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Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio Formula

GoRadius at Area Centroid of Solid of Revolution Formula

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Radius at Area Centroid of Solid of Revolution is the horizontal distance from the centroidal point with respect to area under the revolving curve to the axis of rotation of the Solid of Revolution. Check FAQs

r Area Centroid = \frac{LSA + (({(r Top + r Bottom)}^{2}) \cdot π)}{2 \cdot π \cdot A Curve \cdot R A/V}

r_{Area Centroid} - Radius at Area Centroid of Solid of Revolution?LSA - Lateral Surface Area of Solid of Revolution?r_Top - Top Radius of Solid of Revolution?r_Bottom - Bottom Radius of Solid of Revolution?A_Curve - Area under Curve Solid of Revolution?R_A/V - Surface to Volume Ratio of Solid of Revolution?π - Archimedes' constant?

Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio Example

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Here is how the Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio equation looks like with Values.

Here is how the Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio equation looks like with Units.

Here is how the Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio equation looks like.

12.7016 = \frac{2360 + (({(10 + 20)}^{2}) \cdot 3.1416)}{2 \cdot 3.1416 \cdot 50 \cdot 1.3}

12.7016m = \frac{2360m² + (({(10m + 20m)}^{2}) \cdot 3.1416)}{2 \cdot 3.1416 \cdot 50m² \cdot 1.3m⁻¹}

12.7016 = \frac{2360 + (({(10 + 20)}^{2}) \cdot 3.1416)}{2 \cdot 3.1416 \cdot 50 \cdot 1.3}

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Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio?

FIRST Step Consider the formula

r Area Centroid = \frac{LSA + (({(r Top + r Bottom)}^{2}) \cdot π)}{2 \cdot π \cdot A Curve \cdot R A/V}

Next Step Substitute values of Variables

∴

r Area Centroid = \frac{2360m² + (({(10m + 20m)}^{2}) \cdot π)}{2 \cdot π \cdot 50m² \cdot 1.3m⁻¹}

Next Step Substitute values of Constants

∴

r Area Centroid = \frac{2360m² + (({(10m + 20m)}^{2}) \cdot 3.1416)}{2 \cdot 3.1416 \cdot 50m² \cdot 1.3m⁻¹}

Next Step Prepare to Evaluate

∴

r Area Centroid = \frac{2360 + (({(10 + 20)}^{2}) \cdot 3.1416)}{2 \cdot 3.1416 \cdot 50 \cdot 1.3}

Next Step Evaluate

∴

r Area Centroid = 12.7016256261057m

LAST Step Rounding Answer

∴

r Area Centroid = 12.7016m

Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio Formula Elements

Variables

Constants

Radius at Area Centroid of Solid of Revolution

Radius at Area Centroid of Solid of Revolution is the horizontal distance from the centroidal point with respect to area under the revolving curve to the axis of rotation of the Solid of Revolution.

Symbol: r_{Area Centroid}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius at Area Centroid of Solid of Revolution

Lateral Surface Area of Solid of Revolution

Lateral Surface Area of Solid of Revolution is the total quantity of two dimensional space enclosed on the lateral surface of the Solid of Revolution.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Solid of Revolution

Top Radius of Solid of Revolution

Top Radius of Solid of Revolution is the horizontal distance from the top end point of the revolving curve to the axis of rotation of the Solid of Revolution.

Symbol: r_Top

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Radius of Solid of Revolution

Bottom Radius of Solid of Revolution

Bottom Radius of Solid of Revolution is the horizontal distance from the bottom end point of the revolving curve to the axis of rotation of the Solid of Revolution.

Symbol: r_Bottom

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Bottom Radius of Solid of Revolution

Area under Curve Solid of Revolution

Area under Curve Solid of Revolution is defined as the total quantity of two dimensional space enclosed under the curve in a plane, which revolve around a fixed axis to form the Solid of Revolution.

Symbol: A_Curve

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area under Curve Solid of Revolution

Surface to Volume Ratio of Solid of Revolution

Surface to Volume Ratio of Solid of Revolution is defined as the fraction of surface area to volume of Solid of Revolution.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Solid of Revolution

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 Radius at Area Centroid of Solid of Revolution

Go Radius at Area Centroid of Solid of Revolution

r Area Centroid = \frac{V}{2 \cdot π \cdot A Curve}

How to Evaluate Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio?

Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio evaluator uses Radius at Area Centroid of Solid of Revolution = (Lateral Surface Area of Solid of Revolution+(((Top Radius of Solid of Revolution+Bottom Radius of Solid of Revolution)^2)*pi))/(2*pi*Area under Curve Solid of Revolution*Surface to Volume Ratio of Solid of Revolution) to evaluate the Radius at Area Centroid of Solid of Revolution, Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio formula is defined as the horizontal distance from the centroidal point with respect to area under the revolving curve to the axis of rotation of the Solid of Revolution, calculated using its surface to volume ratio. Radius at Area Centroid of Solid of Revolution is denoted by r_{Area Centroid} symbol.

How to evaluate Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio, enter Lateral Surface Area of Solid of Revolution (LSA), Top Radius of Solid of Revolution (r_Top), Bottom Radius of Solid of Revolution (r_Bottom), Area under Curve Solid of Revolution (A_Curve) & Surface to Volume Ratio of Solid of Revolution (R_A/V) and hit the calculate button.

FAQs on Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio

What is the formula to find Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio?

The formula of Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio is expressed as Radius at Area Centroid of Solid of Revolution = (Lateral Surface Area of Solid of Revolution+(((Top Radius of Solid of Revolution+Bottom Radius of Solid of Revolution)^2)*pi))/(2*pi*Area under Curve Solid of Revolution*Surface to Volume Ratio of Solid of Revolution). Here is an example- 12.70163 = (2360+(((10+20)^2)*pi))/(2*pi*50*1.3).

How to calculate Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio?

With Lateral Surface Area of Solid of Revolution (LSA), Top Radius of Solid of Revolution (r_Top), Bottom Radius of Solid of Revolution (r_Bottom), Area under Curve Solid of Revolution (A_Curve) & Surface to Volume Ratio of Solid of Revolution (R_A/V) we can find Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio using the formula - Radius at Area Centroid of Solid of Revolution = (Lateral Surface Area of Solid of Revolution+(((Top Radius of Solid of Revolution+Bottom Radius of Solid of Revolution)^2)*pi))/(2*pi*Area under Curve Solid of Revolution*Surface to Volume Ratio of Solid of Revolution). This formula also uses Archimedes' constant .

What are the other ways to Calculate Radius at Area Centroid of Solid of Revolution?

Here are the different ways to Calculate Radius at Area Centroid of Solid of Revolution-

Radius at Area Centroid of Solid of Revolution=Volume of Solid of Revolution/(2*pi*Area under Curve Solid of Revolution)

Can the Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio be negative?

No, the Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio?

Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio can be measured.

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Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio Formula

​GoRadius at Area Centroid of Solid of Revolution Formula

Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio Example

Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio Solution

Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio Formula Elements

Other Formulas to find Radius at Area Centroid of Solid of Revolution

How to Evaluate Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio?

FAQs on Radius at Area Centroid of Solid of Revolution given Surface to Volume Ratio

Variable Name

GoRadius at Area Centroid of Solid of Revolution Formula