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Slant Height of Frustum of Cone Formula

GoSlant Height of Frustum of Cone given Curved Surface Area Formula

GoSlant Height of Frustum of Cone given Total Surface Area Formula

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The Slant Height of Frustum of Cone is the length of the line segment joining the extremities of two parallel radii, drawn in the same direction of the two circular bases. Check FAQs

h Slant = \sqrt{h^{2} + {(r Top - r Base)}^{2}}

h_Slant - Slant Height of Frustum of Cone?h - Height of Frustum of Cone?r_Top - Top Radius of Frustum of Cone?r_Base - Base Radius of Frustum of Cone?

Slant Height of Frustum of Cone Example

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

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

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

9.434 = \sqrt{8^{2} + {(10 - 5)}^{2}}

9.434m = \sqrt{{8m}^{2} + {(10m - 5m)}^{2}}

9.434 = \sqrt{8^{2} + {(10 - 5)}^{2}}

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Slant Height of Frustum of Cone Solution

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

FIRST Step Consider the formula

h Slant = \sqrt{h^{2} + {(r Top - r Base)}^{2}}

Next Step Substitute values of Variables

∴

h Slant = \sqrt{{8m}^{2} + {(10m - 5m)}^{2}}

Next Step Prepare to Evaluate

∴

h Slant = \sqrt{8^{2} + {(10 - 5)}^{2}}

Next Step Evaluate

∴

h Slant = 9.4339811320566m

LAST Step Rounding Answer

∴

h Slant = 9.434m

Slant Height of Frustum of Cone Formula Elements

Variables

Functions

Slant Height of Frustum of Cone

The Slant Height of Frustum of Cone is the length of the line segment joining the extremities of two parallel radii, drawn in the same direction of the two circular bases.

Symbol: h_Slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Height of Frustum of Cone

Height of Frustum of Cone

Height of Frustum of Cone is the maximum vertical distance from the bottom to the top circular face of the Frustum of the Cone.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Frustum of Cone

Top Radius of Frustum of Cone

Top Radius of Frustum of Cone is the distance between the center and any point on the circumference of the top circular surface of the Frustum of the Cone.

Symbol: r_Top

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Radius of Frustum of Cone

Base Radius of Frustum of Cone

Base Radius of Frustum of Cone is the distance between the center and any point on the circumference of the base circular surface of the Frustum of the Cone.

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Frustum 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 Frustum of Cone

Go Slant Height of Frustum of Cone given Curved Surface Area

h Slant = \frac{CSA}{π \cdot (r Top + r Base)}

Go Slant Height of Frustum of Cone given Total Surface Area

h Slant = \frac{\frac{TSA}{π} - ({r Top}^{2} + {r Base}^{2})}{r Top + r Base}

Go Slant Height of Frustum of Cone given Volume

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

How to Evaluate Slant Height of Frustum of Cone?

Slant Height of Frustum of Cone evaluator uses Slant Height of Frustum of Cone = sqrt(Height of Frustum of Cone^2+(Top Radius of Frustum of Cone-Base Radius of Frustum of Cone)^2) to evaluate the Slant Height of Frustum of Cone, Slant Height of Frustum of Cone formula is defined as the length of the line segment joining the extremities of two parallel radii, drawn in the same direction of the two circular bases of Frustum of Cone. Slant Height of Frustum of Cone is denoted by h_Slant symbol.

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

FAQs on Slant Height of Frustum of Cone

What is the formula to find Slant Height of Frustum of Cone?

The formula of Slant Height of Frustum of Cone is expressed as Slant Height of Frustum of Cone = sqrt(Height of Frustum of Cone^2+(Top Radius of Frustum of Cone-Base Radius of Frustum of Cone)^2). Here is an example- 9.433981 = sqrt(8^2+(10-5)^2).

How to calculate Slant Height of Frustum of Cone?

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

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

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

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

Can the Slant Height of Frustum of Cone be negative?

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

Which unit is used to measure Slant Height of Frustum of Cone?

Slant Height of Frustum 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 Frustum of Cone can be measured.

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Slant Height of Frustum of Cone Formula

​GoSlant Height of Frustum of Cone given Curved Surface Area Formula

​GoSlant Height of Frustum of Cone given Total Surface Area Formula

Slant Height of Frustum of Cone Example

Slant Height of Frustum of Cone Solution

Slant Height of Frustum of Cone Formula Elements

Other Formulas to find Slant Height of Frustum of Cone

How to Evaluate Slant Height of Frustum of Cone?

FAQs on Slant Height of Frustum of Cone

Variable Name

GoSlant Height of Frustum of Cone given Curved Surface Area Formula

GoSlant Height of Frustum of Cone given Total Surface Area Formula