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Lateral Surface Area of Cylinder given Surface to Volume Ratio and Height Formula

GoLateral Surface Area of Cylinder Formula

GoLateral Surface Area of Cylinder given Total Surface Area and Base Area Formula

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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. Check FAQs

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

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

Lateral Surface Area of Cylinder given Surface to Volume Ratio and Height Example

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

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

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

347.9918 = 2 \cdot 3.1416 \cdot 12 \cdot \frac{2 \cdot 12}{(12 \cdot 0.6) - 2}

347.9918m² = 2 \cdot 3.1416 \cdot 12m \cdot \frac{2 \cdot 12m}{(12m \cdot 0.6m⁻¹) - 2}

347.9918 = 2 \cdot 3.1416 \cdot 12 \cdot \frac{2 \cdot 12}{(12 \cdot 0.6) - 2}

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Lateral Surface Area of Cylinder given Surface to Volume Ratio and Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA = 2 \cdot π \cdot 12m \cdot \frac{2 \cdot 12m}{(12m \cdot 0.6m⁻¹) - 2}

Next Step Substitute values of Constants

∴

LSA = 2 \cdot 3.1416 \cdot 12m \cdot \frac{2 \cdot 12m}{(12m \cdot 0.6m⁻¹) - 2}

Next Step Prepare to Evaluate

∴

LSA = 2 \cdot 3.1416 \cdot 12 \cdot \frac{2 \cdot 12}{(12 \cdot 0.6) - 2}

Next Step Evaluate

∴

LSA = 347.991801628408m²

LAST Step Rounding Answer

∴

LSA = 347.9918m²

Lateral Surface Area of Cylinder given Surface to Volume Ratio and Height Formula Elements

Variables

Constants

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

Surface to Volume Ratio of Cylinder

Surface to Volume Ratio of Cylinder is the numerical ratio of the total surface area of a Cylinder to the volume of the Cylinder.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Lateral Surface Area of Cylinder

Go Lateral Surface Area of Cylinder

LSA = 2 \cdot π \cdot r \cdot h

Go Lateral Surface Area of Cylinder given Total Surface Area and Base Area

LSA = TSA - (2 \cdot A Base)

Go Lateral Surface Area of Cylinder given Total Surface Area and Radius

LSA = 2 \cdot π \cdot r \cdot (\frac{TSA}{2 \cdot π \cdot r} - r)

Go Lateral Surface Area of Cylinder given Diagonal and Radius

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

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

Lateral Surface Area of Cylinder given Surface to Volume Ratio and Height evaluator uses Lateral Surface Area of Cylinder = 2*pi*Height of Cylinder*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2) to evaluate the Lateral Surface Area of Cylinder, The Lateral Surface Area of Cylinder given Surface to Volume Ratio and Height formula is defined as the total quantity of plane enclosed on the lateral curved surface (that is, top and bottom faces are excluded) of the Cylinder and is calculated using the surface to volume ratio and height of the Cylinder. Lateral Surface Area of Cylinder is denoted by LSA symbol.

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

FAQs on Lateral Surface Area of Cylinder given Surface to Volume Ratio and Height

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

The formula of Lateral Surface Area of Cylinder given Surface to Volume Ratio and Height is expressed as Lateral Surface Area of Cylinder = 2*pi*Height of Cylinder*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2). Here is an example- 347.9918 = 2*pi*12*(2*12)/((12*0.6)-2).

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

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

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

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

Lateral Surface Area of Cylinder=2*pi*Radius of Cylinder*Height of Cylinder
Lateral Surface Area of Cylinder=Total Surface Area of Cylinder-(2*Base Area of Cylinder)
Lateral Surface Area of Cylinder=2*pi*Radius of Cylinder*(Total Surface Area of Cylinder/(2*pi*Radius of Cylinder)-Radius of Cylinder)

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

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

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

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

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Lateral Surface Area of Cylinder given Surface to Volume Ratio and Height Formula

​GoLateral Surface Area of Cylinder Formula

​GoLateral Surface Area of Cylinder given Total Surface Area and Base Area Formula

Lateral Surface Area of Cylinder given Surface to Volume Ratio and Height Example

Lateral Surface Area of Cylinder given Surface to Volume Ratio and Height Solution

Lateral Surface Area of Cylinder given Surface to Volume Ratio and Height Formula Elements

Other Formulas to find Lateral Surface Area of Cylinder

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

FAQs on Lateral Surface Area of Cylinder given Surface to Volume Ratio and Height

Variable Name

GoLateral Surface Area of Cylinder Formula

GoLateral Surface Area of Cylinder given Total Surface Area and Base Area Formula