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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. Check FAQs
LSA=(RA/V⋅2⋅π⋅ACurve⋅rArea Centroid)-(((rTop+rBottom)2)⋅π)
LSA - Lateral Surface Area of Solid of Revolution?RA/V - Surface to Volume Ratio of Solid of Revolution?ACurve - Area under Curve Solid of Revolution?rArea Centroid - Radius at Area Centroid of Solid of Revolution?rTop - Top Radius of Solid of Revolution?rBottom - Bottom Radius of Solid of Revolution?π - Archimedes' constant?

Lateral Surface Area of Solid of Revolution given Surface to Volume Ratio Example

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

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

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

2073.4512Edit=(1.3Edit⋅2⋅3.1416⋅50Edit⋅12Edit)-(((10Edit+20Edit)2)⋅3.1416)
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Lateral Surface Area of Solid of Revolution given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula
LSA=(RA/V⋅2⋅π⋅ACurve⋅rArea Centroid)-(((rTop+rBottom)2)⋅π)
Next Step Substitute values of Variables
∴ LSA=(1.3m⁻¹⋅2⋅π⋅50m²⋅12m)-(((10m+20m)2)⋅π)
Next Step Substitute values of Constants
∴ LSA=(1.3m⁻¹⋅2⋅3.1416⋅50m²⋅12m)-(((10m+20m)2)⋅3.1416)
Next Step Prepare to Evaluate
∴ LSA=(1.3⋅2⋅3.1416⋅50⋅12)-(((10+20)2)⋅3.1416)
Next Step Evaluate
∴LSA=2073.45115136926m²
LAST Step Rounding Answer
∴LSA=2073.4512m²

Lateral Surface Area of Solid of Revolution given Surface to Volume Ratio Formula Elements

Variables
Constants
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 RevolutionOpen Variable
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: RA/V
Measurement: Reciprocal LengthUnit: m⁻¹
Note: Value should be greater than 0.
Formulas to find Surface to Volume Ratio of Solid of RevolutionOpen Variable
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: ACurve
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Area under Curve Solid of RevolutionOpen Variable
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: rArea Centroid
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Radius at Area Centroid of Solid of RevolutionOpen Variable
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: rTop
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Top Radius of Solid of RevolutionOpen Variable
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: rBottom
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Bottom Radius of Solid of RevolutionOpen Variable
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 Lateral Surface Area of Solid of Revolution

​Go Lateral Surface Area of Solid of Revolution
LSA=2⋅π⋅lCurve⋅rCurve Centroid
​Go Lateral Surface Area of Solid of Revolution given Total Surface Area
LSA=TSA-(((rTop+rBottom)2)⋅π)

How to Evaluate Lateral Surface Area of Solid of Revolution given Surface to Volume Ratio?

Lateral Surface Area of Solid of Revolution given Surface to Volume Ratio evaluator uses Lateral Surface Area of Solid of Revolution = (Surface to Volume Ratio of Solid of Revolution*2*pi*Area under Curve Solid of Revolution*Radius at Area Centroid of Solid of Revolution)-(((Top Radius of Solid of Revolution+Bottom Radius of Solid of Revolution)^2)*pi) to evaluate the Lateral Surface Area of Solid of Revolution, Lateral Surface Area of Solid of Revolution given Surface to Volume Ratio formula is defined as the total quantity of two dimensional space enclosed on the lateral surface of the Solid of Revolution, calculated using its surface to volume ratio. Lateral Surface Area of Solid of Revolution is denoted by LSA symbol.

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

FAQs on Lateral Surface Area of Solid of Revolution given Surface to Volume Ratio

What is the formula to find Lateral Surface Area of Solid of Revolution given Surface to Volume Ratio?
The formula of Lateral Surface Area of Solid of Revolution given Surface to Volume Ratio is expressed as Lateral Surface Area of Solid of Revolution = (Surface to Volume Ratio of Solid of Revolution*2*pi*Area under Curve Solid of Revolution*Radius at Area Centroid of Solid of Revolution)-(((Top Radius of Solid of Revolution+Bottom Radius of Solid of Revolution)^2)*pi). Here is an example- 2073.451 = (1.3*2*pi*50*12)-(((10+20)^2)*pi).
How to calculate Lateral Surface Area of Solid of Revolution given Surface to Volume Ratio?
With Surface to Volume Ratio of Solid of Revolution (RA/V), Area under Curve Solid of Revolution (ACurve), Radius at Area Centroid of Solid of Revolution (rArea Centroid), Top Radius of Solid of Revolution (rTop) & Bottom Radius of Solid of Revolution (rBottom) we can find Lateral Surface Area of Solid of Revolution given Surface to Volume Ratio using the formula - Lateral Surface Area of Solid of Revolution = (Surface to Volume Ratio of Solid of Revolution*2*pi*Area under Curve Solid of Revolution*Radius at Area Centroid of Solid of Revolution)-(((Top Radius of Solid of Revolution+Bottom Radius of Solid of Revolution)^2)*pi). This formula also uses Archimedes' constant .
What are the other ways to Calculate Lateral Surface Area of Solid of Revolution?
Here are the different ways to Calculate Lateral Surface Area of Solid of Revolution-
  • Lateral Surface Area of Solid of Revolution=2*pi*Curve Length of Solid of Revolution*Radius at Curve Centroid of Solid of RevolutionOpenImg
  • Lateral Surface Area of Solid of Revolution=Total Surface Area of Solid of Revolution-(((Top Radius of Solid of Revolution+Bottom Radius of Solid of Revolution)^2)*pi)OpenImg
Can the Lateral Surface Area of Solid of Revolution given Surface to Volume Ratio be negative?
No, the Lateral Surface Area of Solid of Revolution given Surface to Volume Ratio, measured in Area cannot be negative.
Which unit is used to measure Lateral Surface Area of Solid of Revolution given Surface to Volume Ratio?
Lateral Surface Area of Solid of Revolution given Surface to Volume Ratio 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 Lateral Surface Area of Solid of Revolution given Surface to Volume Ratio can be measured.
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