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

GoTop Radius of Frustum of Cone given Top Area Formula

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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. Check FAQs

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

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

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

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

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

9.1694 = \sqrt{9^{2} - 8^{2}} + \sqrt{\frac{80}{3.1416}}

9.1694m = \sqrt{{9m}^{2} - {8m}^{2}} + \sqrt{\frac{80m²}{3.1416}}

9.1694 = \sqrt{9^{2} - 8^{2}} + \sqrt{\frac{80}{3.1416}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r Top = \sqrt{{9m}^{2} - {8m}^{2}} + \sqrt{\frac{80m²}{π}}

Next Step Substitute values of Constants

∴

r Top = \sqrt{{9m}^{2} - {8m}^{2}} + \sqrt{\frac{80m²}{3.1416}}

Next Step Prepare to Evaluate

∴

r Top = \sqrt{9^{2} - 8^{2}} + \sqrt{\frac{80}{3.1416}}

Next Step Evaluate

∴

r Top = 9.16937066965798m

LAST Step Rounding Answer

∴

r Top = 9.1694m

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

Variables

Constants

Functions

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

Base Area of Frustum of Cone

The Base Area of Frustum of Cone is the total amount of two-dimensional space occupied by the base face of the Frustum of the Cone.

Symbol: A_Base

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Base Area 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 Top Radius of Frustum of Cone

Go Top Radius of Frustum of Cone given Top Area

r Top = \sqrt{\frac{A Top}{π}}

Other formulas in Top Radius of Frustum of Cone category

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

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

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

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

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

The formula of Top Radius of Frustum of Cone given Slant Height and Base Area is expressed as Top Radius of Frustum of Cone = sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+sqrt(Base Area of Frustum of Cone/pi). Here is an example- 9.169371 = sqrt(9^2-8^2)+sqrt(80/pi).

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

With Slant Height of Frustum of Cone (h_Slant), Height of Frustum of Cone (h) & Base Area of Frustum of Cone (A_Base) we can find Top Radius of Frustum of Cone given Slant Height and Base Area using the formula - Top Radius of Frustum of Cone = sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+sqrt(Base Area of Frustum of Cone/pi). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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

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

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

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

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

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

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

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

​GoTop Radius of Frustum of Cone given Top Area Formula

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

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

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

Other Formulas to find Top Radius of Frustum of Cone

Other formulas in Top Radius of Frustum of Cone category

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

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

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GoTop Radius of Frustum of Cone given Top Area Formula