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Curved Surface Area of Truncated Cone given Slant Height Formula

GoCurved Surface Area of Truncated Cone Formula

GoCurved Surface Area of Truncated Cone given Volume Formula

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Curved Surface Area of Truncated Cone is the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) of the Truncated Cone. Check FAQs

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

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

Curved Surface Area of Truncated Cone given Slant Height Example

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

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

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

175.9292 = 3.1416 \cdot (5 + 2) \cdot 8

175.9292m² = 3.1416 \cdot (5m + 2m) \cdot 8m

175.9292 = 3.1416 \cdot (5 + 2) \cdot 8

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Curved Surface Area of Truncated Cone given Slant Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

CSA = π \cdot (5m + 2m) \cdot 8m

Next Step Substitute values of Constants

∴

CSA = 3.1416 \cdot (5m + 2m) \cdot 8m

Next Step Prepare to Evaluate

∴

CSA = 3.1416 \cdot (5 + 2) \cdot 8

Next Step Evaluate

∴

CSA = 175.929188601028m²

LAST Step Rounding Answer

∴

CSA = 175.9292m²

Curved Surface Area of Truncated Cone given Slant Height Formula Elements

Variables

Constants

Curved Surface Area of Truncated Cone

Curved Surface Area of Truncated Cone is the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) of the Truncated Cone.

Symbol: CSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Curved Surface Area of Truncated Cone

Base Radius of Truncated Cone

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

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Truncated Cone

Top Radius of Truncated Cone

Top Radius of Truncated Cone is the distance between the center and any point on the circumference of the top circular surface of the Truncated Cone.

Symbol: r_Top

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Radius of Truncated Cone

Slant Height of Truncated Cone

Slant Height of Truncated Cone is the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone.

Symbol: h_Slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Height of Truncated 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 Truncated Cone

Go Curved Surface Area of Truncated Cone

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

Go Curved Surface Area of Truncated Cone given Volume

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

Go Curved Surface Area of Truncated Cone given Total Surface Area

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

How to Evaluate Curved Surface Area of Truncated Cone given Slant Height?

Curved Surface Area of Truncated Cone given Slant Height evaluator uses Curved Surface Area of Truncated Cone = pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)*Slant Height of Truncated Cone to evaluate the Curved Surface Area of Truncated Cone, Curved Surface Area of Truncated Cone given Slant Height formula is defined as the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) of the Truncated Cone, and calculated using the slant height of Truncated Cone. Curved Surface Area of Truncated Cone is denoted by CSA symbol.

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

FAQs on Curved Surface Area of Truncated Cone given Slant Height

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

The formula of Curved Surface Area of Truncated Cone given Slant Height is expressed as Curved Surface Area of Truncated Cone = pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)*Slant Height of Truncated Cone. Here is an example- 175.9292 = pi*(5+2)*8.

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

With Base Radius of Truncated Cone (r_Base), Top Radius of Truncated Cone (r_Top) & Slant Height of Truncated Cone (h_Slant) we can find Curved Surface Area of Truncated Cone given Slant Height using the formula - Curved Surface Area of Truncated Cone = pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)*Slant Height of Truncated Cone. This formula also uses Archimedes' constant .

What are the other ways to Calculate Curved Surface Area of Truncated Cone?

Here are the different ways to Calculate Curved Surface Area of Truncated Cone-

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

Can the Curved Surface Area of Truncated Cone given Slant Height be negative?

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

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

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

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Curved Surface Area of Truncated Cone given Slant Height Formula

​GoCurved Surface Area of Truncated Cone Formula

​GoCurved Surface Area of Truncated Cone given Volume Formula

Curved Surface Area of Truncated Cone given Slant Height Example

Curved Surface Area of Truncated Cone given Slant Height Solution

Curved Surface Area of Truncated Cone given Slant Height Formula Elements

Other Formulas to find Curved Surface Area of Truncated Cone

How to Evaluate Curved Surface Area of Truncated Cone given Slant Height?

FAQs on Curved Surface Area of Truncated Cone given Slant Height

Variable Name

GoCurved Surface Area of Truncated Cone Formula

GoCurved Surface Area of Truncated Cone given Volume Formula