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Lateral Surface Area of Cone Formula

GoLateral Surface Area of Cone given Height Formula

GoLateral Surface Area of Cone given Volume Formula

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Lateral Surface Area of Cone is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone. Check FAQs

LSA = π \cdot r Base \cdot h Slant

LSA - Lateral Surface Area of Cone?r_Base - Base Radius of Cone?h_Slant - Slant Height of Cone?π - Archimedes' constant?

Lateral Surface Area of Cone Example

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

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

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

345.5752 = 3.1416 \cdot 10 \cdot 11

345.5752m² = 3.1416 \cdot 10m \cdot 11m

345.5752 = 3.1416 \cdot 10 \cdot 11

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Lateral Surface Area of Cone Solution

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

FIRST Step Consider the formula

LSA = π \cdot r Base \cdot h Slant

Next Step Substitute values of Variables

∴

LSA = π \cdot 10m \cdot 11m

Next Step Substitute values of Constants

∴

LSA = 3.1416 \cdot 10m \cdot 11m

Next Step Prepare to Evaluate

∴

LSA = 3.1416 \cdot 10 \cdot 11

Next Step Evaluate

∴

LSA = 345.575191894877m²

LAST Step Rounding Answer

∴

LSA = 345.5752m²

Lateral Surface Area of Cone Formula Elements

Variables

Constants

Lateral Surface Area of Cone

Lateral Surface Area of Cone is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Cone

Base Radius of Cone

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

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Cone

Slant Height of Cone

Slant Height of Cone is the length of the line segment joining the apex of the Cone to any point on the circumference of the circular base of the Cone.

Symbol: h_Slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Height 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 Lateral Surface Area of Cone

Go Lateral Surface Area of Cone given Height

LSA = π \cdot r Base \cdot \sqrt{h^{2} + {r Base}^{2}}

Go Lateral Surface Area of Cone given Volume

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

Go Lateral Surface Area of Cone given Base Area and Slant Height

LSA = π \cdot \sqrt{\frac{A Base}{π}} \cdot h Slant

Go Lateral Surface Area of Cone given Base Circumference and Slant Height

LSA = \frac{C Base}{2} \cdot h Slant

Other formulas in Lateral Surface Area of Cone category

Go Base Area of Cone

A Base = π \cdot {r Base}^{2}

Go Base Area of Cone given Lateral Surface Area and Slant Height

A Base = π \cdot {(\frac{LSA}{π \cdot h Slant})}^{2}

Go Total Surface Area of Cone

TSA = π \cdot r Base \cdot (r Base + h Slant)

Go Total Surface Area of Cone given Base Area

TSA = (π \cdot r Base \cdot h Slant) + A Base

How to Evaluate Lateral Surface Area of Cone?

Lateral Surface Area of Cone evaluator uses Lateral Surface Area of Cone = pi*Base Radius of Cone*Slant Height of Cone to evaluate the Lateral Surface Area of Cone, Lateral Surface Area of Cone formula is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone. Lateral Surface Area of Cone is denoted by LSA symbol.

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

FAQs on Lateral Surface Area of Cone

What is the formula to find Lateral Surface Area of Cone?

The formula of Lateral Surface Area of Cone is expressed as Lateral Surface Area of Cone = pi*Base Radius of Cone*Slant Height of Cone. Here is an example- 345.5752 = pi*10*11.

How to calculate Lateral Surface Area of Cone?

With Base Radius of Cone (r_Base) & Slant Height of Cone (h_Slant) we can find Lateral Surface Area of Cone using the formula - Lateral Surface Area of Cone = pi*Base Radius of Cone*Slant Height of Cone. This formula also uses Archimedes' constant .

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

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

Lateral Surface Area of Cone=pi*Base Radius of Cone*sqrt(Height of Cone^2+Base Radius of Cone^2)
Lateral Surface Area of Cone=pi*Base Radius of Cone*sqrt(((3*Volume of Cone)/(pi*Base Radius of Cone^2))^2+Base Radius of Cone^2)
Lateral Surface Area of Cone=pi*sqrt(Base Area of Cone/pi)*Slant Height of Cone

Can the Lateral Surface Area of Cone be negative?

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

Which unit is used to measure Lateral Surface Area of Cone?

Lateral Surface Area of 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 Lateral Surface Area of Cone can be measured.

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Lateral Surface Area of Cone Formula

​GoLateral Surface Area of Cone given Height Formula

​GoLateral Surface Area of Cone given Volume Formula

Lateral Surface Area of Cone Example

Lateral Surface Area of Cone Solution

Lateral Surface Area of Cone Formula Elements

Other Formulas to find Lateral Surface Area of Cone

Other formulas in Lateral Surface Area of Cone category

How to Evaluate Lateral Surface Area of Cone?

FAQs on Lateral Surface Area of Cone

Variable Name

GoLateral Surface Area of Cone given Height Formula

GoLateral Surface Area of Cone given Volume Formula