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Surface to Volume Ratio of Solid of Revolution Formula

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

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

R_A/V - Surface to Volume Ratio 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_{Area Centroid} - Radius at Area Centroid of Solid of Revolution?π - Archimedes' constant?

Surface to Volume Ratio of Solid of Revolution Example

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

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

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

1.376 = \frac{2360 + (({(10 + 20)}^{2}) \cdot 3.1416)}{2 \cdot 3.1416 \cdot 50 \cdot 12}

1.376m⁻¹ = \frac{2360m² + (({(10m + 20m)}^{2}) \cdot 3.1416)}{2 \cdot 3.1416 \cdot 50m² \cdot 12m}

1.376 = \frac{2360 + (({(10 + 20)}^{2}) \cdot 3.1416)}{2 \cdot 3.1416 \cdot 50 \cdot 12}

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Surface to Volume Ratio of Solid of Revolution Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{2360m² + (({(10m + 20m)}^{2}) \cdot π)}{2 \cdot π \cdot 50m² \cdot 12m}

Next Step Substitute values of Constants

∴

R A/V = \frac{2360m² + (({(10m + 20m)}^{2}) \cdot 3.1416)}{2 \cdot 3.1416 \cdot 50m² \cdot 12m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{2360 + (({(10 + 20)}^{2}) \cdot 3.1416)}{2 \cdot 3.1416 \cdot 50 \cdot 12}

Next Step Evaluate

∴

R A/V = 1.37600944282812m⁻¹

LAST Step Rounding Answer

∴

R A/V = 1.376m⁻¹

Surface to Volume Ratio of Solid of Revolution Formula Elements

Variables

Constants

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

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

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

How to Evaluate Surface to Volume Ratio of Solid of Revolution?

Surface to Volume Ratio of Solid of Revolution evaluator uses Surface to Volume Ratio 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*Radius at Area Centroid of Solid of Revolution) to evaluate the Surface to Volume Ratio of Solid of Revolution, Surface to Volume Ratio of Solid of Revolution formula is defined as the fraction of surface area to volume of Solid of Revolution. Surface to Volume Ratio of Solid of Revolution is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Solid of Revolution

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

The formula of Surface to Volume Ratio of Solid of Revolution is expressed as Surface to Volume Ratio 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*Radius at Area Centroid of Solid of Revolution). Here is an example- 1.376009 = (2360+(((10+20)^2)*pi))/(2*pi*50*12).

How to calculate Surface to Volume Ratio of Solid of Revolution?

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) & Radius at Area Centroid of Solid of Revolution (r_{Area Centroid}) we can find Surface to Volume Ratio of Solid of Revolution using the formula - Surface to Volume Ratio 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*Radius at Area Centroid of Solid of Revolution). This formula also uses Archimedes' constant .

Can the Surface to Volume Ratio of Solid of Revolution be negative?

No, the Surface to Volume Ratio of Solid of Revolution, measured in Reciprocal Length cannot be negative.

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

Surface to Volume Ratio of Solid of Revolution is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Solid of Revolution can be measured.

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Surface to Volume Ratio of Solid of Revolution Formula

Surface to Volume Ratio of Solid of Revolution Example

Surface to Volume Ratio of Solid of Revolution Solution

Surface to Volume Ratio of Solid of Revolution Formula Elements

How to Evaluate Surface to Volume Ratio of Solid of Revolution?

FAQs on Surface to Volume Ratio of Solid of Revolution

Variable Name