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

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GoBase Area of Half Cylinder given Curved Surface Area and Height Formula

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Base Area of Half Cylinder is the area of the base circular face of Half Cylinder. Check FAQs

A Base = \frac{π}{2} \cdot {(\frac{h \cdot (π + 2)}{(\frac{1}{2} \cdot π \cdot R A/V \cdot h) - π})}^{2}

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

Base Area of Half Cylinder given Surface to Volume Ratio and Height Example

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

151.467 = \frac{3.1416}{2} \cdot {(\frac{12 \cdot (3.1416 + 2)}{(\frac{1}{2} \cdot 3.1416 \cdot 0.5 \cdot 12) - 3.1416})}^{2}

151.467m² = \frac{3.1416}{2} \cdot {(\frac{12m \cdot (3.1416 + 2)}{(\frac{1}{2} \cdot 3.1416 \cdot 0.5m⁻¹ \cdot 12m) - 3.1416})}^{2}

151.467 = \frac{3.1416}{2} \cdot {(\frac{12 \cdot (3.1416 + 2)}{(\frac{1}{2} \cdot 3.1416 \cdot 0.5 \cdot 12) - 3.1416})}^{2}

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Base Area of Half Cylinder given Surface to Volume Ratio and Height Solution

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

FIRST Step Consider the formula

A Base = \frac{π}{2} \cdot {(\frac{h \cdot (π + 2)}{(\frac{1}{2} \cdot π \cdot R A/V \cdot h) - π})}^{2}

Next Step Substitute values of Variables

∴

A Base = \frac{π}{2} \cdot {(\frac{12m \cdot (π + 2)}{(\frac{1}{2} \cdot π \cdot 0.5m⁻¹ \cdot 12m) - π})}^{2}

Next Step Substitute values of Constants

∴

A Base = \frac{3.1416}{2} \cdot {(\frac{12m \cdot (3.1416 + 2)}{(\frac{1}{2} \cdot 3.1416 \cdot 0.5m⁻¹ \cdot 12m) - 3.1416})}^{2}

Next Step Prepare to Evaluate

∴

A Base = \frac{3.1416}{2} \cdot {(\frac{12 \cdot (3.1416 + 2)}{(\frac{1}{2} \cdot 3.1416 \cdot 0.5 \cdot 12) - 3.1416})}^{2}

Next Step Evaluate

∴

A Base = 151.466979569849m²

LAST Step Rounding Answer

∴

A Base = 151.467m²

Base Area of Half Cylinder given Surface to Volume Ratio and Height Formula Elements

Variables

Constants

Base Area of Half Cylinder

Base Area of Half Cylinder is the area of the base circular face of Half Cylinder.

Symbol: A_Base

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Base Area 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

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

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 Base Area of Half Cylinder

Go Base Area of Half Cylinder

A Base = \frac{π \cdot r^{2}}{2}

Go Base Area of Half Cylinder given Curved Surface Area and Height

A Base = \frac{{CSA}^{2}}{2 \cdot π \cdot h^{2}}

Go Base Area of Half Cylinder given Space Diagonal and Height

A Base = \frac{π \cdot ({d Space}^{2} - h^{2})}{2}

Go Base Area of Half Cylinder given Volume

A Base = \frac{V}{h}

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

Base Area of Half Cylinder given Surface to Volume Ratio and Height evaluator uses Base Area of Half Cylinder = pi/2*((Height of Half Cylinder*(pi+2))/((1/2*pi*Surface to Volume Ratio of Half Cylinder*Height of Half Cylinder)-pi))^2 to evaluate the Base Area of Half Cylinder, The Base Area of Half Cylinder given Surface to Volume Ratio and Height formula is defined as the area of the base circular face of Half Cylinder, calculated using surface to volume ratio and height of Half Cylinder. Base Area of Half Cylinder is denoted by A_Base symbol.

How to evaluate Base Area of Half Cylinder given Surface to Volume Ratio and Height using this online evaluator? To use this online evaluator for Base Area of Half Cylinder given Surface to Volume Ratio and Height, enter Height of Half Cylinder (h) & Surface to Volume Ratio of Half Cylinder (R_A/V) and hit the calculate button.

FAQs on Base Area of Half Cylinder given Surface to Volume Ratio and Height

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

The formula of Base Area of Half Cylinder given Surface to Volume Ratio and Height is expressed as Base Area of Half Cylinder = pi/2*((Height of Half Cylinder*(pi+2))/((1/2*pi*Surface to Volume Ratio of Half Cylinder*Height of Half Cylinder)-pi))^2. Here is an example- 151.467 = pi/2*((12*(pi+2))/((1/2*pi*0.5*12)-pi))^2.

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

With Height of Half Cylinder (h) & Surface to Volume Ratio of Half Cylinder (R_A/V) we can find Base Area of Half Cylinder given Surface to Volume Ratio and Height using the formula - Base Area of Half Cylinder = pi/2*((Height of Half Cylinder*(pi+2))/((1/2*pi*Surface to Volume Ratio of Half Cylinder*Height of Half Cylinder)-pi))^2. This formula also uses Archimedes' constant .

What are the other ways to Calculate Base Area of Half Cylinder?

Here are the different ways to Calculate Base Area of Half Cylinder-

Base Area of Half Cylinder=(pi*Radius of Half Cylinder^2)/2
Base Area of Half Cylinder=Curved Surface Area of Half Cylinder^2/(2*pi*Height of Half Cylinder^2)
Base Area of Half Cylinder=(pi*(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2))/2

Can the Base Area of Half Cylinder given Surface to Volume Ratio and Height be negative?

No, the Base Area of Half Cylinder given Surface to Volume Ratio and Height, measured in Area cannot be negative.

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

Base Area of Half Cylinder given Surface to Volume Ratio and Height is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Base Area of Half Cylinder given Surface to Volume Ratio and Height can be measured.

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

​GoBase Area of Half Cylinder Formula

​GoBase Area of Half Cylinder given Curved Surface Area and Height Formula

Base Area of Half Cylinder given Surface to Volume Ratio and Height Example

Base Area of Half Cylinder given Surface to Volume Ratio and Height Solution

Base Area of Half Cylinder given Surface to Volume Ratio and Height Formula Elements

Other Formulas to find Base Area of Half Cylinder

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

FAQs on Base Area of Half Cylinder given Surface to Volume Ratio and Height

Variable Name

GoBase Area of Half Cylinder Formula

GoBase Area of Half Cylinder given Curved Surface Area and Height Formula