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Radius at Area Centroid of Solid of Revolution Formula

GoRadius at Area Centroid of Solid of Revolution given Surface to Volume Ratio 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{V}{2 \cdot π \cdot A Curve}

r_{Area Centroid} - Radius at Area Centroid of Solid of Revolution?V - Volume of Solid of Revolution?A_Curve - Area under Curve Solid of Revolution?π - Archimedes' constant?

Radius at Area Centroid of Solid of Revolution Example

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Here is how the Radius at Area Centroid of Solid of Revolution equation looks like with Values.

Here is how the Radius at Area Centroid of Solid of Revolution equation looks like with Units.

Here is how the Radius at Area Centroid of Solid of Revolution equation looks like.

12.0958 = \frac{3800}{2 \cdot 3.1416 \cdot 50}

12.0958m = \frac{3800m³}{2 \cdot 3.1416 \cdot 50m²}

12.0958 = \frac{3800}{2 \cdot 3.1416 \cdot 50}

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Radius at Area Centroid of Solid of Revolution Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r Area Centroid = \frac{3800m³}{2 \cdot π \cdot 50m²}

Next Step Substitute values of Constants

∴

r Area Centroid = \frac{3800m³}{2 \cdot 3.1416 \cdot 50m²}

Next Step Prepare to Evaluate

∴

r Area Centroid = \frac{3800}{2 \cdot 3.1416 \cdot 50}

Next Step Evaluate

∴

r Area Centroid = 12.095775674984m

LAST Step Rounding Answer

∴

r Area Centroid = 12.0958m

Radius at Area Centroid of Solid of Revolution 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

Volume of Solid of Revolution

Volume of Solid of Revolution is the total quantity of three dimensional space enclosed by the entire surface of the Solid of Revolution.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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

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 given Surface to Volume Ratio

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

How to Evaluate Radius at Area Centroid of Solid of Revolution?

Radius at Area Centroid of Solid of Revolution evaluator uses Radius at Area Centroid of Solid of Revolution = Volume of Solid of Revolution/(2*pi*Area under Curve Solid of Revolution) to evaluate the Radius at Area Centroid of Solid of Revolution, Radius at Area Centroid of Solid of Revolution 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. 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 using this online evaluator? To use this online evaluator for Radius at Area Centroid of Solid of Revolution, enter Volume of Solid of Revolution (V) & Area under Curve Solid of Revolution (A_Curve) and hit the calculate button.

FAQs on Radius at Area Centroid of Solid of Revolution

What is the formula to find Radius at Area Centroid of Solid of Revolution?

The formula of Radius at Area Centroid of Solid of Revolution is expressed as Radius at Area Centroid of Solid of Revolution = Volume of Solid of Revolution/(2*pi*Area under Curve Solid of Revolution). Here is an example- 12.09578 = 3800/(2*pi*50).

How to calculate Radius at Area Centroid of Solid of Revolution?

With Volume of Solid of Revolution (V) & Area under Curve Solid of Revolution (A_Curve) we can find Radius at Area Centroid of Solid of Revolution using the formula - Radius at Area Centroid of Solid of Revolution = Volume of Solid of Revolution/(2*pi*Area under Curve 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=(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)

Can the Radius at Area Centroid of Solid of Revolution be negative?

No, the Radius at Area Centroid of Solid of Revolution, measured in Length cannot be negative.

Which unit is used to measure Radius at Area Centroid of Solid of Revolution?

Radius at Area Centroid of Solid of Revolution 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 can be measured.

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Radius at Area Centroid of Solid of Revolution Formula

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

Radius at Area Centroid of Solid of Revolution Example

Radius at Area Centroid of Solid of Revolution Solution

Radius at Area Centroid of Solid of Revolution 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?

FAQs on Radius at Area Centroid of Solid of Revolution

Variable Name

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