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

Total Surface Area of Cone given Slant Height and Base Area Example

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

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

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

661.0373Edit=(3.1416⋅315Edit⋅11Edit)+315Edit
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Total Surface Area of Cone given Slant Height and Base Area Solution

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

FIRST Step Consider the formula
TSA=(π⋅ABase⋅hSlant)+ABase
Next Step Substitute values of Variables
∴ TSA=(π⋅315m²⋅11m)+315m²
Next Step Substitute values of Constants
∴ TSA=(3.1416⋅315m²⋅11m)+315m²
Next Step Prepare to Evaluate
∴ TSA=(3.1416⋅315⋅11)+315
Next Step Evaluate
∴TSA=661.037286996033m²
LAST Step Rounding Answer
∴TSA=661.0373m²

Total Surface Area of Cone given Slant Height and Base Area Formula Elements

Variables
Constants
Functions
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.
Formulas to find Total Surface Area of ConeOpen Variable
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.
Formulas to find Base Area of ConeOpen Variable
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.
Formulas to find Slant Height of ConeOpen 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
sqrt
A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
Syntax: sqrt(Number)

Other Formulas to find Total Surface Area of Cone

​Go Total Surface Area of Cone given Lateral Surface Area
TSA=LSA+(π⋅rBase2)
​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

How to Evaluate Total Surface Area of Cone given Slant Height and Base Area?

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

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

FAQs on Total Surface Area of Cone given Slant Height and Base Area

What is the formula to find Total Surface Area of Cone given Slant Height and Base Area?
The formula of Total Surface Area of Cone given Slant Height and Base Area is expressed as Total Surface Area of Cone = (sqrt(pi*Base Area of Cone)*Slant Height of Cone)+Base Area of Cone. Here is an example- 661.0373 = (sqrt(pi*315)*11)+315.
How to calculate Total Surface Area of Cone given Slant Height and Base Area?
With Base Area of Cone (ABase) & Slant Height of Cone (hSlant) we can find Total Surface Area of Cone given Slant Height and Base Area using the formula - Total Surface Area of Cone = (sqrt(pi*Base Area of Cone)*Slant Height of Cone)+Base Area of Cone. This formula also uses Archimedes' constant and Square Root (sqrt) function(s).
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=Lateral Surface Area of Cone+(pi*Base Radius of Cone^2)OpenImg
  • Total Surface Area of Cone=pi*Base Radius of Cone*(Base Radius of Cone+Slant Height of Cone)OpenImg
  • Total Surface Area of Cone=(pi*Base Radius of Cone*Slant Height of Cone)+Base Area of ConeOpenImg
Can the Total Surface Area of Cone given Slant Height and Base Area be negative?
No, the Total Surface Area of Cone given Slant Height and Base Area, measured in Area cannot be negative.
Which unit is used to measure Total Surface Area of Cone given Slant Height and Base Area?
Total Surface Area of Cone given Slant Height and 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 Slant Height and Base Area can be measured.
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