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Total Surface Area of Cone is defined as the total quantity of plane enclosed on the entire surface of the Cone. Check FAQs
TSA=LSA+(π⋅rBase2)
TSA - Total Surface Area of Cone?LSA - Lateral Surface Area of Cone?rBase - Base Radius of Cone?π - Archimedes' constant?

Total Surface Area of Cone given Lateral Surface Area Example

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

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

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

664.1593Edit=350Edit+(3.1416⋅10Edit2)
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Total Surface Area of Cone given Lateral Surface Area Solution

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

FIRST Step Consider the formula
TSA=LSA+(π⋅rBase2)
Next Step Substitute values of Variables
∴ TSA=350m²+(π⋅10m2)
Next Step Substitute values of Constants
∴ TSA=350m²+(3.1416⋅10m2)
Next Step Prepare to Evaluate
∴ TSA=350+(3.1416⋅102)
Next Step Evaluate
∴TSA=664.159265358979m²
LAST Step Rounding Answer
∴TSA=664.1593m²

Total Surface Area of Cone given Lateral Surface Area Formula Elements

Variables
Constants
Total Surface Area of Cone
Total Surface Area of Cone is defined as the total quantity of plane enclosed on the entire surface of the Cone.
Symbol: TSA
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Lateral Surface Area of Cone
Lateral Surface Area of Cone is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone.
Symbol: LSA
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Base Radius of Cone
Base Radius of Cone is defined as the distance between the center and any point on the circumference of the base circular surface of the Cone.
Symbol: rBase
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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

Credits

Creator Image
Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has created this Formula and 2000+ more formulas!
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Verified by
Indian Institute of Technology (IIT), Mumbai
Aditya Ranjan has verified this Formula and 50+ more formulas!

Other Formulas to find Total Surface Area of Cone

​Go Total Surface Area of Cone
TSA=π⋅rBase⋅(rBase+hSlant)
​Go Total Surface Area of Cone given Base Area
TSA=(π⋅rBase⋅hSlant)+ABase
​Go Total Surface Area of Cone given Lateral Surface Area and Base Area
TSA=LSA+ABase

Other formulas in Total Surface Area of Cone category

​Go Base Area of Cone
ABase=π⋅rBase2
​Go Base Area of Cone given Lateral Surface Area and Slant Height
ABase=π⋅(LSAπ⋅hSlant)2
​Go Lateral Surface Area of Cone
LSA=π⋅rBase⋅hSlant
​Go Lateral Surface Area of Cone given Height
LSA=π⋅rBase⋅h2+rBase2

How to Evaluate Total Surface Area of Cone given Lateral Surface Area?

Total Surface Area of Cone given Lateral Surface Area evaluator uses Total Surface Area of Cone = Lateral Surface Area of Cone+(pi*Base Radius of Cone^2) to evaluate the Total Surface Area of Cone, Total Surface Area of Cone given Lateral Surface Area formula is defined as the total quantity of plane enclosed on the entire surface of the Cone, and calculated using the lateral surface area of the Cone. Total Surface Area of Cone is denoted by TSA symbol.

How to evaluate Total Surface Area of Cone given Lateral Surface Area using this online evaluator? To use this online evaluator for Total Surface Area of Cone given Lateral Surface Area, enter Lateral Surface Area of Cone (LSA) & Base Radius of Cone (rBase) and hit the calculate button.

FAQs on Total Surface Area of Cone given Lateral Surface Area

What is the formula to find Total Surface Area of Cone given Lateral Surface Area?
The formula of Total Surface Area of Cone given Lateral Surface Area is expressed as Total Surface Area of Cone = Lateral Surface Area of Cone+(pi*Base Radius of Cone^2). Here is an example- 664.1593 = 350+(pi*10^2).
How to calculate Total Surface Area of Cone given Lateral Surface Area?
With Lateral Surface Area of Cone (LSA) & Base Radius of Cone (rBase) we can find Total Surface Area of Cone given Lateral Surface Area using the formula - Total Surface Area of Cone = Lateral Surface Area of Cone+(pi*Base Radius of Cone^2). This formula also uses Archimedes' constant .
What are the other ways to Calculate Total Surface Area of Cone?
Here are the different ways to Calculate Total Surface Area of Cone-
  • Total Surface Area of Cone=pi*Base Radius of Cone*(Base Radius of Cone+Slant Height of Cone)
  • Total Surface Area of Cone=(pi*Base Radius of Cone*Slant Height of Cone)+Base Area of Cone
  • Total Surface Area of Cone=Lateral Surface Area of Cone+Base Area of Cone
Can the Total Surface Area of Cone given Lateral Surface Area be negative?
No, the Total Surface Area of Cone given Lateral Surface Area, measured in Area cannot be negative.
Which unit is used to measure Total Surface Area of Cone given Lateral Surface Area?
Total Surface Area of Cone given Lateral 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 Total Surface Area of Cone given Lateral Surface Area can be measured.
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