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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=(π⋅rBase⋅hSlant)+ABase
TSA - Total Surface Area of Cone?rBase - Base Radius of Cone?hSlant - Slant Height of Cone?ABase - Base Area of Cone?π - Archimedes' constant?

Total Surface Area of Cone given Base Area Example

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

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

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

660.5752Edit=(3.1416⋅10Edit⋅11Edit)+315Edit
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Total Surface Area of Cone given Base Area Solution

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

FIRST Step Consider the formula
TSA=(π⋅rBase⋅hSlant)+ABase
Next Step Substitute values of Variables
∴ TSA=(π⋅10m⋅11m)+315m²
Next Step Substitute values of Constants
∴ TSA=(3.1416⋅10m⋅11m)+315m²
Next Step Prepare to Evaluate
∴ TSA=(3.1416⋅10⋅11)+315
Next Step Evaluate
∴TSA=660.575191894877m²
LAST Step Rounding Answer
∴TSA=660.5752m²

Total Surface Area of Cone given Base 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.
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.
Slant Height of Cone
Slant Height of Cone is the length of the line segment joining the apex of the Cone to any point on the circumference of the circular base of the Cone.
Symbol: hSlant
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Base Area of Cone
Base Area of Cone is the total quantity of plane enclosed on the base circular surface of the Cone.
Symbol: ABase
Measurement: AreaUnit: m²
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

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Created by Team Softusvista
Softusvista Office (Pune), India
Team Softusvista has created this Formula and 600+ more formulas!
Verifier Image
Verified by Himanshi Sharma
Bhilai Institute of Technology (BIT), Raipur
Himanshi Sharma has verified this Formula and 800+ 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 Lateral Surface Area
TSA=LSA+(π⋅rBase2)
​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 Base Area?

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

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

FAQs on Total Surface Area of Cone given Base Area

What is the formula to find Total Surface Area of Cone given Base Area?
The formula of Total Surface Area of Cone given Base Area is expressed as Total Surface Area of Cone = (pi*Base Radius of Cone*Slant Height of Cone)+Base Area of Cone. Here is an example- 660.5752 = (pi*10*11)+315.
How to calculate Total Surface Area of Cone given Base Area?
With Base Radius of Cone (rBase), Slant Height of Cone (hSlant) & Base Area of Cone (ABase) we can find Total Surface Area of Cone given Base Area using the formula - Total Surface Area of Cone = (pi*Base Radius of Cone*Slant Height of Cone)+Base Area of Cone. 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=Lateral Surface Area of Cone+(pi*Base Radius of Cone^2)
  • Total Surface Area of Cone=Lateral Surface Area of Cone+Base Area of Cone
Can the Total Surface Area of Cone given Base Area be negative?
No, the Total Surface Area of Cone given Base Area, measured in Area cannot be negative.
Which unit is used to measure Total Surface Area of Cone given Base Area?
Total Surface Area of Cone given Base 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 Base Area can be measured.
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