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Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height Formula

GoSurface to Volume Ratio of Half Cylinder given Curved Surface Area and Height Formula

GoSurface to Volume Ratio of Half Cylinder given Volume and Height Formula

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Surface to Volume Ratio of Half Cylinder is the fraction of the surface area to the volume of the Half Cylinder. Check FAQs

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

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

Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height Example

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

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

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

0.5304 = 2 \cdot \frac{(3.1416 \cdot 12) + (3.1416 \cdot \sqrt{15^{2} - 12^{2}}) + (2 \cdot 12)}{3.1416 \cdot 12 \cdot \sqrt{15^{2} - 12^{2}}}

0.5304m⁻¹ = 2 \cdot \frac{(3.1416 \cdot 12m) + (3.1416 \cdot \sqrt{{15m}^{2} - {12m}^{2}}) + (2 \cdot 12m)}{3.1416 \cdot 12m \cdot \sqrt{{15m}^{2} - {12m}^{2}}}

0.5304 = 2 \cdot \frac{(3.1416 \cdot 12) + (3.1416 \cdot \sqrt{15^{2} - 12^{2}}) + (2 \cdot 12)}{3.1416 \cdot 12 \cdot \sqrt{15^{2} - 12^{2}}}

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Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = 2 \cdot \frac{(π \cdot 12m) + (π \cdot \sqrt{{15m}^{2} - {12m}^{2}}) + (2 \cdot 12m)}{π \cdot 12m \cdot \sqrt{{15m}^{2} - {12m}^{2}}}

Next Step Substitute values of Constants

∴

R A/V = 2 \cdot \frac{(3.1416 \cdot 12m) + (3.1416 \cdot \sqrt{{15m}^{2} - {12m}^{2}}) + (2 \cdot 12m)}{3.1416 \cdot 12m \cdot \sqrt{{15m}^{2} - {12m}^{2}}}

Next Step Prepare to Evaluate

∴

R A/V = 2 \cdot \frac{(3.1416 \cdot 12) + (3.1416 \cdot \sqrt{15^{2} - 12^{2}}) + (2 \cdot 12)}{3.1416 \cdot 12 \cdot \sqrt{15^{2} - 12^{2}}}

Next Step Evaluate

∴

R A/V = 0.530359949415018m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.5304m⁻¹

Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height Formula Elements

Variables

Constants

Functions

Surface to Volume Ratio of Half Cylinder

Surface to Volume Ratio of Half Cylinder is the fraction of the surface area to the volume of the Half 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 Half Cylinder

Height of Half Cylinder

Height of Half Cylinder is the perpendicular distance between the top and bottom faces of Half Cylinder.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Half Cylinder

Space Diagonal of Half Cylinder

Space Diagonal of Half Cylinder is a line connecting two vertices that are not on the same face of Half Cylinder.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Half 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 Half Cylinder

Go Surface to Volume Ratio of Half Cylinder given Curved Surface Area and Height

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

Go Surface to Volume Ratio of Half Cylinder given Volume and Height

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

Go Surface to Volume Ratio of Half Cylinder given Space Diagonal and Radius

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

Go Surface to Volume Ratio of Half Cylinder given Curved Surface Area and Radius

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

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

Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height evaluator uses Surface to Volume Ratio of Half Cylinder = 2*((pi*Height of Half Cylinder)+(pi*sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2))+(2*Height of Half Cylinder))/(pi*Height of Half Cylinder*sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2)) to evaluate the Surface to Volume Ratio of Half Cylinder, Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height formula is defined as the fraction of the surface area to the volume of the Half Cylinder, calculated using its space diagonal and height. Surface to Volume Ratio of Half Cylinder is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height, enter Height of Half Cylinder (h) & Space Diagonal of Half Cylinder (d_Space) and hit the calculate button.

FAQs on Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height

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

The formula of Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height is expressed as Surface to Volume Ratio of Half Cylinder = 2*((pi*Height of Half Cylinder)+(pi*sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2))+(2*Height of Half Cylinder))/(pi*Height of Half Cylinder*sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2)). Here is an example- 0.53036 = 2*((pi*12)+(pi*sqrt(15^2-12^2))+(2*12))/(pi*12*sqrt(15^2-12^2)).

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

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

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

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

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

Can the Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height be negative?

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

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

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

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Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height Formula

​GoSurface to Volume Ratio of Half Cylinder given Curved Surface Area and Height Formula

​GoSurface to Volume Ratio of Half Cylinder given Volume and Height Formula

Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height Example

Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height Solution

Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height Formula Elements

Other Formulas to find Surface to Volume Ratio of Half Cylinder

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

FAQs on Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height

Variable Name

GoSurface to Volume Ratio of Half Cylinder given Curved Surface Area and Height Formula

GoSurface to Volume Ratio of Half Cylinder given Volume and Height Formula