Height of Cylindrical Shell given Lateral Surface Area Calculator

✖Lateral Surface Area of Cylindrical Shell is the total quantity of plane enclosed on all the lateral curved surfaces of the Cylindrical Shell.ⓘ Lateral Surface Area of Cylindrical Shell [LSA]			+10% -10%
✖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 given Lateral Surface Area [h]

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Height of Cylindrical Shell given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell))
h = LSA/(2*pi*(r_Outer+r_Inner))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Lateral Surface Area of Cylindrical Shell - (Measured in Square Meter) - Lateral Surface Area of Cylindrical Shell is the total quantity of plane enclosed on all the lateral curved surfaces 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.

STEP 1: Convert Input(s) to Base Unit

Lateral Surface Area of Cylindrical Shell: 530 Square Meter --> 530 Square Meter No Conversion Required
Outer Radius of Cylindrical Shell: 10 Meter --> 10 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

h = LSA/(2*pi*(r_Outer+r_Inner)) --> 530/(2*pi*(10+7))

Evaluating ... ...

h = 4.96188940227674

STEP 3: Convert Result to Output's Unit

4.96188940227674 Meter --> No Conversion Required

FINAL ANSWER

4.96188940227674 ≈ 4.961889 Meter <-- Height of Cylindrical Shell

(Calculation completed in 00.020 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 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))

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))

< 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

Height of Cylindrical Shell given Lateral Surface Area Formula

LaTeX Go

Height of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell))
h = LSA/(2*pi*(r_Outer+r_Inner))

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 Height of Cylindrical Shell given Lateral Surface Area?

Height of Cylindrical Shell given Lateral Surface Area calculator uses Height of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell)) to calculate the Height of Cylindrical Shell, Height of Cylindrical Shell given Lateral Surface Area formula is defined as the vertical distance from the base circular face to the top most point of the Cylindrical Shell, and calculated using lateral surface area of the Cylindrical Shell. Height of Cylindrical Shell is denoted by h symbol.

How to calculate Height of Cylindrical Shell given Lateral Surface Area using this online calculator? To use this online calculator for Height of Cylindrical Shell given Lateral Surface Area, enter Lateral Surface Area of Cylindrical Shell (LSA), Outer Radius of Cylindrical Shell (r_Outer) & Inner Radius of Cylindrical Shell (r_Inner) and hit the calculate button. Here is how the Height of Cylindrical Shell given Lateral Surface Area calculation can be explained with given input values -> 4.961889 = 530/(2*pi*(10+7)).

FAQ

What is Height of Cylindrical Shell given Lateral Surface Area?

Height of Cylindrical Shell given Lateral Surface Area formula is defined as the vertical distance from the base circular face to the top most point of the Cylindrical Shell, and calculated using lateral surface area of the Cylindrical Shell and is represented as h = LSA/(2*pi*(r_Outer+r_Inner)) or Height of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell)). Lateral Surface Area of Cylindrical Shell is the total quantity of plane enclosed on all the lateral curved surfaces of the Cylindrical Shell, 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.

How to calculate Height of Cylindrical Shell given Lateral Surface Area?

Height of Cylindrical Shell given Lateral Surface Area formula is defined as the vertical distance from the base circular face to the top most point of the Cylindrical Shell, and calculated using lateral surface area of the Cylindrical Shell is calculated using Height of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell)). To calculate Height of Cylindrical Shell given Lateral Surface Area, you need Lateral Surface Area of Cylindrical Shell (LSA), Outer Radius of Cylindrical Shell (r_Outer) & Inner Radius of Cylindrical Shell (r_Inner). With our tool, you need to enter the respective value for Lateral Surface Area of Cylindrical Shell, Outer Radius 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 Height of Cylindrical Shell?

In this formula, Height of Cylindrical Shell uses Lateral Surface Area of Cylindrical Shell, Outer Radius of Cylindrical Shell & Inner Radius of Cylindrical Shell. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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