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Lateral Surface Area of Cone given Height Formula

GoLateral Surface Area of Cone 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 \sqrt{h^{2} + {r Base}^{2}}

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

Lateral Surface Area of Cone given Height Example

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

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

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

351.2407 = 3.1416 \cdot 10 \cdot \sqrt{5^{2} + 10^{2}}

351.2407m² = 3.1416 \cdot 10m \cdot \sqrt{{5m}^{2} + {10m}^{2}}

351.2407 = 3.1416 \cdot 10 \cdot \sqrt{5^{2} + 10^{2}}

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Lateral Surface Area of Cone given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA = π \cdot 10m \cdot \sqrt{{5m}^{2} + {10m}^{2}}

Next Step Substitute values of Constants

∴

LSA = 3.1416 \cdot 10m \cdot \sqrt{{5m}^{2} + {10m}^{2}}

Next Step Prepare to Evaluate

∴

LSA = 3.1416 \cdot 10 \cdot \sqrt{5^{2} + 10^{2}}

Next Step Evaluate

∴

LSA = 351.240736552036m²

LAST Step Rounding Answer

∴

LSA = 351.2407m²

Lateral Surface Area of Cone given 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.

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

Height of Cone

Height of Cone is defined as the distance between the apex of the Cone to the center of its circular base.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find 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

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 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 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 given Height?

Lateral Surface Area of Cone given Height evaluator uses Lateral Surface Area of Cone = pi*Base Radius of Cone*sqrt(Height of Cone^2+Base Radius of Cone^2) to evaluate the Lateral Surface Area of Cone, The Lateral Surface Area of Cone given Height formula is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone and is calculated using the height of the Cone. Lateral Surface Area of Cone is denoted by LSA symbol.

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

FAQs on Lateral Surface Area of Cone given Height

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

The formula of Lateral Surface Area of Cone given Height is expressed as Lateral Surface Area of Cone = pi*Base Radius of Cone*sqrt(Height of Cone^2+Base Radius of Cone^2). Here is an example- 351.2407 = pi*10*sqrt(5^2+10^2).

How to calculate Lateral Surface Area of Cone given Height?

With Base Radius of Cone (r_Base) & Height of Cone (h) we can find Lateral Surface Area of Cone given Height using the formula - Lateral Surface Area of Cone = pi*Base Radius of Cone*sqrt(Height of Cone^2+Base Radius of Cone^2). 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(((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 given Height be negative?

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

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

Lateral Surface Area of Cone given 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 Height can be measured.

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Lateral Surface Area of Cone given Height Formula

​GoLateral Surface Area of Cone Formula

​GoLateral Surface Area of Cone given Volume Formula

Lateral Surface Area of Cone given Height Example

Lateral Surface Area of Cone given Height Solution

Lateral Surface Area of Cone given Height 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 given Height?

FAQs on Lateral Surface Area of Cone given Height

Variable Name

GoLateral Surface Area of Cone Formula

GoLateral Surface Area of Cone given Volume Formula