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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=TSA-(((rTop+rBottom)2)⋅π)
LSA - Lateral Surface Area of Solid of Revolution?TSA - Total Surface Area 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 Total Surface Area Example

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

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

Here is how the Lateral Surface Area of Solid of Revolution given Total Surface Area equation looks like.

2372.5666Edit=5200Edit-(((10Edit+20Edit)2)⋅3.1416)
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Lateral Surface Area of Solid of Revolution given Total Surface Area Solution

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

FIRST Step Consider the formula
LSA=TSA-(((rTop+rBottom)2)⋅π)
Next Step Substitute values of Variables
∴ LSA=5200m²-(((10m+20m)2)⋅π)
Next Step Substitute values of Constants
∴ LSA=5200m²-(((10m+20m)2)⋅3.1416)
Next Step Prepare to Evaluate
∴ LSA=5200-(((10+20)2)⋅3.1416)
Next Step Evaluate
∴LSA=2372.56661176919m²
LAST Step Rounding Answer
∴LSA=2372.5666m²

Lateral Surface Area of Solid of Revolution given Total Surface Area 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
Total Surface Area of Solid of Revolution
Total Surface Area of Solid of Revolution is the total quantity of two dimensional space enclosed on the entire surface of the Solid of Revolution.
Symbol: TSA
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Total Surface Area 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 Surface to Volume Ratio
LSA=(RA/V⋅2⋅π⋅ACurve⋅rArea Centroid)-(((rTop+rBottom)2)⋅π)

How to Evaluate Lateral Surface Area of Solid of Revolution given Total Surface Area?

Lateral Surface Area of Solid of Revolution given Total Surface Area evaluator uses 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) to evaluate the Lateral Surface Area of Solid of Revolution, Lateral Surface Area of Solid of Revolution given Total Surface Area formula is defined as the total quantity of two dimensional space enclosed on the lateral surface of the Solid of Revolution, calculated using its total surface area. Lateral Surface Area of Solid of Revolution is denoted by LSA symbol.

How to evaluate Lateral Surface Area of Solid of Revolution given Total Surface Area using this online evaluator? To use this online evaluator for Lateral Surface Area of Solid of Revolution given Total Surface Area, enter Total Surface Area of Solid of Revolution (TSA), 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 Total Surface Area

What is the formula to find Lateral Surface Area of Solid of Revolution given Total Surface Area?
The formula of Lateral Surface Area of Solid of Revolution given Total Surface Area is expressed as 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). Here is an example- 2372.567 = 5200-(((10+20)^2)*pi).
How to calculate Lateral Surface Area of Solid of Revolution given Total Surface Area?
With Total Surface Area of Solid of Revolution (TSA), 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 Total Surface Area using the formula - 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). 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=(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)OpenImg
Can the Lateral Surface Area of Solid of Revolution given Total Surface Area be negative?
No, the Lateral Surface Area of Solid of Revolution given Total Surface Area, measured in Area cannot be negative.
Which unit is used to measure Lateral Surface Area of Solid of Revolution given Total Surface Area?
Lateral Surface Area of Solid of Revolution given Total Surface Area 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 Total Surface Area can be measured.
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