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Height of Cone given Lateral Surface Area and Base Circumference 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{2 \cdot LSA}{C Base})}^{2} - {(\frac{C Base}{2 \cdot π})}^{2}}

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

Height of Cone given Lateral Surface Area and Base Circumference Example

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

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

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

6.7024 = \sqrt{{(\frac{2 \cdot 350}{60})}^{2} - {(\frac{60}{2 \cdot 3.1416})}^{2}}

6.7024m = \sqrt{{(\frac{2 \cdot 350m²}{60m})}^{2} - {(\frac{60m}{2 \cdot 3.1416})}^{2}}

6.7024 = \sqrt{{(\frac{2 \cdot 350}{60})}^{2} - {(\frac{60}{2 \cdot 3.1416})}^{2}}

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Height of Cone given Lateral Surface Area and Base Circumference Solution

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

FIRST Step Consider the formula

h = \sqrt{{(\frac{2 \cdot LSA}{C Base})}^{2} - {(\frac{C Base}{2 \cdot π})}^{2}}

Next Step Substitute values of Variables

∴

h = \sqrt{{(\frac{2 \cdot 350m²}{60m})}^{2} - {(\frac{60m}{2 \cdot π})}^{2}}

Next Step Substitute values of Constants

∴

h = \sqrt{{(\frac{2 \cdot 350m²}{60m})}^{2} - {(\frac{60m}{2 \cdot 3.1416})}^{2}}

Next Step Prepare to Evaluate

∴

h = \sqrt{{(\frac{2 \cdot 350}{60})}^{2} - {(\frac{60}{2 \cdot 3.1416})}^{2}}

Next Step Evaluate

∴

h = 6.70239105342318m

LAST Step Rounding Answer

∴

h = 6.7024m

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

Base Circumference of Cone is the total length of the boundary of the base circular surface of the Cone.

Symbol: C_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Circumference 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 Circumference?

Height of Cone given Lateral Surface Area and Base Circumference evaluator uses Height of Cone = sqrt(((2*Lateral Surface Area of Cone)/Base Circumference of Cone)^2-(Base Circumference of Cone/(2*pi))^2) to evaluate the Height of Cone, The Height of Cone given Lateral Surface Area and Base Circumference 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 circumference of the Cone. Height of Cone is denoted by h symbol.

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

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

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

The formula of Height of Cone given Lateral Surface Area and Base Circumference is expressed as Height of Cone = sqrt(((2*Lateral Surface Area of Cone)/Base Circumference of Cone)^2-(Base Circumference of Cone/(2*pi))^2). Here is an example- 6.702391 = sqrt(((2*350)/60)^2-(60/(2*pi))^2).

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

With Lateral Surface Area of Cone (LSA) & Base Circumference of Cone (C_Base) we can find Height of Cone given Lateral Surface Area and Base Circumference using the formula - Height of Cone = sqrt(((2*Lateral Surface Area of Cone)/Base Circumference of Cone)^2-(Base Circumference of Cone/(2*pi))^2). 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 Circumference be negative?

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

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

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

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Height of Cone given Lateral Surface Area and Base Circumference Formula

​GoHeight of Cone given Volume Formula

​GoHeight of Cone given Slant Height Formula

Height of Cone given Lateral Surface Area and Base Circumference Example

Height of Cone given Lateral Surface Area and Base Circumference Solution

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

Other Formulas to find Height of Cone

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

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

Variable Name

GoHeight of Cone given Volume Formula

GoHeight of Cone given Slant Height Formula