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Surface to Volume Ratio of Diagonally Halved Cylinder given Total Surface Area and Radius 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{(\frac{TSA}{π \cdot r} - r - \frac{d Space}{2}) + r + \frac{d Space}{2}}{\frac{1}{2} \cdot r \cdot (\frac{TSA}{π \cdot r} - r - \frac{d Space}{2})}

AV - SA:V of Diagonally Halved Cylinder?TSA - Total Surface Area of Diagonally Halved Cylinder?r - Radius of Diagonally Halved Cylinder?d_Space - Space Diagonal of Diagonally Halved Cylinder?π - Archimedes' constant?

Surface to Volume Ratio of Diagonally Halved Cylinder given Total Surface Area and Radius Example

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

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

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

1.0932 = \frac{(\frac{220}{3.1416 \cdot 4} - 4 - \frac{11}{2}) + 4 + \frac{11}{2}}{\frac{1}{2} \cdot 4 \cdot (\frac{220}{3.1416 \cdot 4} - 4 - \frac{11}{2})}

1.0932m⁻¹ = \frac{(\frac{220m²}{3.1416 \cdot 4m} - 4m - \frac{11m}{2}) + 4m + \frac{11m}{2}}{\frac{1}{2} \cdot 4m \cdot (\frac{220m²}{3.1416 \cdot 4m} - 4m - \frac{11m}{2})}

1.0932 = \frac{(\frac{220}{3.1416 \cdot 4} - 4 - \frac{11}{2}) + 4 + \frac{11}{2}}{\frac{1}{2} \cdot 4 \cdot (\frac{220}{3.1416 \cdot 4} - 4 - \frac{11}{2})}

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Surface to Volume Ratio of Diagonally Halved Cylinder given Total Surface Area and Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

AV = \frac{(\frac{220m²}{π \cdot 4m} - 4m - \frac{11m}{2}) + 4m + \frac{11m}{2}}{\frac{1}{2} \cdot 4m \cdot (\frac{220m²}{π \cdot 4m} - 4m - \frac{11m}{2})}

Next Step Substitute values of Constants

∴

AV = \frac{(\frac{220m²}{3.1416 \cdot 4m} - 4m - \frac{11m}{2}) + 4m + \frac{11m}{2}}{\frac{1}{2} \cdot 4m \cdot (\frac{220m²}{3.1416 \cdot 4m} - 4m - \frac{11m}{2})}

Next Step Prepare to Evaluate

∴

AV = \frac{(\frac{220}{3.1416 \cdot 4} - 4 - \frac{11}{2}) + 4 + \frac{11}{2}}{\frac{1}{2} \cdot 4 \cdot (\frac{220}{3.1416 \cdot 4} - 4 - \frac{11}{2})}

Next Step Evaluate

∴

AV = 1.09322768229759m⁻¹

LAST Step Rounding Answer

∴

AV = 1.0932m⁻¹

Surface to Volume Ratio of Diagonally Halved Cylinder given Total Surface Area and Radius Formula Elements

Variables

Constants

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

Total Surface Area of Diagonally Halved Cylinder

Total Surface Area of Diagonally Halved Cylinder is the total quantity of plane enclosed on the entire surface of the Diagonally Halved Cylinder.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Diagonally Halved Cylinder

Radius of Diagonally Halved Cylinder

Radius of Diagonally Halved Cylinder is the distance between the center and any point on the circumference of the base circular face of the Diagonally Halved Cylinder.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius 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

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 Volume and Height

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}

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}}

How to Evaluate Surface to Volume Ratio of Diagonally Halved Cylinder given Total Surface Area and Radius?

Surface to Volume Ratio of Diagonally Halved Cylinder given Total Surface Area and Radius evaluator uses SA:V of Diagonally Halved Cylinder = ((Total Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder)-Radius of Diagonally Halved Cylinder-Space Diagonal of Diagonally Halved Cylinder/2)+Radius of Diagonally Halved Cylinder+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*Radius of Diagonally Halved Cylinder*(Total Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder)-Radius of Diagonally Halved Cylinder-Space Diagonal of Diagonally Halved Cylinder/2)) to evaluate the SA:V of Diagonally Halved Cylinder, Surface to Volume Ratio of Diagonally Halved Cylinder given Total Surface Area and Radius 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 total surface area and radius 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 Total Surface Area and Radius using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Diagonally Halved Cylinder given Total Surface Area and Radius, enter Total Surface Area of Diagonally Halved Cylinder (TSA), Radius of Diagonally Halved Cylinder (r) & Space Diagonal of Diagonally Halved Cylinder (d_Space) and hit the calculate button.

FAQs on Surface to Volume Ratio of Diagonally Halved Cylinder given Total Surface Area and Radius

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

The formula of Surface to Volume Ratio of Diagonally Halved Cylinder given Total Surface Area and Radius is expressed as SA:V of Diagonally Halved Cylinder = ((Total Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder)-Radius of Diagonally Halved Cylinder-Space Diagonal of Diagonally Halved Cylinder/2)+Radius of Diagonally Halved Cylinder+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*Radius of Diagonally Halved Cylinder*(Total Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder)-Radius of Diagonally Halved Cylinder-Space Diagonal of Diagonally Halved Cylinder/2)). Here is an example- 1.093228 = ((220/(pi*4)-4-11/2)+4+11/2)/(1/2*4*(220/(pi*4)-4-11/2)).

How to calculate Surface to Volume Ratio of Diagonally Halved Cylinder given Total Surface Area and Radius?

With Total Surface Area of Diagonally Halved Cylinder (TSA), Radius of Diagonally Halved Cylinder (r) & Space Diagonal of Diagonally Halved Cylinder (d_Space) we can find Surface to Volume Ratio of Diagonally Halved Cylinder given Total Surface Area and Radius using the formula - SA:V of Diagonally Halved Cylinder = ((Total Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder)-Radius of Diagonally Halved Cylinder-Space Diagonal of Diagonally Halved Cylinder/2)+Radius of Diagonally Halved Cylinder+Space Diagonal of Diagonally Halved Cylinder/2)/(1/2*Radius of Diagonally Halved Cylinder*(Total Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder)-Radius of Diagonally Halved Cylinder-Space Diagonal of Diagonally Halved Cylinder/2)). This formula also uses Archimedes' constant .

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+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)

Can the Surface to Volume Ratio of Diagonally Halved Cylinder given Total Surface Area and Radius be negative?

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

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

Surface to Volume Ratio of Diagonally Halved Cylinder given Total 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 Diagonally Halved Cylinder given Total Surface Area and Radius can be measured.

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Surface to Volume Ratio of Diagonally Halved Cylinder given Total Surface Area and Radius 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 Total Surface Area and Radius Example

Surface to Volume Ratio of Diagonally Halved Cylinder given Total Surface Area and Radius Solution

Surface to Volume Ratio of Diagonally Halved Cylinder given Total Surface Area and Radius Formula Elements

Other Formulas to find SA:V of Diagonally Halved Cylinder

How to Evaluate Surface to Volume Ratio of Diagonally Halved Cylinder given Total Surface Area and Radius?

FAQs on Surface to Volume Ratio of Diagonally Halved Cylinder given Total Surface Area and Radius

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