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Total Surface Area of Frustum of Cone given Curved Surface Area Formula

GoTotal Surface Area of Frustum of Cone given Slant Height Formula

GoTotal Surface Area of Frustum of Cone Formula

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Total Surface Area of Frustum of Cone is the total quantity of plane enclosed on the entire surface of the Frustum of the Cone. Check FAQs

TSA = CSA + (π \cdot ({r Top}^{2} + {r Base}^{2}))

TSA - Total Surface Area of Frustum of Cone?CSA - Curved Surface Area of Frustum of Cone?r_Top - Top Radius of Frustum of Cone?r_Base - Base Radius of Frustum of Cone?π - Archimedes' constant?

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

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

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

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

842.6991 = 450 + (3.1416 \cdot (10^{2} + 5^{2}))

842.6991m² = 450m² + (3.1416 \cdot ({10m}^{2} + {5m}^{2}))

842.6991 = 450 + (3.1416 \cdot (10^{2} + 5^{2}))

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Total Surface Area of Frustum of Cone given Curved Surface Area Solution

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

FIRST Step Consider the formula

TSA = CSA + (π \cdot ({r Top}^{2} + {r Base}^{2}))

Next Step Substitute values of Variables

∴

TSA = 450m² + (π \cdot ({10m}^{2} + {5m}^{2}))

Next Step Substitute values of Constants

∴

TSA = 450m² + (3.1416 \cdot ({10m}^{2} + {5m}^{2}))

Next Step Prepare to Evaluate

∴

TSA = 450 + (3.1416 \cdot (10^{2} + 5^{2}))

Next Step Evaluate

∴

TSA = 842.699081698724m²

LAST Step Rounding Answer

∴

TSA = 842.6991m²

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

Variables

Constants

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 Cone

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 Cone

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: r_Top

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Radius of Frustum of Cone

Base Radius of Frustum of Cone

Base Radius of Frustum of Cone is the distance between the center and any point on the circumference of the base circular surface of the Frustum of the Cone.

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Frustum of Cone

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 Frustum of Cone

Go Total Surface Area of Frustum of Cone given Slant Height

TSA = π \cdot (((r Top + r Base) \cdot h Slant) + {r Top}^{2} + {r Base}^{2})

Go Total Surface Area of Frustum of Cone

TSA = π \cdot (((r Top + r Base) \cdot \sqrt{{(r Top - r Base)}^{2} + h^{2}}) + {r Top}^{2} + {r Base}^{2})

Go Total Surface Area of Frustum of Cone given Volume

TSA = π \cdot (((r Top + r Base) \cdot \sqrt{{(\frac{3 \cdot V}{π \cdot ({r Top}^{2} + {r Base}^{2} + (r Top \cdot r Base))})}^{2} + {(r Top - r Base)}^{2}}) + {r Top}^{2} + {r Base}^{2})

Other formulas in Total Surface Area of Frustum of Cone category

Go Base Area of Frustum of Cone

A Base = π \cdot {r Base}^{2}

Go Top Area of Frustum of Cone

A Top = π \cdot {r Top}^{2}

Go Curved Surface Area of Frustum of Cone

CSA = π \cdot (r Top + r Base) \cdot \sqrt{{(r Top - r Base)}^{2} + h^{2}}

Go Curved Surface Area of Frustum of Cone given Slant Height

CSA = π \cdot (r Top + r Base) \cdot h Slant

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

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

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

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

What is the formula to find Total Surface Area of Frustum of Cone given Curved Surface Area?

The formula of Total Surface Area of Frustum of Cone given Curved Surface Area is expressed as Total Surface Area of Frustum of Cone = Curved Surface Area of Frustum of Cone+(pi*(Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2)). Here is an example- 842.6991 = 450+(pi*(10^2+5^2)).

How to calculate Total Surface Area of Frustum of Cone given Curved Surface Area?

With Curved Surface Area of Frustum of Cone (CSA), Top Radius of Frustum of Cone (r_Top) & Base Radius of Frustum of Cone (r_Base) we can find Total Surface Area of Frustum of Cone given Curved Surface Area using the formula - Total Surface Area of Frustum of Cone = Curved Surface Area of Frustum of Cone+(pi*(Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Total Surface Area of Frustum of Cone?

Here are the different ways to Calculate Total Surface Area of Frustum of Cone-

Total Surface Area of Frustum of Cone=pi*(((Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*Slant Height of Frustum of Cone)+Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2)
Total Surface Area of Frustum of Cone=pi*(((Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*sqrt((Top Radius of Frustum of Cone-Base Radius of Frustum of Cone)^2+Height of Frustum of Cone^2))+Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2)
Total Surface Area of Frustum of Cone=pi*(((Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*sqrt(((3*Volume of Frustum of Cone)/(pi*(Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2+(Top Radius of Frustum of Cone*Base Radius of Frustum of Cone))))^2+(Top Radius of Frustum of Cone-Base Radius of Frustum of Cone)^2))+Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2)

Can the Total Surface Area of Frustum of Cone given Curved Surface Area be negative?

No, the Total Surface Area of Frustum of Cone given Curved Surface Area, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Frustum of Cone given Curved Surface Area?

Total Surface Area of Frustum of Cone given Curved 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 Frustum of Cone given Curved Surface Area can be measured.

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Total Surface Area of Frustum of Cone given Curved Surface Area Formula

​GoTotal Surface Area of Frustum of Cone given Slant Height Formula

​GoTotal Surface Area of Frustum of Cone Formula

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

Total Surface Area of Frustum of Cone given Curved Surface Area Solution

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

Other Formulas to find Total Surface Area of Frustum of Cone

Other formulas in Total Surface Area of Frustum of Cone category

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

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

Variable Name

GoTotal Surface Area of Frustum of Cone given Slant Height Formula

GoTotal Surface Area of Frustum of Cone Formula