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Surface to Volume Ratio of Diagonally Halved Cylinder given Volume and Height Formula

GoSurface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal Formula

GoSurface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height Formula

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SA:V of Diagonally Halved Cylinder is the numerical ratio of the total surface area of a Diagonally Halved Cylinder to the volume of the Diagonally Halved Cylinder. Check FAQs

AV = \frac{h + \sqrt{\frac{2 \cdot V}{π \cdot h}} + \frac{d Space}{2}}{\frac{1}{2} \cdot \sqrt{\frac{2 \cdot V}{π \cdot h}} \cdot h}

AV - SA:V of Diagonally Halved Cylinder?h - Height of Diagonally Halved Cylinder?V - Volume of Diagonally Halved Cylinder?d_Space - Space Diagonal of Diagonally Halved Cylinder?π - Archimedes' constant?

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

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

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

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

1.096 = \frac{8 + \sqrt{\frac{2 \cdot 200}{3.1416 \cdot 8}} + \frac{11}{2}}{\frac{1}{2} \cdot \sqrt{\frac{2 \cdot 200}{3.1416 \cdot 8}} \cdot 8}

1.096m⁻¹ = \frac{8m + \sqrt{\frac{2 \cdot 200m³}{3.1416 \cdot 8m}} + \frac{11m}{2}}{\frac{1}{2} \cdot \sqrt{\frac{2 \cdot 200m³}{3.1416 \cdot 8m}} \cdot 8m}

1.096 = \frac{8 + \sqrt{\frac{2 \cdot 200}{3.1416 \cdot 8}} + \frac{11}{2}}{\frac{1}{2} \cdot \sqrt{\frac{2 \cdot 200}{3.1416 \cdot 8}} \cdot 8}

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Surface to Volume Ratio of Diagonally Halved Cylinder given Volume and Height Solution

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

FIRST Step Consider the formula

AV = \frac{h + \sqrt{\frac{2 \cdot V}{π \cdot h}} + \frac{d Space}{2}}{\frac{1}{2} \cdot \sqrt{\frac{2 \cdot V}{π \cdot h}} \cdot h}

Next Step Substitute values of Variables

∴

AV = \frac{8m + \sqrt{\frac{2 \cdot 200m³}{π \cdot 8m}} + \frac{11m}{2}}{\frac{1}{2} \cdot \sqrt{\frac{2 \cdot 200m³}{π \cdot 8m}} \cdot 8m}

Next Step Substitute values of Constants

∴

AV = \frac{8m + \sqrt{\frac{2 \cdot 200m³}{3.1416 \cdot 8m}} + \frac{11m}{2}}{\frac{1}{2} \cdot \sqrt{\frac{2 \cdot 200m³}{3.1416 \cdot 8m}} \cdot 8m}

Next Step Prepare to Evaluate

∴

AV = \frac{8 + \sqrt{\frac{2 \cdot 200}{3.1416 \cdot 8}} + \frac{11}{2}}{\frac{1}{2} \cdot \sqrt{\frac{2 \cdot 200}{3.1416 \cdot 8}} \cdot 8}

Next Step Evaluate

∴

AV = 1.09598704268796m⁻¹

LAST Step Rounding Answer

∴

AV = 1.096m⁻¹

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

Variables

Constants

Functions

SA:V of Diagonally Halved Cylinder

SA:V of Diagonally Halved Cylinder is the numerical ratio of the total surface area of a Diagonally Halved Cylinder to the volume of the Diagonally Halved Cylinder.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Diagonally Halved Cylinder

Height of Diagonally Halved Cylinder

Height of Diagonally Halved Cylinder is the vertical distance from the base circular face to the top most point of the Diagonally Halved Cylinder.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Diagonally Halved Cylinder

Volume of Diagonally Halved Cylinder

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Diagonally Halved Cylinder

Space Diagonal of Diagonally Halved Cylinder

Space Diagonal of Diagonally Halved Cylinder is the length of the major axis or the longest chord of the upper elliptical face of the Diagonally Halved Cylinder.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Diagonally Halved 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 SA:V of Diagonally Halved Cylinder

Go Surface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal

AV = \frac{h + r + \frac{d Space}{2}}{\frac{1}{2} \cdot r \cdot h}

Go Surface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height

AV = \frac{h + \sqrt{\frac{{d Space}^{2} - h^{2}}{4}} + \frac{d Space}{2}}{\frac{1}{2} \cdot \sqrt{\frac{{d Space}^{2} - h^{2}}{4}} \cdot h}

Go Surface to Volume Ratio of Diagonally Halved Cylinder given Lateral Surface Area and Height

AV = \frac{h + \frac{LSA}{π \cdot h} + \frac{d Space}{2}}{\frac{1}{2} \cdot \frac{LSA}{π}}

Go Surface to Volume Ratio of Diagonally Halved Cylinder given Total Surface Area

AV = \frac{h + r + (\frac{TSA}{π \cdot r} - h - r)}{\frac{1}{2} \cdot r \cdot h}

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

Surface to Volume Ratio of Diagonally Halved Cylinder given Volume and Height evaluator uses SA:V of Diagonally Halved Cylinder = (Height of Diagonally Halved Cylinder+sqrt((2*Volume of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*sqrt((2*Volume of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))*Height of Diagonally Halved Cylinder) to evaluate the SA:V of Diagonally Halved Cylinder, Surface to Volume Ratio of Diagonally Halved Cylinder given Volume and Height formula is defined as the numerical ratio of the total surface area of a Diagonally Halved Cylinder to the volume of the Diagonally Halved Cylinder, and calculated using the volume and height of the Diagonally Halved Cylinder. SA:V of Diagonally Halved Cylinder is denoted by AV symbol.

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

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

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

The formula of Surface to Volume Ratio of Diagonally Halved Cylinder given Volume and Height is expressed as SA:V of Diagonally Halved Cylinder = (Height of Diagonally Halved Cylinder+sqrt((2*Volume of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*sqrt((2*Volume of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))*Height of Diagonally Halved Cylinder). Here is an example- 1.095987 = (8+sqrt((2*200)/(pi*8))+11/2)/(1/2*sqrt((2*200)/(pi*8))*8).

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

With Height of Diagonally Halved Cylinder (h), Volume of Diagonally Halved Cylinder (V) & Space Diagonal of Diagonally Halved Cylinder (d_Space) we can find Surface to Volume Ratio of Diagonally Halved Cylinder given Volume and Height using the formula - SA:V of Diagonally Halved Cylinder = (Height of Diagonally Halved Cylinder+sqrt((2*Volume of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*sqrt((2*Volume of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))*Height of Diagonally Halved Cylinder). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate SA:V of Diagonally Halved Cylinder?

Here are the different ways to Calculate SA:V of Diagonally Halved Cylinder-

SA:V of Diagonally Halved Cylinder=(Height of Diagonally Halved Cylinder+Radius of Diagonally Halved Cylinder+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*Radius of Diagonally Halved Cylinder*Height of Diagonally Halved Cylinder)
SA:V of Diagonally Halved Cylinder=(Height of Diagonally Halved Cylinder+sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)*Height of Diagonally Halved Cylinder)
SA:V of Diagonally Halved Cylinder=(Height of Diagonally Halved Cylinder+Lateral Surface Area of Diagonally Halved Cylinder/(pi*Height of Diagonally Halved Cylinder)+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*Lateral Surface Area of Diagonally Halved Cylinder/pi)

Can the Surface to Volume Ratio of Diagonally Halved Cylinder given Volume and Height be negative?

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

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

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

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Surface to Volume Ratio of Diagonally Halved Cylinder given Volume and Height Formula

​GoSurface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal Formula

​GoSurface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height Formula

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

Surface to Volume Ratio of Diagonally Halved Cylinder given Volume and Height Solution

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

Other Formulas to find SA:V of Diagonally Halved Cylinder

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

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

Variable Name

GoSurface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal Formula

GoSurface to Volume Ratio of Diagonally Halved Cylinder given Space Diagonal and Height Formula