FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Surface to Volume Ratio of Cut Cylinder given Volume Formula

GoSurface to Volume Ratio of Cut Cylinder given Heights Formula

GoSurface to Volume Ratio of Cut Cylinder Formula

Fx Copy

LaTeX Copy

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

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

R_A/V - Surface to Volume Ratio of Cut Cylinder?V - Volume of Cut Cylinder?h_Long - Long Height of Cut Cylinder?h_Short - Short Height of Cut Cylinder?b - Semi Minor Axis of Cut Cylinder?π - Archimedes' constant?

Surface to Volume Ratio of Cut Cylinder given Volume Example

With values

With units

Only example

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

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

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

0.5295 = \sqrt{\frac{2 \cdot 3.1416}{1300 \cdot (20 + 12)}} \cdot (\sqrt{\frac{2 \cdot 1300}{3.1416 \cdot (20 + 12)}} + 6 + 12 + 20)

0.5295m⁻¹ = \sqrt{\frac{2 \cdot 3.1416}{1300m³ \cdot (20m + 12m)}} \cdot (\sqrt{\frac{2 \cdot 1300m³}{3.1416 \cdot (20m + 12m)}} + 6m + 12m + 20m)

0.5295 = \sqrt{\frac{2 \cdot 3.1416}{1300 \cdot (20 + 12)}} \cdot (\sqrt{\frac{2 \cdot 1300}{3.1416 \cdot (20 + 12)}} + 6 + 12 + 20)

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Surface to Volume Ratio of Cut Cylinder given Volume

Surface to Volume Ratio of Cut Cylinder given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \sqrt{\frac{2 \cdot π}{1300m³ \cdot (20m + 12m)}} \cdot (\sqrt{\frac{2 \cdot 1300m³}{π \cdot (20m + 12m)}} + 6m + 12m + 20m)

Next Step Substitute values of Constants

∴

R A/V = \sqrt{\frac{2 \cdot 3.1416}{1300m³ \cdot (20m + 12m)}} \cdot (\sqrt{\frac{2 \cdot 1300m³}{3.1416 \cdot (20m + 12m)}} + 6m + 12m + 20m)

Next Step Prepare to Evaluate

∴

R A/V = \sqrt{\frac{2 \cdot 3.1416}{1300 \cdot (20 + 12)}} \cdot (\sqrt{\frac{2 \cdot 1300}{3.1416 \cdot (20 + 12)}} + 6 + 12 + 20)

Next Step Evaluate

∴

R A/V = 0.52951073697629m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.5295m⁻¹

Surface to Volume Ratio of Cut Cylinder given Volume Formula Elements

Variables

Constants

Functions

Surface to Volume Ratio of Cut Cylinder

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

Volume of Cut Cylinder

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Cut Cylinder

Long Height of Cut Cylinder

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

Symbol: h_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Height of Cut Cylinder

Short Height of Cut Cylinder

Short Height of Cut Cylinder is the shortest vertical distance from the bottom circular face to the top elliptical face of the Cut Cylinder.

Symbol: h_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Height of Cut Cylinder

Semi Minor Axis of Cut Cylinder

Semi Minor Axis of Cut Cylinder is the half of the length of the longest chord which is perpendicular to the line joining the foci of the elliptic face of the Cut Cylinder.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Semi Minor Axis of Cut 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 Cut Cylinder

Go Surface to Volume Ratio of Cut Cylinder given Heights

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

Go Surface to Volume Ratio of Cut Cylinder

R A/V = \frac{TSA}{V}

Go Surface to Volume Ratio of Cut Cylinder given Lateral Surface Area

R A/V = \frac{2 \cdot TSA}{r \cdot LSA}

How to Evaluate Surface to Volume Ratio of Cut Cylinder given Volume?

Surface to Volume Ratio of Cut Cylinder given Volume evaluator uses Surface to Volume Ratio of Cut Cylinder = sqrt((2*pi)/(Volume of Cut Cylinder*(Long Height of Cut Cylinder+Short Height of Cut Cylinder)))*(sqrt((2*Volume of Cut Cylinder)/(pi*(Long Height of Cut Cylinder+Short Height of Cut Cylinder)))+Semi Minor Axis of Cut Cylinder+Short Height of Cut Cylinder+Long Height of Cut Cylinder) to evaluate the Surface to Volume Ratio of Cut Cylinder, Surface to Volume Ratio of Cut Cylinder given Volume formula is defined as the numerical ratio of the total surface area of Cut Cylinder to the volume of the Cut Cylinder, and calculated using volume of the Cut Cylinder. Surface to Volume Ratio of Cut Cylinder is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Cut Cylinder given Volume using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Cut Cylinder given Volume, enter Volume of Cut Cylinder (V), Long Height of Cut Cylinder (h_Long), Short Height of Cut Cylinder (h_Short) & Semi Minor Axis of Cut Cylinder (b) and hit the calculate button.

FAQs on Surface to Volume Ratio of Cut Cylinder given Volume

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

The formula of Surface to Volume Ratio of Cut Cylinder given Volume is expressed as Surface to Volume Ratio of Cut Cylinder = sqrt((2*pi)/(Volume of Cut Cylinder*(Long Height of Cut Cylinder+Short Height of Cut Cylinder)))*(sqrt((2*Volume of Cut Cylinder)/(pi*(Long Height of Cut Cylinder+Short Height of Cut Cylinder)))+Semi Minor Axis of Cut Cylinder+Short Height of Cut Cylinder+Long Height of Cut Cylinder). Here is an example- 0.529511 = sqrt((2*pi)/(1300*(20+12)))*(sqrt((2*1300)/(pi*(20+12)))+6+12+20).

How to calculate Surface to Volume Ratio of Cut Cylinder given Volume?

With Volume of Cut Cylinder (V), Long Height of Cut Cylinder (h_Long), Short Height of Cut Cylinder (h_Short) & Semi Minor Axis of Cut Cylinder (b) we can find Surface to Volume Ratio of Cut Cylinder given Volume using the formula - Surface to Volume Ratio of Cut Cylinder = sqrt((2*pi)/(Volume of Cut Cylinder*(Long Height of Cut Cylinder+Short Height of Cut Cylinder)))*(sqrt((2*Volume of Cut Cylinder)/(pi*(Long Height of Cut Cylinder+Short Height of Cut Cylinder)))+Semi Minor Axis of Cut Cylinder+Short Height of Cut Cylinder+Long Height of Cut 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 Cut Cylinder?

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

Surface to Volume Ratio of Cut Cylinder=(2*(Radius of Cut Cylinder+Semi Minor Axis of Cut Cylinder+Short Height of Cut Cylinder+Long Height of Cut Cylinder))/(Radius of Cut Cylinder*(Short Height of Cut Cylinder+Long Height of Cut Cylinder))
Surface to Volume Ratio of Cut Cylinder=Total Surface Area of Cut Cylinder/Volume of Cut Cylinder
Surface to Volume Ratio of Cut Cylinder=(2*Total Surface Area of Cut Cylinder)/(Radius of Cut Cylinder*Lateral Surface Area of Cut Cylinder)

Can the Surface to Volume Ratio of Cut Cylinder given Volume be negative?

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

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

Surface to Volume Ratio of Cut Cylinder given Volume 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 Cut Cylinder given Volume can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Surface to Volume Ratio of Cut Cylinder given Volume Formula

​GoSurface to Volume Ratio of Cut Cylinder given Heights Formula

​GoSurface to Volume Ratio of Cut Cylinder Formula

Surface to Volume Ratio of Cut Cylinder given Volume Example

Surface to Volume Ratio of Cut Cylinder given Volume Solution

Surface to Volume Ratio of Cut Cylinder given Volume Formula Elements

Other Formulas to find Surface to Volume Ratio of Cut Cylinder

How to Evaluate Surface to Volume Ratio of Cut Cylinder given Volume?

FAQs on Surface to Volume Ratio of Cut Cylinder given Volume

Variable Name

GoSurface to Volume Ratio of Cut Cylinder given Heights Formula

GoSurface to Volume Ratio of Cut Cylinder Formula