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Surface to Volume Ratio of Cylinder given Volume and Height 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{2 \cdot π \cdot \sqrt{\frac{V}{π \cdot h}} \cdot (h + \sqrt{\frac{V}{π \cdot h}})}{V}

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

Surface to Volume Ratio of Cylinder given Volume and Height Example

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

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

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

0.5672 = \frac{2 \cdot 3.1416 \cdot \sqrt{\frac{940}{3.1416 \cdot 12}} \cdot (12 + \sqrt{\frac{940}{3.1416 \cdot 12}})}{940}

0.5672m⁻¹ = \frac{2 \cdot 3.1416 \cdot \sqrt{\frac{940m³}{3.1416 \cdot 12m}} \cdot (12m + \sqrt{\frac{940m³}{3.1416 \cdot 12m}})}{940m³}

0.5672 = \frac{2 \cdot 3.1416 \cdot \sqrt{\frac{940}{3.1416 \cdot 12}} \cdot (12 + \sqrt{\frac{940}{3.1416 \cdot 12}})}{940}

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Surface to Volume Ratio of Cylinder given Volume and Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{2 \cdot π \cdot \sqrt{\frac{940m³}{π \cdot 12m}} \cdot (12m + \sqrt{\frac{940m³}{π \cdot 12m}})}{940m³}

Next Step Substitute values of Constants

∴

R A/V = \frac{2 \cdot 3.1416 \cdot \sqrt{\frac{940m³}{3.1416 \cdot 12m}} \cdot (12m + \sqrt{\frac{940m³}{3.1416 \cdot 12m}})}{940m³}

Next Step Prepare to Evaluate

∴

R A/V = \frac{2 \cdot 3.1416 \cdot \sqrt{\frac{940}{3.1416 \cdot 12}} \cdot (12 + \sqrt{\frac{940}{3.1416 \cdot 12}})}{940}

Next Step Evaluate

∴

R A/V = 0.56719351036598m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.5672m⁻¹

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

Variables

Constants

Functions

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 Volume and Height?

Surface to Volume Ratio of Cylinder given Volume and Height evaluator uses Surface to Volume Ratio of Cylinder = (2*pi*sqrt(Volume of Cylinder/(pi*Height of Cylinder))*(Height of Cylinder+sqrt(Volume of Cylinder/(pi*Height of Cylinder))))/Volume of Cylinder to evaluate the Surface to Volume Ratio of Cylinder, The Surface to Volume Ratio of Cylinder given Volume and Height 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 volume and height 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 Volume and Height using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Cylinder given Volume and Height, enter Volume of Cylinder (V) & Height of Cylinder (h) and hit the calculate button.

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

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

The formula of Surface to Volume Ratio of Cylinder given Volume and Height is expressed as Surface to Volume Ratio of Cylinder = (2*pi*sqrt(Volume of Cylinder/(pi*Height of Cylinder))*(Height of Cylinder+sqrt(Volume of Cylinder/(pi*Height of Cylinder))))/Volume of Cylinder. Here is an example- 0.567194 = (2*pi*sqrt(940/(pi*12))*(12+sqrt(940/(pi*12))))/940.

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

With Volume of Cylinder (V) & Height of Cylinder (h) we can find Surface to Volume Ratio of Cylinder given Volume and Height using the formula - Surface to Volume Ratio of Cylinder = (2*pi*sqrt(Volume of Cylinder/(pi*Height of Cylinder))*(Height of Cylinder+sqrt(Volume of Cylinder/(pi*Height of Cylinder))))/Volume of Cylinder. This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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 Volume and Height be negative?

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

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

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

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

Surface to Volume Ratio of Cylinder given Volume and Height Solution

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

Other Formulas to find Surface to Volume Ratio of Cylinder

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

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

Variable Name

GoSurface to Volume Ratio of Cylinder Formula

GoSurface to Volume Ratio of Cylinder given Base Area Formula