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

GoCurved Surface Area of Frustum of Cone Formula

GoCurved Surface Area of Frustum of Cone given Slant Height Formula

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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 \cdot ({r Top}^{2} + {r Base}^{2}))

CSA - Curved Surface Area of Frustum of Cone?TSA - Total 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?

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

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

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

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

457.3009 = 850 - (3.1416 \cdot (10^{2} + 5^{2}))

457.3009m² = 850m² - (3.1416 \cdot ({10m}^{2} + {5m}^{2}))

457.3009 = 850 - (3.1416 \cdot (10^{2} + 5^{2}))

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

CSA = 850m² - (π \cdot ({10m}^{2} + {5m}^{2}))

Next Step Substitute values of Constants

∴

CSA = 850m² - (3.1416 \cdot ({10m}^{2} + {5m}^{2}))

Next Step Prepare to Evaluate

∴

CSA = 850 - (3.1416 \cdot (10^{2} + 5^{2}))

Next Step Evaluate

∴

CSA = 457.300918301276m²

LAST Step Rounding Answer

∴

CSA = 457.3009m²

Curved Surface Area of Frustum of Cone given Total Surface 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 Cone

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

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 Curved Surface Area of Frustum of Cone

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

Go Curved Surface Area of Frustum of Cone given Volume

CSA = 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}}

Other formulas in Curved 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 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})

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

Curved Surface Area of Frustum of Cone given Total Surface 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 Radius of Frustum of Cone^2)) to evaluate the Curved Surface Area of Frustum of Cone, The Curved Surface Area of Frustum of Cone given Total Surface 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 radius 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 using this online evaluator? To use this online evaluator for Curved Surface Area of Frustum of Cone given Total Surface Area, enter Total Surface Area of Frustum of Cone (TSA), Top Radius of Frustum of Cone (r_Top) & Base Radius of Frustum of Cone (r_Base) and hit the calculate button.

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

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

The formula of Curved Surface Area of Frustum of Cone given Total Surface 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 Radius of Frustum of Cone^2)). Here is an example- 457.3009 = 850-(pi*(10^2+5^2)).

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

With Total Surface Area of Frustum of Cone (TSA), Top Radius of Frustum of Cone (r_Top) & Base Radius of Frustum of Cone (r_Base) we can find Curved Surface Area of Frustum of Cone given Total Surface 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 Radius of Frustum of Cone^2)). 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*(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)
Curved 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
Curved 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)

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

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

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

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

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

​GoCurved Surface Area of Frustum of Cone Formula

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

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

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

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

Other Formulas to find Curved Surface Area of Frustum of Cone

Other formulas in Curved Surface Area of Frustum of Cone category

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

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

Variable Name

GoCurved Surface Area of Frustum of Cone Formula

GoCurved Surface Area of Frustum of Cone given Slant Height Formula