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Base Radius of Frustum of Cone given Slant Height Formula

GoBase Radius of Frustum of Cone given Base Area Formula

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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. Check FAQs

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

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

Base Radius of Frustum of Cone given Slant Height Example

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

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

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

5.8769 = 10 - \sqrt{9^{2} - 8^{2}}

5.8769m = 10m - \sqrt{{9m}^{2} - {8m}^{2}}

5.8769 = 10 - \sqrt{9^{2} - 8^{2}}

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Base Radius of Frustum of Cone given Slant Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r Base = 10m - \sqrt{{9m}^{2} - {8m}^{2}}

Next Step Prepare to Evaluate

∴

r Base = 10 - \sqrt{9^{2} - 8^{2}}

Next Step Evaluate

∴

r Base = 5.87689437438234m

LAST Step Rounding Answer

∴

r Base = 5.8769m

Base Radius of Frustum of Cone given Slant Height Formula Elements

Variables

Functions

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

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

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

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 Base Radius of Frustum of Cone

Go Base Radius of Frustum of Cone given Base Area

r Base = \sqrt{\frac{A Base}{π}}

Other formulas in Base Radius of Frustum of Cone category

Go Top Radius of Frustum of Cone given Top Area

r Top = \sqrt{\frac{A Top}{π}}

Go Top Radius of Frustum of Cone given Slant Height and Base Area

r Top = \sqrt{{h Slant}^{2} - h^{2}} + \sqrt{\frac{A Base}{π}}

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

Base Radius of Frustum of Cone given Slant Height evaluator uses Base Radius of Frustum of Cone = Top Radius of Frustum of Cone-sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2) to evaluate the Base Radius of Frustum of Cone, The Base Radius of Frustum of Cone given Slant Height formula is defined as the distance between the center and any point on the circumference of the base circular surface of the Frustum of the Cone and calculated using the slant height of the Frustum of Cone. Base Radius of Frustum of Cone is denoted by r_Base symbol.

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

FAQs on Base Radius of Frustum of Cone given Slant Height

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

The formula of Base Radius of Frustum of Cone given Slant Height is expressed as Base Radius of Frustum of Cone = Top Radius of Frustum of Cone-sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2). Here is an example- 5.876894 = 10-sqrt(9^2-8^2).

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

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

What are the other ways to Calculate Base Radius of Frustum of Cone?

Here are the different ways to Calculate Base Radius of Frustum of Cone-

Base Radius of Frustum of Cone=sqrt(Base Area of Frustum of Cone/pi)

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

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

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

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

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Base Radius of Frustum of Cone given Slant Height Formula

​GoBase Radius of Frustum of Cone given Base Area Formula

Base Radius of Frustum of Cone given Slant Height Example

Base Radius of Frustum of Cone given Slant Height Solution

Base Radius of Frustum of Cone given Slant Height Formula Elements

Other Formulas to find Base Radius of Frustum of Cone

Other formulas in Base Radius of Frustum of Cone category

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

FAQs on Base Radius of Frustum of Cone given Slant Height

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GoBase Radius of Frustum of Cone given Base Area Formula