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Lateral Surface Area of Cone given Volume and Height 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{3 \cdot V}{π \cdot h} \cdot (h^{2} + \frac{3 \cdot V}{π \cdot h})}

LSA - Lateral Surface Area of Cone?V - Volume of Cone?h - Height of Cone?π - Archimedes' constant?

Lateral Surface Area of Cone given Volume and Height Example

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

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

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

349.0679 = 3.1416 \cdot \sqrt{\frac{3 \cdot 520}{3.1416 \cdot 5} \cdot (5^{2} + \frac{3 \cdot 520}{3.1416 \cdot 5})}

349.0679m² = 3.1416 \cdot \sqrt{\frac{3 \cdot 520m³}{3.1416 \cdot 5m} \cdot ({5m}^{2} + \frac{3 \cdot 520m³}{3.1416 \cdot 5m})}

349.0679 = 3.1416 \cdot \sqrt{\frac{3 \cdot 520}{3.1416 \cdot 5} \cdot (5^{2} + \frac{3 \cdot 520}{3.1416 \cdot 5})}

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Lateral Surface Area of Cone given Volume and Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA = π \cdot \sqrt{\frac{3 \cdot 520m³}{π \cdot 5m} \cdot ({5m}^{2} + \frac{3 \cdot 520m³}{π \cdot 5m})}

Next Step Substitute values of Constants

∴

LSA = 3.1416 \cdot \sqrt{\frac{3 \cdot 520m³}{3.1416 \cdot 5m} \cdot ({5m}^{2} + \frac{3 \cdot 520m³}{3.1416 \cdot 5m})}

Next Step Prepare to Evaluate

∴

LSA = 3.1416 \cdot \sqrt{\frac{3 \cdot 520}{3.1416 \cdot 5} \cdot (5^{2} + \frac{3 \cdot 520}{3.1416 \cdot 5})}

Next Step Evaluate

∴

LSA = 349.06793421625m²

LAST Step Rounding Answer

∴

LSA = 349.0679m²

Lateral Surface Area of Cone given Volume and 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

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

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 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 Height?

Lateral Surface Area of Cone given Volume and Height evaluator uses Lateral Surface Area of Cone = pi*sqrt((3*Volume of Cone)/(pi*Height of Cone)*(Height of Cone^2+(3*Volume of Cone)/(pi*Height of Cone))) to evaluate the Lateral Surface Area of Cone, The Lateral Surface Area of Cone given Volume and Height 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 height of the Cone. Lateral Surface Area of Cone is denoted by LSA symbol.

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

FAQs on Lateral Surface Area of Cone given Volume and Height

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

The formula of Lateral Surface Area of Cone given Volume and Height is expressed as Lateral Surface Area of Cone = pi*sqrt((3*Volume of Cone)/(pi*Height of Cone)*(Height of Cone^2+(3*Volume of Cone)/(pi*Height of Cone))). Here is an example- 349.0679 = pi*sqrt((3*520)/(pi*5)*(5^2+(3*520)/(pi*5))).

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

With Volume of Cone (V) & Height of Cone (h) we can find Lateral Surface Area of Cone given Volume and Height using the formula - Lateral Surface Area of Cone = pi*sqrt((3*Volume of Cone)/(pi*Height of Cone)*(Height of Cone^2+(3*Volume of Cone)/(pi*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*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 Height be negative?

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

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

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

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Lateral Surface Area of Cone given Volume and Height 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 Height Example

Lateral Surface Area of Cone given Volume and Height Solution

Lateral Surface Area of Cone given Volume and Height Formula Elements

Other Formulas to find Lateral Surface Area of Cone

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

FAQs on Lateral Surface Area of Cone given Volume and Height

Variable Name

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

GoLateral Surface Area of Cone Formula