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

GoSurface to Volume Ratio of Cylinder Formula

GoSurface to Volume Ratio of Cylinder given Base Area Formula

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

R A/V = \frac{LSA + 2 \cdot π \cdot r^{2}}{\frac{LSA \cdot r}{2}}

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

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

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

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

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

0.5653 = \frac{380 + 2 \cdot 3.1416 \cdot 5^{2}}{\frac{380 \cdot 5}{2}}

0.5653m⁻¹ = \frac{380m² + 2 \cdot 3.1416 \cdot {5m}^{2}}{\frac{380m² \cdot 5m}{2}}

0.5653 = \frac{380 + 2 \cdot 3.1416 \cdot 5^{2}}{\frac{380 \cdot 5}{2}}

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

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

FIRST Step Consider the formula

R A/V = \frac{LSA + 2 \cdot π \cdot r^{2}}{\frac{LSA \cdot r}{2}}

Next Step Substitute values of Variables

∴

R A/V = \frac{380m² + 2 \cdot π \cdot {5m}^{2}}{\frac{380m² \cdot 5m}{2}}

Next Step Substitute values of Constants

∴

R A/V = \frac{380m² + 2 \cdot 3.1416 \cdot {5m}^{2}}{\frac{380m² \cdot 5m}{2}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{380 + 2 \cdot 3.1416 \cdot 5^{2}}{\frac{380 \cdot 5}{2}}

Next Step Evaluate

∴

R A/V = 0.565346981767884m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.5653m⁻¹

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

Variables

Constants

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

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

Radius of Cylinder

Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius 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 Surface to Volume Ratio of Cylinder

Go Surface to Volume Ratio of Cylinder

R A/V = \frac{2 \cdot (h + r)}{r \cdot h}

Go Surface to Volume Ratio of Cylinder given Base Area

R A/V = \frac{2 \cdot (\sqrt{π \cdot A Base} \cdot h + A Base)}{A Base \cdot h}

Go Surface to Volume Ratio of Cylinder given Diagonal and Height

R A/V = \frac{\sqrt{d^{2} - h^{2}} \cdot (h + \frac{\sqrt{d^{2} - h^{2}}}{2})}{\frac{(d^{2} - h^{2}) \cdot h}{4}}

Go Surface to Volume Ratio of Cylinder given Diagonal and Radius

R A/V = \frac{2 \cdot (\sqrt{d^{2} - {(2 \cdot r)}^{2}} + r)}{r \cdot \sqrt{d^{2} - {(2 \cdot r)}^{2}}}

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

Surface to Volume Ratio of Cylinder given Lateral Surface Area and Radius evaluator uses Surface to Volume Ratio of Cylinder = (Lateral Surface Area of Cylinder+2*pi*Radius of Cylinder^2)/((Lateral Surface Area of Cylinder*Radius of Cylinder)/2) to evaluate the Surface to Volume Ratio of Cylinder, The Surface to Volume Ratio of Cylinder given Lateral Surface Area and Radius formula is defined as the numerical ratio of the total surface area of a Cylinder to the volume of the Cylinder and is calculated using the lateral surface area and radius of the Cylinder. Surface to Volume Ratio of Cylinder is denoted by R_A/V symbol.

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

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

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

The formula of Surface to Volume Ratio of Cylinder given Lateral Surface Area and Radius is expressed as Surface to Volume Ratio of Cylinder = (Lateral Surface Area of Cylinder+2*pi*Radius of Cylinder^2)/((Lateral Surface Area of Cylinder*Radius of Cylinder)/2). Here is an example- 0.565347 = (380+2*pi*5^2)/((380*5)/2).

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

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

What are the other ways to Calculate Surface to Volume Ratio of Cylinder?

Here are the different ways to Calculate Surface to Volume Ratio of Cylinder-

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

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

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

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

Surface to Volume Ratio of Cylinder given Lateral Surface Area and Radius is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Cylinder given Lateral Surface Area and Radius can be measured.

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

​GoSurface to Volume Ratio of Cylinder Formula

​GoSurface to Volume Ratio of Cylinder given Base Area Formula

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

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

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

Other Formulas to find Surface to Volume Ratio of Cylinder

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

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

Variable Name

GoSurface to Volume Ratio of Cylinder Formula

GoSurface to Volume Ratio of Cylinder given Base Area Formula