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Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius 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 = π \cdot h \cdot ({(\frac{LSA}{2 \cdot π \cdot h} - r Inner)}^{2} - {r Inner}^{2})

V - Volume of Cylindrical Shell?h - Height of Cylindrical Shell?LSA - Lateral Surface Area of Cylindrical Shell?r_Inner - Inner Radius of Cylindrical Shell?π - Archimedes' constant?

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

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

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

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

760.6624 = 3.1416 \cdot 5 \cdot ({(\frac{530}{2 \cdot 3.1416 \cdot 5} - 7)}^{2} - 7^{2})

760.6624m³ = 3.1416 \cdot 5m \cdot ({(\frac{530m²}{2 \cdot 3.1416 \cdot 5m} - 7m)}^{2} - {7m}^{2})

760.6624 = 3.1416 \cdot 5 \cdot ({(\frac{530}{2 \cdot 3.1416 \cdot 5} - 7)}^{2} - 7^{2})

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3D Geometry » fx Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = π \cdot 5m \cdot ({(\frac{530m²}{2 \cdot π \cdot 5m} - 7m)}^{2} - {7m}^{2})

Next Step Substitute values of Constants

∴

V = 3.1416 \cdot 5m \cdot ({(\frac{530m²}{2 \cdot 3.1416 \cdot 5m} - 7m)}^{2} - {7m}^{2})

Next Step Prepare to Evaluate

∴

V = 3.1416 \cdot 5 \cdot ({(\frac{530}{2 \cdot 3.1416 \cdot 5} - 7)}^{2} - 7^{2})

Next Step Evaluate

∴

V = 760.66235145134m³

LAST Step Rounding Answer

∴

V = 760.6624m³

Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius 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

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

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

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 Wall Thickness and Outer Radius

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

Go Volume of Cylindrical Shell given Lateral Surface Area

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

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

Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius evaluator uses 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) to evaluate the Volume of Cylindrical Shell, Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius 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 and inner radius of the Cylindrical Shell. Volume of Cylindrical Shell is denoted by V symbol.

How to evaluate Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius using this online evaluator? To use this online evaluator for Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius, enter Height of Cylindrical Shell (h), Lateral Surface Area of Cylindrical Shell (LSA) & Inner Radius of Cylindrical Shell (r_Inner) and hit the calculate button.

FAQs on Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius

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

The formula of Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius is expressed as 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). Here is an example- 760.6624 = pi*5*((530/(2*pi*5)-7)^2-7^2).

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

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

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

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

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

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

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

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

Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius Formula Elements

Other Formulas to find Volume of Cylindrical Shell

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

FAQs on Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius

Variable Name

GoVolume of Cylindrical Shell Formula

GoVolume of Cylindrical Shell given Wall Thickness and Inner Radius Formula