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Slant Height of Cone Formula

GoSlant Height of Cone given Lateral Surface Area Formula

GoSlant Height of Cone given Total Surface Area Formula

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Slant Height of Cone is the length of the line segment joining the apex of the Cone to any point on the circumference of the circular base of the Cone. Check FAQs

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

h_Slant - Slant Height of Cone?h - Height of Cone?r_Base - Base Radius of Cone?

Slant Height of Cone Example

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Here is how the Slant Height of Cone equation looks like with Values.

Here is how the Slant Height of Cone equation looks like with Units.

Here is how the Slant Height of Cone equation looks like.

11.1803 = \sqrt{5^{2} + 10^{2}}

11.1803m = \sqrt{{5m}^{2} + {10m}^{2}}

11.1803 = \sqrt{5^{2} + 10^{2}}

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Slant Height of Cone Solution

Follow our step by step solution on how to calculate Slant Height of Cone?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h Slant = \sqrt{{5m}^{2} + {10m}^{2}}

Next Step Prepare to Evaluate

∴

h Slant = \sqrt{5^{2} + 10^{2}}

Next Step Evaluate

∴

h Slant = 11.1803398874989m

LAST Step Rounding Answer

∴

h Slant = 11.1803m

Slant Height of Cone Formula Elements

Variables

Functions

Slant Height of Cone

Slant Height of Cone is the length of the line segment joining the apex of the Cone to any point on the circumference of the circular base of the Cone.

Symbol: h_Slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Height 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

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

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 Slant Height of Cone

Go Slant Height of Cone given Lateral Surface Area

h Slant = \frac{LSA}{π \cdot r Base}

Go Slant Height of Cone given Total Surface Area

h Slant = \frac{TSA}{π \cdot r Base} - r Base

Go Slant Height of Cone given Volume

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

How to Evaluate Slant Height of Cone?

Slant Height of Cone evaluator uses Slant Height of Cone = sqrt(Height of Cone^2+Base Radius of Cone^2) to evaluate the Slant Height of Cone, Slant Height of Cone formula is defined as the length of the line segment joining the apex of the Cone to any point on the circumference of the circular base of the Cone. Slant Height of Cone is denoted by h_Slant symbol.

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

FAQs on Slant Height of Cone

What is the formula to find Slant Height of Cone?

The formula of Slant Height of Cone is expressed as Slant Height of Cone = sqrt(Height of Cone^2+Base Radius of Cone^2). Here is an example- 11.18034 = sqrt(5^2+10^2).

How to calculate Slant Height of Cone?

With Height of Cone (h) & Base Radius of Cone (r_Base) we can find Slant Height of Cone using the formula - Slant Height of Cone = sqrt(Height of Cone^2+Base Radius of Cone^2). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Slant Height of Cone?

Here are the different ways to Calculate Slant Height of Cone-

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

Can the Slant Height of Cone be negative?

No, the Slant Height of Cone, measured in Length cannot be negative.

Which unit is used to measure Slant Height of Cone?

Slant Height of Cone is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Slant Height of Cone can be measured.

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Slant Height of Cone Formula

​GoSlant Height of Cone given Lateral Surface Area Formula

​GoSlant Height of Cone given Total Surface Area Formula

Slant Height of Cone Example

Slant Height of Cone Solution

Slant Height of Cone Formula Elements

Other Formulas to find Slant Height of Cone

How to Evaluate Slant Height of Cone?

FAQs on Slant Height of Cone

Variable Name

GoSlant Height of Cone given Lateral Surface Area Formula

GoSlant Height of Cone given Total Surface Area Formula