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Volume of Cylinder given Lateral Surface Area and Height Formula

GoVolume of Cylinder Formula

GoVolume of Cylinder given Diagonal and Radius Formula

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

V = \frac{{LSA}^{2}}{4 \cdot π \cdot h}

V - Volume of Cylinder?LSA - Lateral Surface Area of Cylinder?h - Height of Cylinder?π - Archimedes' constant?

Volume of Cylinder given Lateral Surface Area and Height Example

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Here is how the Volume of Cylinder given Lateral Surface Area and Height equation looks like with Values.

Here is how the Volume of Cylinder given Lateral Surface Area and Height equation looks like with Units.

Here is how the Volume of Cylinder given Lateral Surface Area and Height equation looks like.

957.5822 = \frac{380^{2}}{4 \cdot 3.1416 \cdot 12}

957.5822m³ = \frac{{380m²}^{2}}{4 \cdot 3.1416 \cdot 12m}

957.5822 = \frac{380^{2}}{4 \cdot 3.1416 \cdot 12}

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Volume of Cylinder given Lateral Surface Area and Height Solution

Follow our step by step solution on how to calculate Volume of Cylinder given Lateral Surface Area and Height?

FIRST Step Consider the formula

V = \frac{{LSA}^{2}}{4 \cdot π \cdot h}

Next Step Substitute values of Variables

∴

V = \frac{{380m²}^{2}}{4 \cdot π \cdot 12m}

Next Step Substitute values of Constants

∴

V = \frac{{380m²}^{2}}{4 \cdot 3.1416 \cdot 12m}

Next Step Prepare to Evaluate

∴

V = \frac{380^{2}}{4 \cdot 3.1416 \cdot 12}

Next Step Evaluate

∴

V = 957.582240936237m³

LAST Step Rounding Answer

∴

V = 957.5822m³

Volume of Cylinder given Lateral Surface Area and Height Formula Elements

Variables

Constants

Volume of Cylinder

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Cylinder

Lateral Surface Area of Cylinder

Lateral Surface Area of Cylinder is the total quantity of plane enclosed on the lateral curved surface (that is, the top and bottom faces are excluded) of the Cylinder.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Cylinder

Height of Cylinder

Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Cylinder

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 Cylinder

Go Volume of Cylinder

V = π \cdot r^{2} \cdot h

Go Volume of Cylinder given Diagonal and Radius

V = π \cdot r^{2} \cdot \sqrt{d^{2} - {(2 \cdot r)}^{2}}

Go Volume of Cylinder given Total Surface Area and Height

V = \frac{{(TSA - 2 \cdot A Base)}^{2}}{4 \cdot π \cdot h}

Go Volume of Cylinder given Base Area

V = A Base \cdot h

How to Evaluate Volume of Cylinder given Lateral Surface Area and Height?

Volume of Cylinder given Lateral Surface Area and Height evaluator uses Volume of Cylinder = Lateral Surface Area of Cylinder^2/(4*pi*Height of Cylinder) to evaluate the Volume of Cylinder, The Volume of Cylinder given Lateral Surface Area and Height formula is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cylinder, and is calculated using the lateral surface area and height of the Cylinder. Volume of Cylinder is denoted by V symbol.

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

FAQs on Volume of Cylinder given Lateral Surface Area and Height

What is the formula to find Volume of Cylinder given Lateral Surface Area and Height?

The formula of Volume of Cylinder given Lateral Surface Area and Height is expressed as Volume of Cylinder = Lateral Surface Area of Cylinder^2/(4*pi*Height of Cylinder). Here is an example- 957.5822 = 380^2/(4*pi*12).

How to calculate Volume of Cylinder given Lateral Surface Area and Height?

With Lateral Surface Area of Cylinder (LSA) & Height of Cylinder (h) we can find Volume of Cylinder given Lateral Surface Area and Height using the formula - Volume of Cylinder = Lateral Surface Area of Cylinder^2/(4*pi*Height of Cylinder). This formula also uses Archimedes' constant .

What are the other ways to Calculate Volume of Cylinder?

Here are the different ways to Calculate Volume of Cylinder-

Volume of Cylinder=pi*Radius of Cylinder^2*Height of Cylinder
Volume of Cylinder=pi*Radius of Cylinder^2*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)
Volume of Cylinder=(Total Surface Area of Cylinder-2*Base Area of Cylinder)^2/(4*pi*Height of Cylinder)

Can the Volume of Cylinder given Lateral Surface Area and Height be negative?

No, the Volume of Cylinder given Lateral Surface Area and Height, measured in Volume cannot be negative.

Which unit is used to measure Volume of Cylinder given Lateral Surface Area and Height?

Volume of Cylinder given Lateral Surface Area and Height 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 Cylinder given Lateral Surface Area and Height can be measured.

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Volume of Cylinder given Lateral Surface Area and Height Formula

​GoVolume of Cylinder Formula

​GoVolume of Cylinder given Diagonal and Radius Formula

Volume of Cylinder given Lateral Surface Area and Height Example

Volume of Cylinder given Lateral Surface Area and Height Solution

Volume of Cylinder given Lateral Surface Area and Height Formula Elements

Other Formulas to find Volume of Cylinder

How to Evaluate Volume of Cylinder given Lateral Surface Area and Height?

FAQs on Volume of Cylinder given Lateral Surface Area and Height

Variable Name

GoVolume of Cylinder Formula

GoVolume of Cylinder given Diagonal and Radius Formula