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Area under Curve of Solid of Revolution given Volume Formula

GoArea under Curve of Solid of Revolution Formula

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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. Check FAQs

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

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

Area under Curve of Solid of Revolution given Volume Example

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Here is how the Area under Curve of Solid of Revolution given Volume equation looks like with Values.

Here is how the Area under Curve of Solid of Revolution given Volume equation looks like with Units.

Here is how the Area under Curve of Solid of Revolution given Volume equation looks like.

50.3991 = \frac{3800}{2 \cdot 3.1416 \cdot 12}

50.3991m² = \frac{3800m³}{2 \cdot 3.1416 \cdot 12m}

50.3991 = \frac{3800}{2 \cdot 3.1416 \cdot 12}

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Area under Curve of Solid of Revolution given Volume Solution

Follow our step by step solution on how to calculate Area under Curve of Solid of Revolution given Volume?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A Curve = \frac{3800m³}{2 \cdot π \cdot 12m}

Next Step Substitute values of Constants

∴

A Curve = \frac{3800m³}{2 \cdot 3.1416 \cdot 12m}

Next Step Prepare to Evaluate

∴

A Curve = \frac{3800}{2 \cdot 3.1416 \cdot 12}

Next Step Evaluate

∴

A Curve = 50.3990653124335m²

LAST Step Rounding Answer

∴

A Curve = 50.3991m²

Area under Curve of Solid of Revolution given Volume Formula Elements

Variables

Constants

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

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

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

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 Area under Curve Solid of Revolution

Go Area under Curve of Solid of Revolution

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

How to Evaluate Area under Curve of Solid of Revolution given Volume?

Area under Curve of Solid of Revolution given Volume evaluator uses Area under Curve Solid of Revolution = Volume of Solid of Revolution/(2*pi*Radius at Area Centroid of Solid of Revolution) to evaluate the Area under Curve Solid of Revolution, Area under Curve of Solid of Revolution given Volume formula 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, calculated using its volume. Area under Curve Solid of Revolution is denoted by A_Curve symbol.

How to evaluate Area under Curve of Solid of Revolution given Volume using this online evaluator? To use this online evaluator for Area under Curve of Solid of Revolution given Volume, enter Volume of Solid of Revolution (V) & Radius at Area Centroid of Solid of Revolution (r_{Area Centroid}) and hit the calculate button.

FAQs on Area under Curve of Solid of Revolution given Volume

What is the formula to find Area under Curve of Solid of Revolution given Volume?

The formula of Area under Curve of Solid of Revolution given Volume is expressed as Area under Curve Solid of Revolution = Volume of Solid of Revolution/(2*pi*Radius at Area Centroid of Solid of Revolution). Here is an example- 50.39907 = 3800/(2*pi*12).

How to calculate Area under Curve of Solid of Revolution given Volume?

With Volume of Solid of Revolution (V) & Radius at Area Centroid of Solid of Revolution (r_{Area Centroid}) we can find Area under Curve of Solid of Revolution given Volume using the formula - Area under Curve Solid of Revolution = Volume of Solid of Revolution/(2*pi*Radius at Area Centroid of Solid of Revolution). This formula also uses Archimedes' constant .

What are the other ways to Calculate Area under Curve Solid of Revolution?

Here are the different ways to Calculate Area under Curve Solid of Revolution-

Area under Curve 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*Radius at Area Centroid of Solid of Revolution*Surface to Volume Ratio of Solid of Revolution)

Can the Area under Curve of Solid of Revolution given Volume be negative?

No, the Area under Curve of Solid of Revolution given Volume, measured in Area cannot be negative.

Which unit is used to measure Area under Curve of Solid of Revolution given Volume?

Area under Curve of Solid of Revolution given Volume 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 Area under Curve of Solid of Revolution given Volume can be measured.

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Area under Curve of Solid of Revolution given Volume Formula

​GoArea under Curve of Solid of Revolution Formula

Area under Curve of Solid of Revolution given Volume Example

Area under Curve of Solid of Revolution given Volume Solution

Area under Curve of Solid of Revolution given Volume Formula Elements

Other Formulas to find Area under Curve Solid of Revolution

How to Evaluate Area under Curve of Solid of Revolution given Volume?

FAQs on Area under Curve of Solid of Revolution given Volume

Variable Name

GoArea under Curve of Solid of Revolution Formula