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Total Surface Area of Solid of Revolution Formula

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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. Check FAQs
TSA=LSA+(((rTop+rBottom)2)⋅π)
TSA - Total Surface Area of Solid of Revolution?LSA - Lateral Surface Area of Solid of Revolution?rTop - Top Radius of Solid of Revolution?rBottom - Bottom Radius of Solid of Revolution?π - Archimedes' constant?

Total Surface Area of Solid of Revolution Example

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

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

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

5187.4334Edit=2360Edit+(((10Edit+20Edit)2)⋅3.1416)
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Total Surface Area of Solid of Revolution Solution

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

FIRST Step Consider the formula
TSA=LSA+(((rTop+rBottom)2)⋅π)
Next Step Substitute values of Variables
∴ TSA=2360m²+(((10m+20m)2)⋅π)
Next Step Substitute values of Constants
∴ TSA=2360m²+(((10m+20m)2)⋅3.1416)
Next Step Prepare to Evaluate
∴ TSA=2360+(((10+20)2)⋅3.1416)
Next Step Evaluate
∴TSA=5187.43338823081m²
LAST Step Rounding Answer
∴TSA=5187.4334m²

Total Surface Area of Solid of Revolution Formula Elements

Variables
Constants
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
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
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

How to Evaluate Total Surface Area of Solid of Revolution?

Total Surface Area of Solid of Revolution evaluator uses Total Surface Area 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) to evaluate the Total Surface Area of Solid of Revolution, Total Surface Area of Solid of Revolution formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Solid of Revolution. Total Surface Area of Solid of Revolution is denoted by TSA symbol.

How to evaluate Total Surface Area of Solid of Revolution using this online evaluator? To use this online evaluator for Total Surface Area of Solid of Revolution, enter Lateral Surface Area of Solid of Revolution (LSA), Top Radius of Solid of Revolution (rTop) & Bottom Radius of Solid of Revolution (rBottom) and hit the calculate button.

FAQs on Total Surface Area of Solid of Revolution

What is the formula to find Total Surface Area of Solid of Revolution?
The formula of Total Surface Area of Solid of Revolution is expressed as Total Surface Area 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). Here is an example- 5187.433 = 2360+(((10+20)^2)*pi).
How to calculate Total Surface Area of Solid of Revolution?
With Lateral Surface Area of Solid of Revolution (LSA), Top Radius of Solid of Revolution (rTop) & Bottom Radius of Solid of Revolution (rBottom) we can find Total Surface Area of Solid of Revolution using the formula - Total Surface Area 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). This formula also uses Archimedes' constant .
Can the Total Surface Area of Solid of Revolution be negative?
No, the Total Surface Area of Solid of Revolution, measured in Area cannot be negative.
Which unit is used to measure Total Surface Area of Solid of Revolution?
Total Surface Area of Solid of Revolution 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 Total Surface Area of Solid of Revolution can be measured.
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