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

Total Surface Area of Cone Example

With values
With units
Only example

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

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

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

659.7345Edit=3.141610Edit(10Edit+11Edit)
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Total Surface Area of Cone Solution

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

FIRST Step Consider the formula
TSA=πrBase(rBase+hSlant)
Next Step Substitute values of Variables
TSA=π10m(10m+11m)
Next Step Substitute values of Constants
TSA=3.141610m(10m+11m)
Next Step Prepare to Evaluate
TSA=3.141610(10+11)
Next Step Evaluate
TSA=659.734457253857
LAST Step Rounding Answer
TSA=659.7345

Total Surface Area of Cone 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:
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.
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 Total Surface Area of Cone

​Go Total Surface Area of Cone given Base Area
TSA=(πrBasehSlant)+ABase
​Go Total Surface Area of Cone given Lateral Surface Area
TSA=LSA+(πrBase2)
​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=πrBase2
​Go Base Area of Cone given Lateral Surface Area and Slant Height
ABase=π(LSAπhSlant)2
​Go Lateral Surface Area of Cone
LSA=πrBasehSlant
​Go Lateral Surface Area of Cone given Height
LSA=πrBaseh2+rBase2

How to Evaluate Total Surface Area of Cone?

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

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

FAQs on Total Surface Area of Cone

What is the formula to find Total Surface Area of Cone?
The formula of Total Surface Area of Cone is expressed as Total Surface Area of Cone = pi*Base Radius of Cone*(Base Radius of Cone+Slant Height of Cone). Here is an example- 659.7345 = pi*10*(10+11).
How to calculate Total Surface Area of Cone?
With Base Radius of Cone (rBase) & Slant Height of Cone (hSlant) we can find Total Surface Area of Cone using the formula - Total Surface Area of Cone = pi*Base Radius of Cone*(Base Radius of Cone+Slant Height 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*Slant Height of Cone)+Base Area of ConeOpenImg
  • Total Surface Area of Cone=Lateral Surface Area of Cone+(pi*Base Radius of Cone^2)OpenImg
  • Total Surface Area of Cone=Lateral Surface Area of Cone+Base Area of ConeOpenImg
Can the Total Surface Area of Cone be negative?
No, the Total Surface Area of Cone, measured in Area cannot be negative.
Which unit is used to measure Total Surface Area of Cone?
Total Surface Area of Cone 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 can be measured.
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