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

GoBase Radius of Frustum of Cone given Base Area Formula

GoBase Radius of Frustum of Cone given Slant Height 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 = \sqrt{\frac{A Top}{π}} - \sqrt{{h Slant}^{2} - h^{2}}

r_Base - Base Radius of Frustum of Cone?A_Top - Top Area of Frustum of Cone?h_Slant - Slant Height of Frustum of Cone?h - Height of Frustum of Cone?π - Archimedes' constant?

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

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

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

5.8903 = \sqrt{\frac{315}{3.1416}} - \sqrt{9^{2} - 8^{2}}

5.8903m = \sqrt{\frac{315m²}{3.1416}} - \sqrt{{9m}^{2} - {8m}^{2}}

5.8903 = \sqrt{\frac{315}{3.1416}} - \sqrt{9^{2} - 8^{2}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r Base = \sqrt{\frac{315m²}{π}} - \sqrt{{9m}^{2} - {8m}^{2}}

Next Step Substitute values of Constants

∴

r Base = \sqrt{\frac{315m²}{3.1416}} - \sqrt{{9m}^{2} - {8m}^{2}}

Next Step Prepare to Evaluate

∴

r Base = \sqrt{\frac{315}{3.1416}} - \sqrt{9^{2} - 8^{2}}

Next Step Evaluate

∴

r Base = 5.89026614156916m

LAST Step Rounding Answer

∴

r Base = 5.8903m

Base Radius of Frustum of Cone given Slant Height and Top Area Formula Elements

Variables

Constants

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 Area of Frustum of Cone

Top Area of Frustum of Cone is the total amount of two-dimensional space occupied by the top face of the Frustum of the Cone.

Symbol: A_Top

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Top Area 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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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}}

Go Base Radius of Frustum of Cone given Slant Height

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

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

Base Radius of Frustum of Cone given Slant Height and Top Area evaluator uses Base Radius of Frustum of Cone = sqrt(Top Area of Frustum of Cone/pi)-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 and Top Area 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, height, and top area 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 and Top Area using this online evaluator? To use this online evaluator for Base Radius of Frustum of Cone given Slant Height and Top Area, enter Top Area of Frustum of Cone (A_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 and Top Area

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

The formula of Base Radius of Frustum of Cone given Slant Height and Top Area is expressed as Base Radius of Frustum of Cone = sqrt(Top Area of Frustum of Cone/pi)-sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2). Here is an example- 5.890266 = sqrt(315/pi)-sqrt(9^2-8^2).

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

With Top Area of Frustum of Cone (A_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 and Top Area using the formula - Base Radius of Frustum of Cone = sqrt(Top Area of Frustum of Cone/pi)-sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2). This formula also uses Archimedes' constant and 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)
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)

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

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

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

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

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

​GoBase Radius of Frustum of Cone given Base Area Formula

​GoBase Radius of Frustum of Cone given Slant Height Formula

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

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

Base Radius of Frustum of Cone given Slant Height and Top Area Formula Elements

Other Formulas to find Base Radius of Frustum of Cone

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

FAQs on Base Radius of Frustum of Cone given Slant Height and Top Area

Variable Name

GoBase Radius of Frustum of Cone given Base Area Formula

GoBase Radius of Frustum of Cone given Slant Height Formula