FormulaDen.com

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

Lateral Surface Area of Cylindrical Shell given Volume Formula

GoLateral Surface Area of Cylindrical Shell Formula

GoLateral Surface Area of Cylindrical Shell given Volume and Inner Radius Formula

Fx Copy

LaTeX Copy

Lateral Surface Area of Cylindrical Shell is the total quantity of plane enclosed on all the lateral curved surfaces of the Cylindrical Shell. Check FAQs

LSA = \frac{2 \cdot V}{{r Outer}^{2} - {r Inner}^{2}} \cdot (r Outer + r Inner)

LSA - Lateral Surface Area of Cylindrical Shell?V - Volume of Cylindrical Shell?r_Outer - Outer Radius of Cylindrical Shell?r_Inner - Inner Radius of Cylindrical Shell?

Lateral Surface Area of Cylindrical Shell given Volume Example

With values

With units

Only example

Here is how the Lateral Surface Area of Cylindrical Shell given Volume equation looks like with Values.

Here is how the Lateral Surface Area of Cylindrical Shell given Volume equation looks like with Units.

Here is how the Lateral Surface Area of Cylindrical Shell given Volume equation looks like.

533.3333 = \frac{2 \cdot 800}{10^{2} - 7^{2}} \cdot (10 + 7)

533.3333m² = \frac{2 \cdot 800m³}{{10m}^{2} - {7m}^{2}} \cdot (10m + 7m)

533.3333 = \frac{2 \cdot 800}{10^{2} - 7^{2}} \cdot (10 + 7)

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 Lateral Surface Area of Cylindrical Shell given Volume

Lateral Surface Area of Cylindrical Shell given Volume Solution

Follow our step by step solution on how to calculate Lateral Surface Area of Cylindrical Shell given Volume?

FIRST Step Consider the formula

LSA = \frac{2 \cdot V}{{r Outer}^{2} - {r Inner}^{2}} \cdot (r Outer + r Inner)

Next Step Substitute values of Variables

∴

LSA = \frac{2 \cdot 800m³}{{10m}^{2} - {7m}^{2}} \cdot (10m + 7m)

Next Step Prepare to Evaluate

∴

LSA = \frac{2 \cdot 800}{10^{2} - 7^{2}} \cdot (10 + 7)

Next Step Evaluate

∴

LSA = 533.333333333333m²

LAST Step Rounding Answer

∴

LSA = 533.3333m²

Lateral Surface Area of Cylindrical Shell given Volume Formula Elements

Variables

Lateral Surface Area 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.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Cylindrical Shell

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

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

Other Formulas to find Lateral Surface Area of Cylindrical Shell

Go Lateral Surface Area of Cylindrical Shell

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

Go Lateral Surface Area of Cylindrical Shell given Volume and Inner Radius

LSA = 2 \cdot π \cdot h \cdot (r Inner + \sqrt{\frac{V}{π \cdot h} + {r Inner}^{2}})

Go Lateral Surface Area of Cylindrical Shell given Wall Thickness and Outer Radius

LSA = 2 \cdot π \cdot h \cdot ((2 \cdot r Outer) - t Wall)

Go Lateral Surface Area of Cylindrical Shell given Wall Thickness and Inner Radius

LSA = 2 \cdot π \cdot h \cdot (t Wall + (2 \cdot r Inner))

How to Evaluate Lateral Surface Area of Cylindrical Shell given Volume?

Lateral Surface Area of Cylindrical Shell given Volume evaluator uses Lateral Surface Area of Cylindrical Shell = (2*Volume of Cylindrical Shell)/(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell) to evaluate the Lateral Surface Area of Cylindrical Shell, Lateral Surface Area of Cylindrical Shell given Volume formula is defined as the total quantity of plane enclosed on all the lateral curved surfaces of the Cylindrical Shell, and calculated using the volume of the Cylindrical Shell. Lateral Surface Area of Cylindrical Shell is denoted by LSA symbol.

How to evaluate Lateral Surface Area of Cylindrical Shell given Volume using this online evaluator? To use this online evaluator for Lateral Surface Area 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.

FAQs on Lateral Surface Area of Cylindrical Shell given Volume

What is the formula to find Lateral Surface Area of Cylindrical Shell given Volume?

The formula of Lateral Surface Area of Cylindrical Shell given Volume is expressed as Lateral Surface Area of Cylindrical Shell = (2*Volume of Cylindrical Shell)/(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell). Here is an example- 533.3333 = (2*800)/(10^2-7^2)*(10+7).

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

With Volume of Cylindrical Shell (V), Outer Radius of Cylindrical Shell (r_Outer) & Inner Radius of Cylindrical Shell (r_Inner) we can find Lateral Surface Area of Cylindrical Shell given Volume using the formula - Lateral Surface Area of Cylindrical Shell = (2*Volume of Cylindrical Shell)/(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)*(Outer Radius of Cylindrical Shell+Inner Radius of Cylindrical Shell).

What are the other ways to Calculate Lateral Surface Area of Cylindrical Shell?

Here are the different ways to Calculate Lateral Surface Area of Cylindrical Shell-

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

Can the Lateral Surface Area of Cylindrical Shell given Volume be negative?

No, the Lateral Surface Area of Cylindrical Shell given Volume, measured in Area cannot be negative.

Which unit is used to measure Lateral Surface Area of Cylindrical Shell given Volume?

Lateral Surface Area of Cylindrical Shell given Volume is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Lateral Surface Area of Cylindrical Shell given Volume can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Lateral Surface Area of Cylindrical Shell given Volume Formula

​GoLateral Surface Area of Cylindrical Shell Formula

​GoLateral Surface Area of Cylindrical Shell given Volume and Inner Radius Formula

Lateral Surface Area of Cylindrical Shell given Volume Example

Lateral Surface Area of Cylindrical Shell given Volume Solution

Lateral Surface Area of Cylindrical Shell given Volume Formula Elements

Other Formulas to find Lateral Surface Area of Cylindrical Shell

How to Evaluate Lateral Surface Area of Cylindrical Shell given Volume?

FAQs on Lateral Surface Area of Cylindrical Shell given Volume

Variable Name

GoLateral Surface Area of Cylindrical Shell Formula

GoLateral Surface Area of Cylindrical Shell given Volume and Inner Radius Formula