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Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius Formula

GoCurved Surface Area of Frustum of Cone given Slant Height, Height and Top Radius Formula

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

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

Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius Example

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

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

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

399.3214 = 3.1416 \cdot (\sqrt{9^{2} - 8^{2}} + 2 \cdot 5) \cdot 9

399.3214m² = 3.1416 \cdot (\sqrt{{9m}^{2} - {8m}^{2}} + 2 \cdot 5m) \cdot 9m

399.3214 = 3.1416 \cdot (\sqrt{9^{2} - 8^{2}} + 2 \cdot 5) \cdot 9

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Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

CSA = π \cdot (\sqrt{{9m}^{2} - {8m}^{2}} + 2 \cdot 5m) \cdot 9m

Next Step Substitute values of Constants

∴

CSA = 3.1416 \cdot (\sqrt{{9m}^{2} - {8m}^{2}} + 2 \cdot 5m) \cdot 9m

Next Step Prepare to Evaluate

∴

CSA = 3.1416 \cdot (\sqrt{9^{2} - 8^{2}} + 2 \cdot 5) \cdot 9

Next Step Evaluate

∴

CSA = 399.321403913818m²

LAST Step Rounding Answer

∴

CSA = 399.3214m²

Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius Formula Elements

Variables

Constants

Functions

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

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

Height of Frustum of Cone

Height of Frustum of Cone is the maximum vertical distance from the bottom to the top circular face of the Frustum of the Cone.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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

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 Frustum of Cone

Go Curved Surface Area of Frustum of Cone given Slant Height, Height and Top Radius

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

Go Curved Surface Area of Frustum of Cone given Slant Height, Base Area and Top Area

CSA = π \cdot (\sqrt{\frac{A Top}{π}} + \sqrt{\frac{A Base}{π}}) \cdot h Slant

Go Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Area

CSA = π \cdot (\sqrt{{h Slant}^{2} - h^{2}} + 2 \cdot \sqrt{\frac{A Base}{π}}) \cdot h Slant

Go Curved Surface Area of Frustum of Cone given Slant Height, Height and Top Area

CSA = π \cdot (2 \cdot \sqrt{\frac{A Top}{π}} - \sqrt{{h Slant}^{2} - h^{2}}) \cdot h Slant

How to Evaluate Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius?

Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius evaluator uses Curved Surface Area of Frustum of Cone = pi*(sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+2*Base Radius of Frustum of Cone)*Slant Height of Frustum of Cone to evaluate the Curved Surface Area of Frustum of Cone, The Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius 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, height 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, Height and Base Radius using this online evaluator? To use this online evaluator for Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius, enter Slant Height of Frustum of Cone (h_Slant), Height of Frustum of Cone (h) & Base Radius of Frustum of Cone (r_Base) and hit the calculate button.

FAQs on Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius

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

The formula of Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius is expressed as Curved Surface Area of Frustum of Cone = pi*(sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+2*Base Radius of Frustum of Cone)*Slant Height of Frustum of Cone. Here is an example- 399.3214 = pi*(sqrt(9^2-8^2)+2*5)*9.

How to calculate Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius?

With Slant Height of Frustum of Cone (h_Slant), Height of Frustum of Cone (h) & Base Radius of Frustum of Cone (r_Base) we can find Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius using the formula - Curved Surface Area of Frustum of Cone = pi*(sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+2*Base Radius of Frustum of Cone)*Slant Height of Frustum of Cone. This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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

Can the Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius be negative?

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

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

Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius 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, Height and Base Radius can be measured.

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Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius Formula

​GoCurved Surface Area of Frustum of Cone given Slant Height, Height and Top Radius Formula

​GoCurved Surface Area of Frustum of Cone given Slant Height, Base Area and Top Area Formula

Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius Example

Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius Solution

Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius Formula Elements

Other Formulas to find Curved Surface Area of Frustum of Cone

How to Evaluate Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius?

FAQs on Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius

Variable Name

GoCurved Surface Area of Frustum of Cone given Slant Height, Height and Top Radius Formula

GoCurved Surface Area of Frustum of Cone given Slant Height, Base Area and Top Area Formula