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Base Radius of Cone given Total Surface Area and Lateral Surface Area Formula

GoBase Radius of Cone given Base Area Formula

GoBase Radius of Cone given Lateral Surface Area and Slant Height 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 = \sqrt{\frac{TSA - LSA}{π}}

r_Base - Base Radius of Cone?TSA - Total Surface Area of Cone?LSA - Lateral Surface Area of Cone?π - Archimedes' constant?

Base Radius of Cone given Total Surface Area and Lateral Surface Area Example

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

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

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

10.0134 = \sqrt{\frac{665 - 350}{3.1416}}

10.0134m = \sqrt{\frac{665m² - 350m²}{3.1416}}

10.0134 = \sqrt{\frac{665 - 350}{3.1416}}

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Base Radius of Cone given Total Surface Area and Lateral Surface Area Solution

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

FIRST Step Consider the formula

r Base = \sqrt{\frac{TSA - LSA}{π}}

Next Step Substitute values of Variables

∴

r Base = \sqrt{\frac{665m² - 350m²}{π}}

Next Step Substitute values of Constants

∴

r Base = \sqrt{\frac{665m² - 350m²}{3.1416}}

Next Step Prepare to Evaluate

∴

r Base = \sqrt{\frac{665 - 350}{3.1416}}

Next Step Evaluate

∴

r Base = 10.0133717671868m

LAST Step Rounding Answer

∴

r Base = 10.0134m

Base Radius of Cone given Total Surface Area and Lateral Surface Area 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

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

Lateral Surface Area of Cone

Lateral Surface Area of Cone is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral 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 Lateral Surface Area and Slant Height

r Base = \frac{LSA}{π \cdot h Slant}

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

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

Go Base Radius of Cone given Volume

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

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

Base Radius of Cone given Total Surface Area and Lateral Surface Area evaluator uses Base Radius of Cone = sqrt((Total Surface Area of Cone-Lateral Surface Area of Cone)/pi) to evaluate the Base Radius of Cone, The Base Radius of Cone given Total Surface Area and Lateral Surface Area 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 lateral surface area 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 Lateral Surface Area using this online evaluator? To use this online evaluator for Base Radius of Cone given Total Surface Area and Lateral Surface Area, enter Total Surface Area of Cone (TSA) & Lateral Surface Area of Cone (LSA) and hit the calculate button.

FAQs on Base Radius of Cone given Total Surface Area and Lateral Surface Area

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

The formula of Base Radius of Cone given Total Surface Area and Lateral Surface Area is expressed as Base Radius of Cone = sqrt((Total Surface Area of Cone-Lateral Surface Area of Cone)/pi). Here is an example- 10.01337 = sqrt((665-350)/pi).

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

With Total Surface Area of Cone (TSA) & Lateral Surface Area of Cone (LSA) we can find Base Radius of Cone given Total Surface Area and Lateral Surface Area using the formula - Base Radius of Cone = sqrt((Total Surface Area of Cone-Lateral Surface Area of Cone)/pi). 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=Lateral Surface Area of Cone/(pi*Slant Height of Cone)
Base Radius of Cone=1/2*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone)

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

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

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

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

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Base Radius of Cone given Total Surface Area and Lateral Surface Area Formula

​GoBase Radius of Cone given Base Area Formula

​GoBase Radius of Cone given Lateral Surface Area and Slant Height Formula

Base Radius of Cone given Total Surface Area and Lateral Surface Area Example

Base Radius of Cone given Total Surface Area and Lateral Surface Area Solution

Base Radius of Cone given Total Surface Area and Lateral Surface Area Formula Elements

Other Formulas to find Base Radius of Cone

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

FAQs on Base Radius of Cone given Total Surface Area and Lateral Surface Area

Variable Name

GoBase Radius of Cone given Base Area Formula

GoBase Radius of Cone given Lateral Surface Area and Slant Height Formula