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

GoLateral Surface Area of Cone Formula

GoLateral Surface Area of Cone given Height 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 \sqrt{\frac{A Base}{π}} \cdot h Slant

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

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

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Here is how the Lateral Surface Area of Cone given Base Area and Slant Height equation looks like with Values.

Here is how the Lateral Surface Area of Cone given Base Area and Slant Height equation looks like with Units.

Here is how the Lateral Surface Area of Cone given Base Area and Slant Height equation looks like.

346.0373 = 3.1416 \cdot \sqrt{\frac{315}{3.1416}} \cdot 11

346.0373m² = 3.1416 \cdot \sqrt{\frac{315m²}{3.1416}} \cdot 11m

346.0373 = 3.1416 \cdot \sqrt{\frac{315}{3.1416}} \cdot 11

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

Follow our step by step solution on how to calculate Lateral Surface Area of Cone given Base Area and Slant Height?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA = π \cdot \sqrt{\frac{315m²}{π}} \cdot 11m

Next Step Substitute values of Constants

∴

LSA = 3.1416 \cdot \sqrt{\frac{315m²}{3.1416}} \cdot 11m

Next Step Prepare to Evaluate

∴

LSA = 3.1416 \cdot \sqrt{\frac{315}{3.1416}} \cdot 11

Next Step Evaluate

∴

LSA = 346.037286996033m²

LAST Step Rounding Answer

∴

LSA = 346.0373m²

Lateral Surface Area of Cone given Base Area and Slant Height Formula Elements

Variables

Constants

Functions

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.

Base Area of Cone

Base Area of Cone is the total quantity of plane enclosed on the base circular surface of the Cone.

Symbol: A_Base

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

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.

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)

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Formula and 2000+ more formulas!

Verified by

Indian Institute of Technology (IIT), Mumbai

Aditya Ranjan has verified this Formula and 50+ more formulas!

Other Formulas to find Lateral Surface Area of Cone

Go Lateral Surface Area of Cone

LSA = π \cdot r Base \cdot h Slant

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 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 given Base Area and Slant Height?

Lateral Surface Area of Cone given Base Area and Slant Height evaluator uses Lateral Surface Area of Cone = pi*sqrt(Base Area of Cone/pi)*Slant Height of Cone to evaluate the Lateral Surface Area of Cone, Lateral Surface Area of Cone given Base Area and Slant Height formula is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone, and calculated using the base area and slant height of the Cone. Lateral Surface Area of Cone is denoted by LSA symbol.

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

FAQs on Lateral Surface Area of Cone given Base Area and Slant Height

What is the formula to find Lateral Surface Area of Cone given Base Area and Slant Height?

The formula of Lateral Surface Area of Cone given Base Area and Slant Height is expressed as Lateral Surface Area of Cone = pi*sqrt(Base Area of Cone/pi)*Slant Height of Cone. Here is an example- 346.0373 = pi*sqrt(315/pi)*11.

How to calculate Lateral Surface Area of Cone given Base Area and Slant Height?

With Base Area of Cone (A_Base) & Slant Height of Cone (h_Slant) we can find Lateral Surface Area of Cone given Base Area and Slant Height using the formula - Lateral Surface Area of Cone = pi*sqrt(Base Area of Cone/pi)*Slant Height of Cone. This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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*Slant Height 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)

Can the Lateral Surface Area of Cone given Base Area and Slant Height be negative?

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

Which unit is used to measure Lateral Surface Area of Cone given Base Area and Slant Height?

Lateral Surface Area of Cone given Base Area and 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 Lateral Surface Area of Cone given Base Area and Slant Height can be measured.

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

​GoLateral Surface Area of Cone Formula

​GoLateral Surface Area of Cone given Height Formula

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

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

Lateral Surface Area of Cone given Base Area and Slant Height Formula Elements

Credits

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 given Base Area and Slant Height?

FAQs on Lateral Surface Area of Cone given Base Area and Slant Height

Variable Name

GoLateral Surface Area of Cone Formula

GoLateral Surface Area of Cone given Height Formula