Volume of Cylindrical Shell Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)
V = pi*h*(rOuter^2-rInner^2)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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
Height of Cylindrical Shell: 5 Meter --> 5 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
V = pi*h*(rOuter^2-rInner^2) --> pi*5*(10^2-7^2)
Evaluating ... ...
V = 801.106126665397
STEP 3: Convert Result to Output's Unit
801.106126665397 Cubic Meter --> No Conversion Required
FINAL ANSWER
801.106126665397 801.1061 Cubic Meter <-- Volume of Cylindrical Shell
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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5 Volume of Cylindrical Shell Calculators

Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius
Go Volume 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)^2-Inner Radius of Cylindrical Shell^2)
Volume of Cylindrical Shell given Lateral Surface Area
Go Volume of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell))*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)
Volume of Cylindrical Shell given Wall Thickness and Inner Radius
Go Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*((Wall Thickness of Cylindrical Shell+Inner Radius of Cylindrical Shell)^2-Inner Radius of Cylindrical Shell^2)
Volume of Cylindrical Shell given Wall Thickness and Outer Radius
Go Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-(Outer Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell)^2)
Volume of Cylindrical Shell
Go Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)

14 Important Formulas of Cylindrical Shell Calculators

Total Surface Area of Cylindrical Shell
Go Total Surface Area of Cylindrical Shell = 2*pi*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell)*(Outer Radius of Cylindrical Shell-Inner Radius of Cylindrical Shell+Height of Cylindrical Shell)
Wall Thickness of Cylindrical Shell given Volume and Inner Radius
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
Total Surface Area of Cylindrical Shell given Wall Thickness and Outer Radius
Go Total Surface Area of Cylindrical Shell = 2*pi*((2*Outer Radius of Cylindrical Shell)-Wall Thickness of Cylindrical Shell)*(Wall Thickness of Cylindrical Shell+Height of Cylindrical Shell)
Volume of Cylindrical Shell given Wall Thickness and Inner Radius
Go Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*((Wall Thickness of Cylindrical Shell+Inner Radius of Cylindrical Shell)^2-Inner Radius of Cylindrical Shell^2)
Volume of Cylindrical Shell given Wall Thickness and Outer Radius
Go Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-(Outer Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell)^2)
Height of Cylindrical Shell given Lateral Surface Area
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
Go Inner Radius of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Outer Radius of Cylindrical Shell
Outer Radius of Cylindrical Shell given Lateral Surface Area
Go Outer Radius of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Inner Radius of Cylindrical Shell
Lateral Surface Area of Cylindrical Shell
Go Lateral Surface Area of Cylindrical Shell = 2*pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell)
Height of Cylindrical Shell given Volume
Go 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
Go Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)
Wall Thickness of Cylindrical Shell
Go Wall Thickness of Cylindrical Shell = Outer Radius of Cylindrical Shell-Inner Radius of Cylindrical Shell
Inner Radius of Cylindrical Shell
Go Inner Radius of Cylindrical Shell = Outer Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell
Outer Radius of Cylindrical Shell
Go Outer Radius of Cylindrical Shell = Wall Thickness of Cylindrical Shell+Inner Radius of Cylindrical Shell

Volume of Cylindrical Shell Formula

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

Volume of Cylindrical Shell calculator uses Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2) to calculate the Volume of Cylindrical Shell, Volume of Cylindrical Shell formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Cylindrical Shell. Volume of Cylindrical Shell is denoted by V symbol.

How to calculate Volume of Cylindrical Shell using this online calculator? To use this online calculator for Volume of Cylindrical Shell, enter Height of Cylindrical Shell (h), Outer Radius of Cylindrical Shell (rOuter) & Inner Radius of Cylindrical Shell (rInner) and hit the calculate button. Here is how the Volume of Cylindrical Shell calculation can be explained with given input values -> 801.1061 = pi*5*(10^2-7^2).

FAQ

What is Volume of Cylindrical Shell?
Volume of Cylindrical Shell formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Cylindrical Shell and is represented as V = pi*h*(rOuter^2-rInner^2) or Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2). Height of Cylindrical Shell is the vertical distance from the base circular face to the top most point 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 Volume of Cylindrical Shell?
Volume of Cylindrical Shell formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Cylindrical Shell is calculated using Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2). To calculate Volume of Cylindrical Shell, you need Height of Cylindrical Shell (h), Outer Radius of Cylindrical Shell (rOuter) & Inner Radius of Cylindrical Shell (rInner). With our tool, you need to enter the respective value for Height 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 Volume of Cylindrical Shell?
In this formula, Volume of Cylindrical Shell uses Height of Cylindrical Shell, Outer Radius of Cylindrical Shell & Inner Radius of Cylindrical Shell. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*((Wall Thickness of Cylindrical Shell+Inner Radius of Cylindrical Shell)^2-Inner Radius of Cylindrical Shell^2)
  • Volume 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)^2-Inner Radius of Cylindrical Shell^2)
  • Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-(Outer Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell)^2)
  • Volume of Cylindrical Shell = Lateral Surface Area of Cylindrical Shell/(2*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell))*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)
  • Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*((Wall Thickness of Cylindrical Shell+Inner Radius of Cylindrical Shell)^2-Inner Radius of Cylindrical Shell^2)
  • Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-(Outer Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell)^2)
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