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Volume of Cylindrical Shell given Lateral Surface Area Formula

GoVolume of Cylindrical Shell Formula

GoVolume of Cylindrical Shell given Wall Thickness and Inner Radius Formula

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

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

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

Volume of Cylindrical Shell given Lateral Surface Area Example

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

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

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

795 = \frac{530}{2 \cdot (10 + 7)} \cdot (10^{2} - 7^{2})

795m³ = \frac{530m²}{2 \cdot (10m + 7m)} \cdot ({10m}^{2} - {7m}^{2})

795 = \frac{530}{2 \cdot (10 + 7)} \cdot (10^{2} - 7^{2})

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Volume of Cylindrical Shell given Lateral Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{530m²}{2 \cdot (10m + 7m)} \cdot ({10m}^{2} - {7m}^{2})

Next Step Prepare to Evaluate

∴

V = \frac{530}{2 \cdot (10 + 7)} \cdot (10^{2} - 7^{2})

LAST Step Evaluate

∴

V = 795m³

Volume of Cylindrical Shell given Lateral Surface Area Formula Elements

Variables

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

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

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 Volume of Cylindrical Shell

Go Volume of Cylindrical Shell

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

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 Lateral Surface Area and Inner Radius

V = π \cdot h \cdot ({(\frac{LSA}{2 \cdot π \cdot h} - 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})

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

Volume of Cylindrical Shell given Lateral Surface Area evaluator uses 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) to evaluate the Volume of Cylindrical Shell, Volume of Cylindrical Shell given Lateral Surface Area formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Cylindrical Shell, and calculated using the lateral surface area of the Cylindrical Shell. Volume of Cylindrical Shell is denoted by V symbol.

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

FAQs on Volume of Cylindrical Shell given Lateral Surface Area

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

The formula of Volume of Cylindrical Shell given Lateral Surface Area is expressed as 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). Here is an example- 795 = 530/(2*(10+7))*(10^2-7^2).

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

With Lateral Surface Area of Cylindrical Shell (LSA), Outer Radius of Cylindrical Shell (r_Outer) & Inner Radius of Cylindrical Shell (r_Inner) we can find Volume of Cylindrical Shell given Lateral Surface Area using the formula - 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).

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*(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*((Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Inner Radius of Cylindrical Shell)^2-Inner Radius of Cylindrical Shell^2)

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

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

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

Volume of Cylindrical Shell given Lateral Surface Area 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 given Lateral Surface Area can be measured.

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Volume of Cylindrical Shell given Lateral Surface Area Formula

​GoVolume of Cylindrical Shell Formula

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

Volume of Cylindrical Shell given Lateral Surface Area Example

Volume of Cylindrical Shell given Lateral Surface Area Solution

Volume of Cylindrical Shell given Lateral Surface Area Formula Elements

Other Formulas to find Volume of Cylindrical Shell

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

FAQs on Volume of Cylindrical Shell given Lateral Surface Area

Variable Name

GoVolume of Cylindrical Shell Formula

GoVolume of Cylindrical Shell given Wall Thickness and Inner Radius Formula