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Lateral Surface Area of Cone given Volume and Base Area Formula

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

GoLateral Surface Area of Cone 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 ({(\frac{3 \cdot V}{A Base})}^{2} + \frac{A Base}{π})}

LSA - Lateral Surface Area of Cone?A_Base - Base Area of Cone?V - Volume of Cone?π - Archimedes' constant?

Lateral Surface Area of Cone given Volume and Base Area Example

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

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

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

351.42 = 3.1416 \cdot \sqrt{\frac{315}{3.1416} \cdot ({(\frac{3 \cdot 520}{315})}^{2} + \frac{315}{3.1416})}

351.42m² = 3.1416 \cdot \sqrt{\frac{315m²}{3.1416} \cdot ({(\frac{3 \cdot 520m³}{315m²})}^{2} + \frac{315m²}{3.1416})}

351.42 = 3.1416 \cdot \sqrt{\frac{315}{3.1416} \cdot ({(\frac{3 \cdot 520}{315})}^{2} + \frac{315}{3.1416})}

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Lateral Surface Area of Cone given Volume and Base Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA = π \cdot \sqrt{\frac{315m²}{π} \cdot ({(\frac{3 \cdot 520m³}{315m²})}^{2} + \frac{315m²}{π})}

Next Step Substitute values of Constants

∴

LSA = 3.1416 \cdot \sqrt{\frac{315m²}{3.1416} \cdot ({(\frac{3 \cdot 520m³}{315m²})}^{2} + \frac{315m²}{3.1416})}

Next Step Prepare to Evaluate

∴

LSA = 3.1416 \cdot \sqrt{\frac{315}{3.1416} \cdot ({(\frac{3 \cdot 520}{315})}^{2} + \frac{315}{3.1416})}

Next Step Evaluate

∴

LSA = 351.420043884429m²

LAST Step Rounding Answer

∴

LSA = 351.42m²

Lateral Surface Area of Cone given Volume and Base Area 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 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.

Formulas to find Base Area of Cone

Volume of Cone

Volume of Cone is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cone.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 given Base Area and Slant Height

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

Go Lateral Surface Area of Cone

LSA = π \cdot r Base \cdot h Slant

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

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

Go Lateral Surface Area of Cone given Height

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

How to Evaluate Lateral Surface Area of Cone given Volume and Base Area?

Lateral Surface Area of Cone given Volume and Base Area evaluator uses Lateral Surface Area of Cone = pi*sqrt(Base Area of Cone/pi*(((3*Volume of Cone)/Base Area of Cone)^2+Base Area of Cone/pi)) to evaluate the Lateral Surface Area of Cone, The Lateral Surface Area of Cone given Volume and Base Area formula is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone and is calculated using the volume and base area of the Cone. Lateral Surface Area of Cone is denoted by LSA symbol.

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

FAQs on Lateral Surface Area of Cone given Volume and Base Area

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

The formula of Lateral Surface Area of Cone given Volume and Base Area is expressed as Lateral Surface Area of Cone = pi*sqrt(Base Area of Cone/pi*(((3*Volume of Cone)/Base Area of Cone)^2+Base Area of Cone/pi)). Here is an example- 351.42 = pi*sqrt(315/pi*(((3*520)/315)^2+315/pi)).

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

With Base Area of Cone (A_Base) & Volume of Cone (V) we can find Lateral Surface Area of Cone given Volume and Base Area using the formula - Lateral Surface Area of Cone = pi*sqrt(Base Area of Cone/pi*(((3*Volume of Cone)/Base Area of Cone)^2+Base Area of Cone/pi)). 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*sqrt(Base Area of Cone/pi)*Slant Height of Cone
Lateral Surface Area of Cone=pi*Base Radius of Cone*Slant Height of Cone
Lateral Surface Area of Cone=Base Circumference of Cone/2*Slant Height of Cone

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

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

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

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

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Lateral Surface Area of Cone given Volume and Base Area Formula

​GoLateral Surface Area of Cone given Base Area and Slant Height Formula

​GoLateral Surface Area of Cone Formula

Lateral Surface Area of Cone given Volume and Base Area Example

Lateral Surface Area of Cone given Volume and Base Area Solution

Lateral Surface Area of Cone given Volume and Base Area Formula Elements

Other Formulas to find Lateral Surface Area of Cone

How to Evaluate Lateral Surface Area of Cone given Volume and Base Area?

FAQs on Lateral Surface Area of Cone given Volume and Base Area

Variable Name

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

GoLateral Surface Area of Cone Formula