Wall Thickness of Cylindrical Shell given Volume and Inner Radius Calculator

✖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%
✖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%
✖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%

✖Wall Thickness of Cylindrical Shell is the shortest distance between the lateral curved surfaces of the inner and outer cylinders of the Cylindrical Shell.ⓘ Wall Thickness of Cylindrical Shell given Volume and Inner Radius [t_Wall]

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Wall Thickness of Cylindrical Shell given Volume and Inner Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wall Thickness of Cylindrical Shell = sqrt(Volume of Cylindrical Shell/(pi*Height of Cylindrical Shell)+Inner Radius of Cylindrical Shell^2)-Inner Radius of Cylindrical Shell
t_Wall = sqrt(V/(pi*h)+r_Inner^2)-r_Inner
This formula uses 1 Constants, 1 Functions, 4 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

Wall Thickness of Cylindrical Shell - (Measured in Meter) - Wall Thickness of Cylindrical Shell is the shortest distance between the lateral curved surfaces of the inner and outer cylinders 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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Volume of Cylindrical Shell: 800 Cubic Meter --> 800 Cubic Meter No Conversion Required
Height of Cylindrical Shell: 5 Meter --> 5 Meter No Conversion Required
Inner Radius of Cylindrical Shell: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_Wall = sqrt(V/(pi*h)+r_Inner^2)-r_Inner --> sqrt(800/(pi*5)+7^2)-7

Evaluating ... ...

t_Wall = 2.99647846941144

STEP 3: Convert Result to Output's Unit

2.99647846941144 Meter --> No Conversion Required

FINAL ANSWER

2.99647846941144 ≈ 2.996478 Meter <-- Wall Thickness of Cylindrical Shell

(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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< Wall Thickness of Cylindrical Shell Calculators

Wall Thickness of Cylindrical Shell given Volume and Inner Radius

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

Wall Thickness of Cylindrical Shell given Lateral Surface Area

LaTeX Go Wall Thickness 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

Wall Thickness of Cylindrical Shell

LaTeX Go Wall Thickness of Cylindrical Shell = Outer Radius of Cylindrical Shell-Inner Radius of Cylindrical Shell

< Important Formulas of Cylindrical Shell Calculators

Height of Cylindrical Shell given Lateral Surface Area

LaTeX Go Height of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell))

Inner Radius of Cylindrical Shell given Lateral Surface Area

LaTeX Go Inner Radius of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Outer Radius of Cylindrical Shell

Height of Cylindrical Shell given Volume

LaTeX Go Height of Cylindrical Shell = Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2))

Inner Radius of Cylindrical Shell

LaTeX Go Inner Radius of Cylindrical Shell = Outer Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell

Wall Thickness of Cylindrical Shell given Volume and Inner Radius 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 Wall Thickness of Cylindrical Shell given Volume and Inner Radius?

Wall Thickness of Cylindrical Shell given Volume and Inner Radius calculator uses Wall Thickness of Cylindrical Shell = sqrt(Volume of Cylindrical Shell/(pi*Height of Cylindrical Shell)+Inner Radius of Cylindrical Shell^2)-Inner Radius of Cylindrical Shell to calculate the Wall Thickness of Cylindrical Shell, Wall Thickness of Cylindrical Shell given Volume and Inner Radius formula is defined as the shortest distance between the lateral curved surfaces of the inner and outer cylinders of the Cylindrical Shell, and calculated using the volume and inner radius of the Cylindrical Shell. Wall Thickness of Cylindrical Shell is denoted by t_Wall symbol.

How to calculate Wall Thickness of Cylindrical Shell given Volume and Inner Radius using this online calculator? To use this online calculator for Wall Thickness of Cylindrical Shell given Volume and Inner Radius, enter Volume of Cylindrical Shell (V), Height of Cylindrical Shell (h) & Inner Radius of Cylindrical Shell (r_Inner) and hit the calculate button. Here is how the Wall Thickness of Cylindrical Shell given Volume and Inner Radius calculation can be explained with given input values -> 2.996478 = sqrt(800/(pi*5)+7^2)-7.

FAQ

What is Wall Thickness of Cylindrical Shell given Volume and Inner Radius?

Wall Thickness of Cylindrical Shell given Volume and Inner Radius formula is defined as the shortest distance between the lateral curved surfaces of the inner and outer cylinders of the Cylindrical Shell, and calculated using the volume and inner radius of the Cylindrical Shell and is represented as t_Wall = sqrt(V/(pi*h)+r_Inner^2)-r_Inner or Wall Thickness of Cylindrical Shell = sqrt(Volume of Cylindrical Shell/(pi*Height of Cylindrical Shell)+Inner Radius of Cylindrical Shell^2)-Inner Radius of Cylindrical Shell. Volume of Cylindrical Shell is the total quantity of three dimensional space enclosed by the entire surface 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 & 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.

How to calculate Wall Thickness of Cylindrical Shell given Volume and Inner Radius?

Wall Thickness of Cylindrical Shell given Volume and Inner Radius formula is defined as the shortest distance between the lateral curved surfaces of the inner and outer cylinders of the Cylindrical Shell, and calculated using the volume and inner radius of the Cylindrical Shell is calculated using Wall Thickness of Cylindrical Shell = sqrt(Volume of Cylindrical Shell/(pi*Height of Cylindrical Shell)+Inner Radius of Cylindrical Shell^2)-Inner Radius of Cylindrical Shell. To calculate Wall Thickness of Cylindrical Shell given Volume and Inner Radius, you need Volume of Cylindrical Shell (V), Height of Cylindrical Shell (h) & Inner Radius of Cylindrical Shell (r_Inner). With our tool, you need to enter the respective value for Volume of Cylindrical Shell, Height of Cylindrical Shell & Inner Radius 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 Wall Thickness of Cylindrical Shell?

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

Wall Thickness of Cylindrical Shell = Outer Radius of Cylindrical Shell-Inner Radius of Cylindrical Shell
Wall Thickness 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
Wall Thickness of Cylindrical Shell = Outer Radius of Cylindrical Shell-Inner Radius of Cylindrical Shell

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