FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Volume of Cylindrical Shell Formula

GoVolume of Cylindrical Shell given Wall Thickness and Inner Radius Formula

GoVolume of Cylindrical Shell given Wall Thickness and Outer Radius Formula

Fx Copy

LaTeX Copy

Volume of Cylindrical Shell is the total quantity of three dimensional space enclosed by the entire surface of the Cylindrical Shell. Check FAQs

V = π \cdot h \cdot ({r Outer}^{2} - {r Inner}^{2})

V - Volume of Cylindrical Shell?h - Height of Cylindrical Shell?r_Outer - Outer Radius of Cylindrical Shell?r_Inner - Inner Radius of Cylindrical Shell?π - Archimedes' constant?

Volume of Cylindrical Shell Example

With values

With units

Only example

Here is how the Volume of Cylindrical Shell equation looks like with Values.

Here is how the Volume of Cylindrical Shell equation looks like with Units.

Here is how the Volume of Cylindrical Shell equation looks like.

801.1061 = 3.1416 \cdot 5 \cdot (10^{2} - 7^{2})

801.1061m³ = 3.1416 \cdot 5m \cdot ({10m}^{2} - {7m}^{2})

801.1061 = 3.1416 \cdot 5 \cdot (10^{2} - 7^{2})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Volume of Cylindrical Shell

Volume of Cylindrical Shell Solution

Follow our step by step solution on how to calculate Volume of Cylindrical Shell?

FIRST Step Consider the formula

V = π \cdot h \cdot ({r Outer}^{2} - {r Inner}^{2})

Next Step Substitute values of Variables

∴

V = π \cdot 5m \cdot ({10m}^{2} - {7m}^{2})

Next Step Substitute values of Constants

∴

V = 3.1416 \cdot 5m \cdot ({10m}^{2} - {7m}^{2})

Next Step Prepare to Evaluate

∴

V = 3.1416 \cdot 5 \cdot (10^{2} - 7^{2})

Next Step Evaluate

∴

V = 801.106126665397m³

LAST Step Rounding Answer

∴

V = 801.1061m³

Volume of Cylindrical Shell Formula Elements

Variables

Constants

Volume of Cylindrical Shell

Volume of Cylindrical Shell is the total quantity of three dimensional space enclosed by the entire surface of the Cylindrical Shell.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Cylindrical Shell

Height of Cylindrical Shell

Height of Cylindrical Shell is the vertical distance from the base circular face to the top most point of the Cylindrical Shell.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Cylindrical Shell

Outer Radius of 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.

Symbol: r_Outer

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Radius of Cylindrical Shell

Inner Radius of 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.

Symbol: r_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Radius of Cylindrical Shell

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Volume of Cylindrical Shell

Go Volume of Cylindrical Shell given Wall Thickness and Inner Radius

V = π \cdot h \cdot ({(t Wall + r Inner)}^{2} - {r Inner}^{2})

Go Volume of Cylindrical Shell given Wall Thickness and Outer Radius

V = π \cdot h \cdot ({r Outer}^{2} - {(r Outer - t Wall)}^{2})

Other formulas in Volume of Cylindrical Shell category

Go Height of Cylindrical Shell given Lateral Surface Area

h = \frac{LSA}{2 \cdot π \cdot (r Outer + r Inner)}

Go Height of Cylindrical Shell given Volume

h = \frac{V}{π \cdot ({r Outer}^{2} - {r Inner}^{2})}

Go Inner Radius of Cylindrical Shell

r Inner = r Outer - t Wall

Go Inner Radius of Cylindrical Shell given Lateral Surface Area

r Inner = \frac{LSA}{2 \cdot π \cdot h} - r Outer

How to Evaluate Volume of Cylindrical Shell?

Volume of Cylindrical Shell evaluator uses Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2) to evaluate 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 evaluate Volume of Cylindrical Shell using this online evaluator? To use this online evaluator for Volume of Cylindrical Shell, enter Height of Cylindrical Shell (h), Outer Radius of Cylindrical Shell (r_Outer) & Inner Radius of Cylindrical Shell (r_Inner) and hit the calculate button.

FAQs on Volume of Cylindrical Shell

What is the formula to find Volume of Cylindrical Shell?

The formula of Volume of Cylindrical Shell is expressed as Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2). Here is an example- 801.1061 = pi*5*(10^2-7^2).

How to calculate Volume of Cylindrical Shell?

With Height of Cylindrical Shell (h), Outer Radius of Cylindrical Shell (r_Outer) & Inner Radius of Cylindrical Shell (r_Inner) we can find Volume of Cylindrical Shell using the formula - Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2). This formula also uses Archimedes' constant .

What are the other ways to Calculate Volume of Cylindrical Shell?

Here are the different ways to Calculate Volume of Cylindrical Shell-

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)

Can the Volume of Cylindrical Shell be negative?

No, the Volume of Cylindrical Shell, measured in Volume cannot be negative.

Which unit is used to measure Volume of Cylindrical Shell?

Volume of Cylindrical Shell is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Cylindrical Shell can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Volume of Cylindrical Shell Formula

​GoVolume of Cylindrical Shell given Wall Thickness and Inner Radius Formula

​GoVolume of Cylindrical Shell given Wall Thickness and Outer Radius Formula

Volume of Cylindrical Shell Example

Volume of Cylindrical Shell Solution

Volume of Cylindrical Shell Formula Elements

Other Formulas to find Volume of Cylindrical Shell

Other formulas in Volume of Cylindrical Shell category

How to Evaluate Volume of Cylindrical Shell?

FAQs on Volume of Cylindrical Shell

Variable Name

GoVolume of Cylindrical Shell given Wall Thickness and Inner Radius Formula

GoVolume of Cylindrical Shell given Wall Thickness and Outer Radius Formula