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Curved Surface Area of Frustum of Cone is the quantity of plane enclosed by curved surfaces (that is, top and bottom faces are excluded) of the Frustum of the Cone. Check FAQs
CSA=TSA-(π⋅rTop2)-ABase
CSA - Curved Surface Area of Frustum of Cone?TSA - Total Surface Area of Frustum of Cone?rTop - Top Radius of Frustum of Cone?ABase - Base Area of Frustum of Cone?π - Archimedes' constant?

Curved Surface Area of Frustum of Cone given Total Surface Area and Base Area Example

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

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

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

455.8407Edit=850Edit-(3.1416⋅10Edit2)-80Edit
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Curved Surface Area of Frustum of Cone given Total Surface Area and Base Area Solution

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

FIRST Step Consider the formula
CSA=TSA-(π⋅rTop2)-ABase
Next Step Substitute values of Variables
∴ CSA=850m²-(π⋅10m2)-80m²
Next Step Substitute values of Constants
∴ CSA=850m²-(3.1416⋅10m2)-80m²
Next Step Prepare to Evaluate
∴ CSA=850-(3.1416⋅102)-80
Next Step Evaluate
∴CSA=455.840734641021m²
LAST Step Rounding Answer
∴CSA=455.8407m²

Curved Surface Area of Frustum of Cone given Total Surface Area and Base Area Formula Elements

Variables
Constants
Curved Surface Area of Frustum of Cone
Curved Surface Area of Frustum of Cone is the quantity of plane enclosed by curved surfaces (that is, top and bottom faces are excluded) of the Frustum of the Cone.
Symbol: CSA
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Curved Surface Area of Frustum of ConeOpen Variable
Total Surface Area of Frustum of Cone
Total Surface Area of Frustum of Cone is the total quantity of plane enclosed on the entire surface of the Frustum of the Cone.
Symbol: TSA
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Total Surface Area of Frustum of ConeOpen Variable
Top Radius of Frustum of Cone
Top Radius of Frustum of Cone is the distance between the center and any point on the circumference of the top circular surface of the Frustum of the Cone.
Symbol: rTop
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Top Radius of Frustum of ConeOpen Variable
Base Area of Frustum of Cone
The Base Area of Frustum of Cone is the total amount of two-dimensional space occupied by the base face of the Frustum of the Cone.
Symbol: ABase
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Base Area of Frustum 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

Other Formulas to find Curved Surface Area of Frustum of Cone

​Go Curved Surface Area of Frustum of Cone given Slant Height, Height and Top Radius
CSA=π⋅(2⋅rTop-hSlant2-h2)⋅hSlant
​Go Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius
CSA=π⋅(hSlant2-h2+2⋅rBase)⋅hSlant
​Go Curved Surface Area of Frustum of Cone given Slant Height, Base Area and Top Area
CSA=π⋅(ATopπ+ABaseπ)⋅hSlant
​Go Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Area
CSA=π⋅(hSlant2-h2+2⋅ABaseπ)⋅hSlant

How to Evaluate Curved Surface Area of Frustum of Cone given Total Surface Area and Base Area?

Curved Surface Area of Frustum of Cone given Total Surface Area and Base Area evaluator uses Curved Surface Area of Frustum of Cone = Total Surface Area of Frustum of Cone-(pi*Top Radius of Frustum of Cone^2)-Base Area of Frustum of Cone to evaluate the Curved Surface Area of Frustum of Cone, The Curved Surface Area of Frustum of Cone given Total Surface Area and Base Area formula is defined as the quantity of plane enclosed by curved surfaces (that is, top and bottom faces are excluded) of the Frustum of Cone, calculated using the total surface area, top radius and base area of the Frustum of Cone. Curved Surface Area of Frustum of Cone is denoted by CSA symbol.

How to evaluate Curved Surface Area of Frustum of Cone given Total Surface Area and Base Area using this online evaluator? To use this online evaluator for Curved Surface Area of Frustum of Cone given Total Surface Area and Base Area, enter Total Surface Area of Frustum of Cone (TSA), Top Radius of Frustum of Cone (rTop) & Base Area of Frustum of Cone (ABase) and hit the calculate button.

FAQs on Curved Surface Area of Frustum of Cone given Total Surface Area and Base Area

What is the formula to find Curved Surface Area of Frustum of Cone given Total Surface Area and Base Area?
The formula of Curved Surface Area of Frustum of Cone given Total Surface Area and Base Area is expressed as Curved Surface Area of Frustum of Cone = Total Surface Area of Frustum of Cone-(pi*Top Radius of Frustum of Cone^2)-Base Area of Frustum of Cone. Here is an example- 455.8407 = 850-(pi*10^2)-80.
How to calculate Curved Surface Area of Frustum of Cone given Total Surface Area and Base Area?
With Total Surface Area of Frustum of Cone (TSA), Top Radius of Frustum of Cone (rTop) & Base Area of Frustum of Cone (ABase) we can find Curved Surface Area of Frustum of Cone given Total Surface Area and Base Area using the formula - Curved Surface Area of Frustum of Cone = Total Surface Area of Frustum of Cone-(pi*Top Radius of Frustum of Cone^2)-Base Area of Frustum of Cone. This formula also uses Archimedes' constant .
What are the other ways to Calculate Curved Surface Area of Frustum of Cone?
Here are the different ways to Calculate Curved Surface Area of Frustum of Cone-
  • Curved Surface Area of Frustum of Cone=pi*(2*Top Radius of Frustum of Cone-sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2))*Slant Height of Frustum of ConeOpenImg
  • Curved Surface Area of Frustum of Cone=pi*(sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+2*Base Radius of Frustum of Cone)*Slant Height of Frustum of ConeOpenImg
  • Curved Surface Area of Frustum of Cone=pi*(sqrt(Top Area of Frustum of Cone/pi)+sqrt(Base Area of Frustum of Cone/pi))*Slant Height of Frustum of ConeOpenImg
Can the Curved Surface Area of Frustum of Cone given Total Surface Area and Base Area be negative?
No, the Curved Surface Area of Frustum of Cone given Total Surface Area and Base Area, measured in Area cannot be negative.
Which unit is used to measure Curved Surface Area of Frustum of Cone given Total Surface Area and Base Area?
Curved Surface Area of Frustum of Cone given Total Surface Area 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 Curved Surface Area of Frustum of Cone given Total Surface Area and Base Area can be measured.
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