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Curved Surface Area of Frustum of Cone given Slant Height Formula

GoCurved Surface Area of Frustum of Cone Formula

GoCurved Surface Area of Frustum of Cone given Total Surface Area 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 = π \cdot (r Top + r Base) \cdot h Slant

CSA - Curved Surface Area of Frustum of Cone?r_Top - Top Radius of Frustum of Cone?r_Base - Base Radius of Frustum of Cone?h_Slant - Slant Height of Frustum of Cone?π - Archimedes' constant?

Curved Surface Area of Frustum of Cone given Slant Height Example

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

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

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

424.115 = 3.1416 \cdot (10 + 5) \cdot 9

424.115m² = 3.1416 \cdot (10m + 5m) \cdot 9m

424.115 = 3.1416 \cdot (10 + 5) \cdot 9

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Curved Surface Area of Frustum of Cone given Slant Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

CSA = π \cdot (10m + 5m) \cdot 9m

Next Step Substitute values of Constants

∴

CSA = 3.1416 \cdot (10m + 5m) \cdot 9m

Next Step Prepare to Evaluate

∴

CSA = 3.1416 \cdot (10 + 5) \cdot 9

Next Step Evaluate

∴

CSA = 424.115008234622m²

LAST Step Rounding Answer

∴

CSA = 424.115m²

Curved Surface Area of Frustum of Cone given Slant Height 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

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

Slant Height of Frustum of Cone

The Slant Height of Frustum of Cone is the length of the line segment joining the extremities of two parallel radii, drawn in the same direction of the two circular bases.

Symbol: h_Slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Height 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 Total Surface Area

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

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 Slant Height?

Curved Surface Area of Frustum of Cone given Slant Height evaluator uses 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 to evaluate the Curved Surface Area of Frustum of Cone, Curved Surface Area of Frustum of Cone given Slant Height 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 slant height, 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 Slant Height using this online evaluator? To use this online evaluator for Curved Surface Area of Frustum of Cone given Slant Height, enter Top Radius of Frustum of Cone (r_Top), Base Radius of Frustum of Cone (r_Base) & Slant Height of Frustum of Cone (h_Slant) and hit the calculate button.

FAQs on Curved Surface Area of Frustum of Cone given Slant Height

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

The formula of Curved Surface Area of Frustum of Cone given Slant Height is expressed as 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. Here is an example- 424.115 = pi*(10+5)*9.

How to calculate Curved Surface Area of Frustum of Cone given Slant Height?

With Top Radius of Frustum of Cone (r_Top), Base Radius of Frustum of Cone (r_Base) & Slant Height of Frustum of Cone (h_Slant) we can find Curved Surface Area of Frustum of Cone given Slant Height using the formula - 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. 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=Total Surface Area of Frustum of Cone-(pi*(Top Radius of Frustum of Cone^2+Base Radius 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)*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 Slant Height be negative?

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

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

Curved Surface Area of Frustum of Cone given Slant Height 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 Slant Height can be measured.

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Curved Surface Area of Frustum of Cone given Slant Height Formula

​GoCurved Surface Area of Frustum of Cone Formula

​GoCurved Surface Area of Frustum of Cone given Total Surface Area Formula

Curved Surface Area of Frustum of Cone given Slant Height Example

Curved Surface Area of Frustum of Cone given Slant Height Solution

Curved Surface Area of Frustum of Cone given Slant Height 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 Slant Height?

FAQs on Curved Surface Area of Frustum of Cone given Slant Height

Variable Name

GoCurved Surface Area of Frustum of Cone Formula

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