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Height of Cone given Lateral Surface Area and Base Area Formula

GoHeight of Cone given Volume Formula

GoHeight of Cone given Slant Height Formula

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

h = \sqrt{\frac{{LSA}^{2}}{π \cdot A Base} - \frac{A Base}{π}}

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

Height of Cone given Lateral Surface Area and Base Area Example

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

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

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

4.8497 = \sqrt{\frac{350^{2}}{3.1416 \cdot 315} - \frac{315}{3.1416}}

4.8497m = \sqrt{\frac{{350m²}^{2}}{3.1416 \cdot 315m²} - \frac{315m²}{3.1416}}

4.8497 = \sqrt{\frac{350^{2}}{3.1416 \cdot 315} - \frac{315}{3.1416}}

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Height of Cone given Lateral Surface Area and Base Area Solution

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

FIRST Step Consider the formula

h = \sqrt{\frac{{LSA}^{2}}{π \cdot A Base} - \frac{A Base}{π}}

Next Step Substitute values of Variables

∴

h = \sqrt{\frac{{350m²}^{2}}{π \cdot 315m²} - \frac{315m²}{π}}

Next Step Substitute values of Constants

∴

h = \sqrt{\frac{{350m²}^{2}}{3.1416 \cdot 315m²} - \frac{315m²}{3.1416}}

Next Step Prepare to Evaluate

∴

h = \sqrt{\frac{350^{2}}{3.1416 \cdot 315} - \frac{315}{3.1416}}

Next Step Evaluate

∴

h = 4.84969729080785m

LAST Step Rounding Answer

∴

h = 4.8497m

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

Variables

Constants

Functions

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

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

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 Height of Cone

Go Height of Cone given Volume

h = \frac{3 \cdot V}{π \cdot {r Base}^{2}}

Go Height of Cone given Slant Height

h = \sqrt{{h Slant}^{2} - {r Base}^{2}}

Go Height of Cone given Volume and Base Area

h = \frac{3 \cdot V}{A Base}

Go Height of Cone given Volume and Base Circumference

h = \frac{12 \cdot π \cdot V}{{C Base}^{2}}

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

Height of Cone given Lateral Surface Area and Base Area evaluator uses Height of Cone = sqrt(Lateral Surface Area of Cone^2/(pi*Base Area of Cone)-Base Area of Cone/pi) to evaluate the Height of Cone, The Height of Cone given Lateral Surface Area and Base Area formula is defined as the distance between the apex of the Cone to the center of the circular base and is calculated using the lateral surface area and base area of the Cone. Height of Cone is denoted by h symbol.

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

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

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

The formula of Height of Cone given Lateral Surface Area and Base Area is expressed as Height of Cone = sqrt(Lateral Surface Area of Cone^2/(pi*Base Area of Cone)-Base Area of Cone/pi). Here is an example- 4.849697 = sqrt(350^2/(pi*315)-315/pi).

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

With Lateral Surface Area of Cone (LSA) & Base Area of Cone (A_Base) we can find Height of Cone given Lateral Surface Area and Base Area using the formula - Height of Cone = sqrt(Lateral Surface Area of Cone^2/(pi*Base Area of Cone)-Base Area of Cone/pi). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Cone?

Here are the different ways to Calculate Height of Cone-

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

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

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

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

Height of Cone given Lateral Surface Area and Base Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Cone given Lateral Surface Area and Base Area can be measured.

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Height of Cone given Lateral Surface Area and Base Area Formula

​GoHeight of Cone given Volume Formula

​GoHeight of Cone given Slant Height Formula

Height of Cone given Lateral Surface Area and Base Area Example

Height of Cone given Lateral Surface Area and Base Area Solution

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

Other Formulas to find Height of Cone

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

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

Variable Name

GoHeight of Cone given Volume Formula

GoHeight of Cone given Slant Height Formula