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Slant Height of Truncated Cone Formula

GoSlant Height of Truncated Cone given Curved Surface Area Formula

GoSlant Height of Truncated Cone given Total Surface Area Formula

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Slant Height of Truncated Cone is the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone. Check FAQs

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

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

Slant Height of Truncated Cone Example

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

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

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

7.6158 = \sqrt{{(5 - 2)}^{2} + 7^{2}}

7.6158m = \sqrt{{(5m - 2m)}^{2} + {7m}^{2}}

7.6158 = \sqrt{{(5 - 2)}^{2} + 7^{2}}

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Slant Height of Truncated Cone Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h Slant = \sqrt{{(5m - 2m)}^{2} + {7m}^{2}}

Next Step Prepare to Evaluate

∴

h Slant = \sqrt{{(5 - 2)}^{2} + 7^{2}}

Next Step Evaluate

∴

h Slant = 7.61577310586391m

LAST Step Rounding Answer

∴

h Slant = 7.6158m

Slant Height of Truncated Cone Formula Elements

Variables

Functions

Slant Height of Truncated Cone

Slant Height of Truncated Cone is the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone.

Symbol: h_Slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Height of Truncated Cone

Base Radius of Truncated Cone

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

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Truncated Cone

Top Radius of Truncated Cone

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

Symbol: r_Top

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Radius of Truncated Cone

Height of Truncated Cone

Height of Truncated Cone is the vertical distance from the base circular surface to the top most point of the Truncated Cone.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Truncated 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 Truncated Cone

Go Slant Height of Truncated Cone given Curved Surface Area

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

Go Slant Height of Truncated Cone given Total Surface Area

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

Go Slant Height of Truncated Cone given Volume

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

How to Evaluate Slant Height of Truncated Cone?

Slant Height of Truncated Cone evaluator uses Slant Height of Truncated Cone = sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+Height of Truncated Cone^2) to evaluate the Slant Height of Truncated Cone, The Slant Height of Truncated Cone formula is defined as the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone. Slant Height of Truncated Cone is denoted by h_Slant symbol.

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

FAQs on Slant Height of Truncated Cone

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

The formula of Slant Height of Truncated Cone is expressed as Slant Height of Truncated Cone = sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+Height of Truncated Cone^2). Here is an example- 7.615773 = sqrt((5-2)^2+7^2).

How to calculate Slant Height of Truncated Cone?

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

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

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

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

Can the Slant Height of Truncated Cone be negative?

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

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

Slant Height of Truncated 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 Truncated Cone can be measured.

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Slant Height of Truncated Cone Formula

​GoSlant Height of Truncated Cone given Curved Surface Area Formula

​GoSlant Height of Truncated Cone given Total Surface Area Formula

Slant Height of Truncated Cone Example

Slant Height of Truncated Cone Solution

Slant Height of Truncated Cone Formula Elements

Other Formulas to find Slant Height of Truncated Cone

How to Evaluate Slant Height of Truncated Cone?

FAQs on Slant Height of Truncated Cone

Variable Name

GoSlant Height of Truncated Cone given Curved Surface Area Formula

GoSlant Height of Truncated Cone given Total Surface Area Formula