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Volume of Solid of Revolution Formula

GoVolume of Solid of Revolution given Surface to Volume Ratio Formula

GoVolume of Solid of Revolution given Lateral Surface Area Formula

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

V = 2 \cdot π \cdot A Curve \cdot r Area Centroid

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

Volume of Solid of Revolution Example

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Here is how the Volume of Solid of Revolution equation looks like with Values.

Here is how the Volume of Solid of Revolution equation looks like with Units.

Here is how the Volume of Solid of Revolution equation looks like.

3769.9112 = 2 \cdot 3.1416 \cdot 50 \cdot 12

3769.9112m³ = 2 \cdot 3.1416 \cdot 50m² \cdot 12m

3769.9112 = 2 \cdot 3.1416 \cdot 50 \cdot 12

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Volume of Solid of Revolution Solution

Follow our step by step solution on how to calculate Volume of Solid of Revolution?

FIRST Step Consider the formula

V = 2 \cdot π \cdot A Curve \cdot r Area Centroid

Next Step Substitute values of Variables

∴

V = 2 \cdot π \cdot 50m² \cdot 12m

Next Step Substitute values of Constants

∴

V = 2 \cdot 3.1416 \cdot 50m² \cdot 12m

Next Step Prepare to Evaluate

∴

V = 2 \cdot 3.1416 \cdot 50 \cdot 12

Next Step Evaluate

∴

V = 3769.91118430775m³

LAST Step Rounding Answer

∴

V = 3769.9112m³

Volume of Solid of Revolution Formula Elements

Variables

Constants

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

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 Volume of Solid of Revolution

Go Volume of Solid of Revolution given Surface to Volume Ratio

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

Go Volume of Solid of Revolution given Lateral Surface Area

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

How to Evaluate Volume of Solid of Revolution?

Volume of Solid of Revolution evaluator uses Volume of Solid of Revolution = 2*pi*Area under Curve Solid of Revolution*Radius at Area Centroid of Solid of Revolution to evaluate the Volume of Solid of Revolution, Volume of Solid of Revolution formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Solid of Revolution. Volume of Solid of Revolution is denoted by V symbol.

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

FAQs on Volume of Solid of Revolution

What is the formula to find Volume of Solid of Revolution?

The formula of Volume of Solid of Revolution is expressed as Volume of Solid of Revolution = 2*pi*Area under Curve Solid of Revolution*Radius at Area Centroid of Solid of Revolution. Here is an example- 3769.911 = 2*pi*50*12.

How to calculate Volume of Solid of Revolution?

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

What are the other ways to Calculate Volume of Solid of Revolution?

Here are the different ways to Calculate Volume of Solid of Revolution-

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

Can the Volume of Solid of Revolution be negative?

No, the Volume of Solid of Revolution, measured in Volume cannot be negative.

Which unit is used to measure Volume of Solid of Revolution?

Volume of Solid of Revolution is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Solid of Revolution can be measured.

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Volume of Solid of Revolution Formula

​GoVolume of Solid of Revolution given Surface to Volume Ratio Formula

​GoVolume of Solid of Revolution given Lateral Surface Area Formula

Volume of Solid of Revolution Example

Volume of Solid of Revolution Solution

Volume of Solid of Revolution Formula Elements

Other Formulas to find Volume of Solid of Revolution

How to Evaluate Volume of Solid of Revolution?

FAQs on Volume of Solid of Revolution

Variable Name

GoVolume of Solid of Revolution given Surface to Volume Ratio Formula

GoVolume of Solid of Revolution given Lateral Surface Area Formula