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Height of Truncated Cone given Slant Height Formula

GoHeight of Truncated Cone given Volume Formula

GoHeight of Truncated Cone given Curved Surface Area Formula

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

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

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

Height of Truncated Cone given Slant Height Example

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

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

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

7.4162 = \sqrt{8^{2} - {(5 - 2)}^{2}}

7.4162m = \sqrt{{8m}^{2} - {(5m - 2m)}^{2}}

7.4162 = \sqrt{8^{2} - {(5 - 2)}^{2}}

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Height of Truncated Cone given Slant Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

h = 7.41619848709566m

LAST Step Rounding Answer

∴

h = 7.4162m

Height of Truncated Cone given Slant Height Formula Elements

Variables

Functions

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

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

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 Truncated Cone

Go Height of Truncated Cone given Volume

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

Go Height of Truncated Cone given Curved Surface Area

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

Go Height of Truncated Cone given Total Surface Area

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

How to Evaluate Height of Truncated Cone given Slant Height?

Height of Truncated Cone given Slant Height evaluator uses Height of Truncated Cone = sqrt(Slant Height of Truncated Cone^2-(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2) to evaluate the Height of Truncated Cone, The Height of Truncated Cone given Slant Height formula is defined as the vertical distance from the base circular surface to the top most point of the Truncated Cone, and calculated using the slant height of Truncated Cone. Height of Truncated Cone is denoted by h symbol.

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

FAQs on Height of Truncated Cone given Slant Height

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

The formula of Height of Truncated Cone given Slant Height is expressed as Height of Truncated Cone = sqrt(Slant Height of Truncated Cone^2-(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2). Here is an example- 7.416198 = sqrt(8^2-(5-2)^2).

How to calculate Height of Truncated Cone given Slant Height?

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

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

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

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

Can the Height of Truncated Cone given Slant Height be negative?

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

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

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

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: Value
: Unit

Height of Truncated Cone given Slant Height Formula

​GoHeight of Truncated Cone given Volume Formula

​GoHeight of Truncated Cone given Curved Surface Area Formula

Height of Truncated Cone given Slant Height Example

Height of Truncated Cone given Slant Height Solution

Height of Truncated Cone given Slant Height Formula Elements

Other Formulas to find Height of Truncated Cone

How to Evaluate Height of Truncated Cone given Slant Height?

FAQs on Height of Truncated Cone given Slant Height

Variable Name

GoHeight of Truncated Cone given Volume Formula

GoHeight of Truncated Cone given Curved Surface Area Formula