Height of Cylindrical Shell given Volume 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%
✖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 Volume [h]

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Height of Cylindrical Shell given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

Volume of Cylindrical Shell: 800 Cubic Meter --> 800 Cubic 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 = V/(pi*(r_Outer^2-r_Inner^2)) --> 800/(pi*(10^2-7^2))

Evaluating ... ...

h = 4.99309625386338

STEP 3: Convert Result to Output's Unit

4.99309625386338 Meter --> No Conversion Required

FINAL ANSWER

4.99309625386338 ≈ 4.993096 Meter <-- Height 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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< 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 Volume Formula

LaTeX Go

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

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 Volume?

Height of Cylindrical Shell given Volume calculator uses Height of Cylindrical Shell = Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)) to calculate the Height of Cylindrical Shell, Height of Cylindrical Shell given Volume formula is defined as the vertical distance from the base circular face to the top most point of the Cylindrical Shell, and calculated using the volume of the Cylindrical Shell. Height of Cylindrical Shell is denoted by h symbol.

How to calculate Height of Cylindrical Shell given Volume using this online calculator? To use this online calculator for Height of Cylindrical Shell given Volume, enter Volume of Cylindrical Shell (V), 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 Volume calculation can be explained with given input values -> 4.993096 = 800/(pi*(10^2-7^2)).

FAQ

What is Height of Cylindrical Shell given Volume?

Height of Cylindrical Shell given Volume formula is defined as the vertical distance from the base circular face to the top most point of the Cylindrical Shell, and calculated using the volume of the Cylindrical Shell and is represented as h = V/(pi*(r_Outer^2-r_Inner^2)) or Height of Cylindrical Shell = Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)). Volume of Cylindrical Shell is the total quantity of three dimensional space enclosed by the entire surface 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 Volume?

Height of Cylindrical Shell given Volume formula is defined as the vertical distance from the base circular face to the top most point of the Cylindrical Shell, and calculated using the volume of the Cylindrical Shell is calculated using Height of Cylindrical Shell = Volume of Cylindrical Shell/(pi*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)). To calculate Height of Cylindrical Shell given Volume, you need Volume of Cylindrical Shell (V), 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 Volume 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 Volume 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 = Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell))
Height of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell))

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