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Curved Surface Area of Truncated Cone Formula

GoCurved Surface Area of Truncated Cone given Slant Height 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 \sqrt{{(r Base - r Top)}^{2} + h^{2}}

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

Curved Surface Area of Truncated Cone Example

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

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

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

167.4796 = 3.1416 \cdot (5 + 2) \cdot \sqrt{{(5 - 2)}^{2} + 7^{2}}

167.4796m² = 3.1416 \cdot (5m + 2m) \cdot \sqrt{{(5m - 2m)}^{2} + {7m}^{2}}

167.4796 = 3.1416 \cdot (5 + 2) \cdot \sqrt{{(5 - 2)}^{2} + 7^{2}}

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Curved Surface Area of Truncated Cone Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

CSA = π \cdot (5m + 2m) \cdot \sqrt{{(5m - 2m)}^{2} + {7m}^{2}}

Next Step Substitute values of Constants

∴

CSA = 3.1416 \cdot (5m + 2m) \cdot \sqrt{{(5m - 2m)}^{2} + {7m}^{2}}

Next Step Prepare to Evaluate

∴

CSA = 3.1416 \cdot (5 + 2) \cdot \sqrt{{(5 - 2)}^{2} + 7^{2}}

Next Step Evaluate

∴

CSA = 167.479597885521m²

LAST Step Rounding Answer

∴

CSA = 167.4796m²

Curved Surface Area of Truncated Cone Formula Elements

Variables

Constants

Functions

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

Height of Truncated Cone

Height of Truncated Cone is the vertical distance from the base circular surface to the top most point of the Truncated Cone.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find 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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Curved Surface Area of Truncated Cone

Go Curved Surface Area of Truncated Cone given Slant Height

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

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?

Curved Surface Area of Truncated Cone evaluator uses 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) to evaluate the Curved Surface Area of Truncated Cone, The Curved Surface Area of Truncated Cone formula is defined as the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) of the Truncated Cone. Curved Surface Area of Truncated Cone is denoted by CSA symbol.

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

FAQs on Curved Surface Area of Truncated Cone

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

The formula of Curved Surface Area of Truncated Cone is expressed as 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). Here is an example- 167.4796 = pi*(5+2)*sqrt((5-2)^2+7^2).

How to calculate Curved Surface Area of Truncated Cone?

With Base Radius of Truncated Cone (r_Base), Top Radius of Truncated Cone (r_Top) & Height of Truncated Cone (h) we can find Curved Surface Area of Truncated Cone using the formula - 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). This formula also uses Archimedes' constant and Square Root Function function(s).

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)*Slant Height 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+((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 be negative?

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

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

Curved Surface Area of Truncated Cone 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 can be measured.

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Curved Surface Area of Truncated Cone Formula

​GoCurved Surface Area of Truncated Cone given Slant Height Formula

​GoCurved Surface Area of Truncated Cone given Volume Formula

Curved Surface Area of Truncated Cone Example

Curved Surface Area of Truncated Cone Solution

Curved Surface Area of Truncated Cone Formula Elements

Other Formulas to find Curved Surface Area of Truncated Cone

How to Evaluate Curved Surface Area of Truncated Cone?

FAQs on Curved Surface Area of Truncated Cone

Variable Name

GoCurved Surface Area of Truncated Cone given Slant Height Formula

GoCurved Surface Area of Truncated Cone given Volume Formula