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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
rBase=hSlant2-h2
rBase - Base Radius of Cone?hSlant - Slant Height of Cone?h - Height of Cone?

Base Radius of Cone given Slant Height Example

With values
With units
Only example

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

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

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

9.798Edit=11Edit2-5Edit2
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Base Radius of Cone given Slant Height Solution

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

FIRST Step Consider the formula
rBase=hSlant2-h2
Next Step Substitute values of Variables
rBase=11m2-5m2
Next Step Prepare to Evaluate
rBase=112-52
Next Step Evaluate
rBase=9.79795897113271m
LAST Step Rounding Answer
rBase=9.798m

Base Radius of Cone given Slant Height Formula Elements

Variables
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: rBase
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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: hSlant
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Height of Cone
Height of Cone is defined as the distance between the apex of the Cone to the center of its circular base.
Symbol: h
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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
rBase=ABaseπ
​Go Base Radius of Cone given Lateral Surface Area and Slant Height
rBase=LSAπhSlant
​Go Base Radius of Cone given Total Surface Area and Slant Height
rBase=12(hSlant2+4TSAπ-hSlant)
​Go Base Radius of Cone given Volume
rBase=3Vπh

How to Evaluate Base Radius of Cone given Slant Height?

Base Radius of Cone given Slant Height evaluator uses Base Radius of Cone = sqrt(Slant Height of Cone^2-Height of Cone^2) to evaluate the Base Radius of Cone, The Base Radius 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 Cone, and calculated using the slant height of the Cone. Base Radius of Cone is denoted by rBase symbol.

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

FAQs on Base Radius of Cone given Slant Height

What is the formula to find Base Radius of Cone given Slant Height?
The formula of Base Radius of Cone given Slant Height is expressed as Base Radius of Cone = sqrt(Slant Height of Cone^2-Height of Cone^2). Here is an example- 9.797959 = sqrt(11^2-5^2).
How to calculate Base Radius of Cone given Slant Height?
With Slant Height of Cone (hSlant) & Height of Cone (h) we can find Base Radius of Cone given Slant Height using the formula - Base Radius of Cone = sqrt(Slant Height of Cone^2-Height of Cone^2). This formula also uses 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)OpenImg
  • Base Radius of Cone=Lateral Surface Area of Cone/(pi*Slant Height of Cone)OpenImg
  • Base Radius of Cone=1/2*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone)OpenImg
Can the Base Radius of Cone given Slant Height be negative?
No, the Base Radius of Cone given Slant Height, measured in Length cannot be negative.
Which unit is used to measure Base Radius of Cone given Slant Height?
Base Radius 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 Cone given Slant Height can be measured.
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