cylindrical Shell+(Inner Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell))*(Inner Radius of Cylindrical Shell-(Inner Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell)+Height of Cylindrical Shell))/(Height of Cylindrical Shell*(Inner Radius of Cylindrical Shell^2-(Inner Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell)^2))

Surface to Volume Ratio of Cylindrical Shell

LaTeX Go Surface to Volume Ratio of Cylindrical Shell = (2*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell)*(Outer Radius of Cylindrical Shell-Inner Radius of Cylindrical Shell+Height of Cylindrical Shell))/(Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2))

Surface to Volume Ratio of Cylindrical Shell given Volume Formula

LaTeX Go

What is a Cylindrical Shell?

A Cylindrical Shell is simply speaking, the space enclosed by two concentric circular cylinders. That is, if two circular cylinders of same height are kept one inside another, in such a way that their central axis coincide, then the space bounded in between these cylinders along with the annulus surfaces of proper size on the top and bottom together forms the Cylindrical Shell. An annulus in two dimensions is the compression of a Cylindrical Shell into a horizontal plane.

How to Calculate Surface to Volume Ratio of Cylindrical Shell given Volume?

Surface to Volume Ratio of Cylindrical Shell given Volume calculator uses Surface to Volume Ratio of Cylindrical Shell = (2*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell)*(Outer Radius of Cylindrical Shell-Inner Radius of Cylindrical Shell+Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2))))/(Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2))*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)) to calculate the Surface to Volume Ratio of Cylindrical Shell, Surface to Volume Ratio of Cylindrical Shell given Volume formula is defined as the numerical ratio of the total surface area of Cylindrical Shell to the volume of the Cylindrical Shell, and calculated using the volume of the Cylindrical Shell. Surface to Volume Ratio of Cylindrical Shell is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Cylindrical Shell given Volume using this online calculator? To use this online calculator for Surface to Volume Ratio of Cylindrical Shell given Volume, enter Outer Radius of Cylindrical Shell (r_Outer), Inner Radius of Cylindrical Shell (r_Inner) & Volume of Cylindrical Shell (V) and hit the calculate button. Here is how the Surface to Volume Ratio of Cylindrical Shell given Volume calculation can be explained with given input values -> 1.06722 = (2*(10+7)*(10-7+800/(pi*(10^2-7^2))))/(800/(pi*(10^2-7^2))*(10^2-7^2)).

FAQ

What is Surface to Volume Ratio of Cylindrical Shell given Volume?

Surface to Volume Ratio of Cylindrical Shell given Volume formula is defined as the numerical ratio of the total surface area of Cylindrical Shell to the volume of the Cylindrical Shell, and calculated using the volume of the Cylindrical Shell and is represented as R_A/V = (2*(r_Outer+r_Inner)*(r_Outer-r_Inner+V/(pi*(r_Outer^2-r_Inner^2))))/(V/(pi*(r_Outer^2-r_Inner^2))*(r_Outer^2-r_Inner^2)) or Surface to Volume Ratio of Cylindrical Shell = (2*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell)*(Outer Radius of Cylindrical Shell-Inner Radius of Cylindrical Shell+Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2))))/(Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2))*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)). Outer Radius of Cylindrical Shell is the distance between center and any point on the circumference of any of the circular faces in the outer cylinder of the Cylindrical Shell, Inner Radius of Cylindrical Shell is the distance between center and any point on the circumference of any of the circular faces in the inner cylinder of the Cylindrical Shell & Volume of Cylindrical Shell is the total quantity of three dimensional space enclosed by the entire surface of the Cylindrical Shell.

How to calculate Surface to Volume Ratio of Cylindrical Shell given Volume?

Surface to Volume Ratio of Cylindrical Shell given Volume formula is defined as the numerical ratio of the total surface area of Cylindrical Shell to the volume of the Cylindrical Shell, and calculated using the volume of the Cylindrical Shell is calculated using Surface to Volume Ratio of Cylindrical Shell = (2*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell)*(Outer Radius of Cylindrical Shell-Inner Radius of Cylindrical Shell+Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2))))/(Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2))*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)). To calculate Surface to Volume Ratio of Cylindrical Shell given Volume, you need Outer Radius of Cylindrical Shell (r_Outer), Inner Radius of Cylindrical Shell (r_Inner) & Volume of Cylindrical Shell (V). With our tool, you need to enter the respective value for Outer Radius of Cylindrical Shell, Inner Radius of Cylindrical Shell & Volume of Cylindrical Shell 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 Cylindrical Shell?

In this formula, Surface to Volume Ratio of Cylindrical Shell uses Outer Radius of Cylindrical Shell, Inner Radius of Cylindrical Shell & Volume of Cylindrical Shell. We can use 3 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Cylindrical Shell = (2*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell)*(Outer Radius of Cylindrical Shell-Inner Radius of Cylindrical Shell+Height of Cylindrical Shell))/(Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2))
Surface to Volume Ratio of Cylindrical Shell = (2*((Wall Thickness of Cylindrical Shell+Outer Radius of Cylindrical Shell)+Outer Radius of Cylindrical Shell)*((Wall Thickness of Cylindrical Shell+Outer Radius of Cylindrical Shell)-Outer Radius of Cylindrical Shell+Height of Cylindrical Shell))/(Height of Cylindrical Shell*((Wall Thickness of Cylindrical Shell+Outer Radius of Cylindrical Shell)^2-Outer Radius of Cylindrical Shell^2))
Surface to Volume Ratio of Cylindrical Shell = (2*(Inner Radius of Cylindrical Shell+(Inner Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell))*(Inner Radius of Cylindrical Shell-(Inner Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell)+Height of Cylindrical Shell))/(Height of Cylindrical Shell*(Inner Radius of Cylindrical Shell^2-(Inner Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell)^2))

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