Surface to Volume Ratio of Cylindrical Shell 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%
✖Height of Cylindrical Shell is the vertical distance from the base circular face to the top most point of the Cylindrical Shell.ⓘ Height of Cylindrical Shell [h]			+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 [R_A/V]

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

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.
Height of Cylindrical Shell - (Measured in Meter) - Height of Cylindrical Shell is the vertical distance from the base circular face to the top most point 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
Height of Cylindrical Shell: 5 Meter --> 5 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+h))/(h*(r_Outer^2-r_Inner^2)) --> (2*(10+7)*(10-7+5))/(5*(10^2-7^2))

Evaluating ... ...

R_A/V = 1.06666666666667

STEP 3: Convert Result to Output's Unit

1.06666666666667 1 per Meter --> No Conversion Required

FINAL ANSWER

1.06666666666667 ≈ 1.066667 1 per Meter <-- Surface to Volume Ratio of Cylindrical Shell

(Calculation completed in 00.004 seconds)

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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 Formula

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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?

Surface to Volume Ratio of Cylindrical Shell 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+Height of Cylindrical Shell))/(Height of Cylindrical Shell*(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 formula is defined as the numerical ratio of the total surface area of Cylindrical Shell to 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 using this online calculator? To use this online calculator for Surface to Volume Ratio of Cylindrical Shell, enter Outer Radius of Cylindrical Shell (r_Outer), Inner Radius of Cylindrical Shell (r_Inner) & Height of Cylindrical Shell (h) and hit the calculate button. Here is how the Surface to Volume Ratio of Cylindrical Shell calculation can be explained with given input values -> 1.066667 = (2*(10+7)*(10-7+5))/(5*(10^2-7^2)).

FAQ

What is Surface to Volume Ratio of Cylindrical Shell?

Surface to Volume Ratio of Cylindrical Shell formula is defined as the numerical ratio of the total surface area of Cylindrical Shell to the volume of the Cylindrical Shell and is represented as R_A/V = (2*(r_Outer+r_Inner)*(r_Outer-r_Inner+h))/(h*(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+Height of Cylindrical Shell))/(Height of Cylindrical Shell*(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 & Height of Cylindrical Shell is the vertical distance from the base circular face to the top most point of the Cylindrical Shell.

How to calculate Surface to Volume Ratio of Cylindrical Shell?

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

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