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Height of Frustum of Cone given Slant Height Formula

GoHeight of Frustum of Cone given Curved Surface Area Formula

GoHeight of Frustum of Cone given Total Surface Area Formula

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

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

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

Height of Frustum of Cone given Slant Height Example

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

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

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

7.4833 = \sqrt{9^{2} - {(10 - 5)}^{2}}

7.4833m = \sqrt{{9m}^{2} - {(10m - 5m)}^{2}}

7.4833 = \sqrt{9^{2} - {(10 - 5)}^{2}}

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3D Geometry » fx Height of Frustum of Cone given Slant Height

Height of Frustum of Cone given Slant Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{{9m}^{2} - {(10m - 5m)}^{2}}

Next Step Prepare to Evaluate

∴

h = \sqrt{9^{2} - {(10 - 5)}^{2}}

Next Step Evaluate

∴

h = 7.48331477354788m

LAST Step Rounding Answer

∴

h = 7.4833m

Height of Frustum of Cone given Slant Height Formula Elements

Variables

Functions

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

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

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 Height of Frustum of Cone

Go Height of Frustum of Cone given Curved Surface Area

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

Go Height of Frustum of Cone given Total Surface Area

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

Go Height of Frustum of Cone given Volume

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

How to Evaluate Height of Frustum of Cone given Slant Height?

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

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

FAQs on Height of Frustum of Cone given Slant Height

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

The formula of Height of Frustum of Cone given Slant Height is expressed as Height of Frustum of Cone = sqrt(Slant Height of Frustum of Cone^2-(Top Radius of Frustum of Cone-Base Radius of Frustum of Cone)^2). Here is an example- 7.483315 = sqrt(9^2-(10-5)^2).

How to calculate Height of Frustum of Cone given Slant Height?

With Slant Height of Frustum of Cone (h_Slant), Top Radius of Frustum of Cone (r_Top) & Base Radius of Frustum of Cone (r_Base) we can find Height of Frustum of Cone given Slant Height using the formula - Height of Frustum of Cone = sqrt(Slant 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 Height of Frustum of Cone?

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

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

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

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

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

Height of Frustum of 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 Frustum of Cone given Slant Height can be measured.

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Height of Frustum of Cone given Slant Height Formula

​GoHeight of Frustum of Cone given Curved Surface Area Formula

​GoHeight of Frustum of Cone given Total Surface Area Formula

Height of Frustum of Cone given Slant Height Example

Height of Frustum of Cone given Slant Height Solution

Height of Frustum of Cone given Slant Height Formula Elements

Other Formulas to find Height of Frustum of Cone

How to Evaluate Height of Frustum of Cone given Slant Height?

FAQs on Height of Frustum of Cone given Slant Height

Variable Name

GoHeight of Frustum of Cone given Curved Surface Area Formula

GoHeight of Frustum of Cone given Total Surface Area Formula