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Base Radius of Cone given Total Surface Area and Slant Height Formula

GoBase Radius of Cone given Base Area Formula

GoBase Radius of Cone given Volume Formula

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Base Radius of Cone is defined as the distance between the center and any point on the circumference of the base circular surface of the Cone. Check FAQs

r Base = \frac{1}{2} \cdot (\sqrt{{h Slant}^{2} + \frac{4 \cdot TSA}{π}} - h Slant)

r_Base - Base Radius of Cone?h_Slant - Slant Height of Cone?TSA - Total Surface Area of Cone?π - Archimedes' constant?

Base Radius of Cone given Total Surface Area and Slant Height Example

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Here is how the Base Radius of Cone given Total Surface Area and Slant Height equation looks like with Values.

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

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

10.054 = \frac{1}{2} \cdot (\sqrt{11^{2} + \frac{4 \cdot 665}{3.1416}} - 11)

10.054m = \frac{1}{2} \cdot (\sqrt{{11m}^{2} + \frac{4 \cdot 665m²}{3.1416}} - 11m)

10.054 = \frac{1}{2} \cdot (\sqrt{11^{2} + \frac{4 \cdot 665}{3.1416}} - 11)

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Base Radius of Cone given Total Surface Area and Slant Height Solution

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

FIRST Step Consider the formula

r Base = \frac{1}{2} \cdot (\sqrt{{h Slant}^{2} + \frac{4 \cdot TSA}{π}} - h Slant)

Next Step Substitute values of Variables

∴

r Base = \frac{1}{2} \cdot (\sqrt{{11m}^{2} + \frac{4 \cdot 665m²}{π}} - 11m)

Next Step Substitute values of Constants

∴

r Base = \frac{1}{2} \cdot (\sqrt{{11m}^{2} + \frac{4 \cdot 665m²}{3.1416}} - 11m)

Next Step Prepare to Evaluate

∴

r Base = \frac{1}{2} \cdot (\sqrt{11^{2} + \frac{4 \cdot 665}{3.1416}} - 11)

Next Step Evaluate

∴

r Base = 10.0539729430207m

LAST Step Rounding Answer

∴

r Base = 10.054m

Base Radius of Cone given Total Surface Area and Slant Height Formula Elements

Variables

Constants

Functions

Base Radius of Cone

Base Radius of Cone is defined as the distance between the center and any point on the circumference of the base circular surface of the Cone.

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Cone

Slant Height of Cone

Slant Height of Cone is the length of the line segment joining the apex of the Cone to any point on the circumference of the circular base of the Cone.

Symbol: h_Slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Height of Cone

Total Surface Area of Cone

Total Surface Area of Cone is defined as the total quantity of plane enclosed on the entire surface of the Cone.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Cone

Go Base Radius of Cone given Base Area

r Base = \sqrt{\frac{A Base}{π}}

Go Base Radius of Cone given Volume

r Base = \sqrt{\frac{3 \cdot V}{π \cdot h}}

Go Base Radius of Cone given Lateral Surface Area and Slant Height

r Base = \frac{LSA}{π \cdot h Slant}

How to Evaluate Base Radius of Cone given Total Surface Area and Slant Height?

Base Radius of Cone given Total Surface Area and Slant Height evaluator uses Base Radius of Cone = 1/2*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone) to evaluate the Base Radius of Cone, Base Radius of Cone given Total Surface Area and Slant Height formula is defined as the distance between the center and any point on the circumference of the base circular surface of the Cone, and calculated using the total surface area and slant height of the Cone. Base Radius of Cone is denoted by r_Base symbol.

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

FAQs on Base Radius of Cone given Total Surface Area and Slant Height

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

The formula of Base Radius of Cone given Total Surface Area and Slant Height is expressed as Base Radius of Cone = 1/2*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone). Here is an example- 10.05397 = 1/2*(sqrt(11^2+(4*665)/pi)-11).

How to calculate Base Radius of Cone given Total Surface Area and Slant Height?

With Slant Height of Cone (h_Slant) & Total Surface Area of Cone (TSA) we can find Base Radius of Cone given Total Surface Area and Slant Height using the formula - Base Radius of Cone = 1/2*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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

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

Base Radius of Cone=sqrt(Base Area of Cone/pi)
Base Radius of Cone=sqrt((3*Volume of Cone)/(pi*Height of Cone))
Base Radius of Cone=Lateral Surface Area of Cone/(pi*Slant Height of Cone)

Can the Base Radius of Cone given Total Surface Area and Slant Height be negative?

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

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

Base Radius of Cone given Total Surface Area and 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 Cone given Total Surface Area and Slant Height can be measured.

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Base Radius of Cone given Total Surface Area and Slant Height Formula

​GoBase Radius of Cone given Base Area Formula

​GoBase Radius of Cone given Volume Formula

Base Radius of Cone given Total Surface Area and Slant Height Example

Base Radius of Cone given Total Surface Area and Slant Height Solution

Base Radius of Cone given Total Surface Area and Slant Height Formula Elements

Other Formulas to find Base Radius of Cone

How to Evaluate Base Radius of Cone given Total Surface Area and Slant Height?

FAQs on Base Radius of Cone given Total Surface Area and Slant Height

Variable Name

GoBase Radius of Cone given Base Area Formula

GoBase Radius of Cone given Volume Formula