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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
rTop=hSlant2-h2+rBase
rTop - Top Radius of Frustum of Cone?hSlant - Slant Height of Frustum of Cone?h - Height of Frustum of Cone?rBase - Base Radius of Frustum of Cone?

Top Radius of Frustum of Cone given Slant Height Example

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

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

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

9.1231Edit=9Edit2-8Edit2+5Edit
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HomeIcon Home » Category Math » Category Geometry » Category 3D Geometry » fx Top Radius of Frustum of Cone given Slant Height

Top Radius of Frustum of Cone given Slant Height Solution

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

FIRST Step Consider the formula
rTop=hSlant2-h2+rBase
Next Step Substitute values of Variables
∴ rTop=9m2-8m2+5m
Next Step Prepare to Evaluate
∴ rTop=92-82+5
Next Step Evaluate
∴rTop=9.12310562561766m
LAST Step Rounding Answer
∴rTop=9.1231m

Top Radius of Frustum of Cone given Slant Height Formula Elements

Variables
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: rTop
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Top Radius of Frustum of ConeOpen Variable
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: hSlant
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Slant Height of Frustum of ConeOpen Variable
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 ConeOpen Variable
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: rBase
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Base Radius of Frustum of ConeOpen Variable
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 Slant Height and Base Area
rTop=hSlant2-h2+ABaseπ
​Go Top Radius of Frustum of Cone given Top Area
rTop=ATopπ

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

Top Radius of Frustum of Cone given Slant Height evaluator uses Top Radius of Frustum of Cone = sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+Base Radius of Frustum of Cone to evaluate the Top Radius of Frustum of Cone, The Top Radius of Frustum of Cone given Slant Height 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 of the Frustum of Cone. Top Radius of Frustum of Cone is denoted by rTop symbol.

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

FAQs on Top Radius of Frustum of Cone given Slant Height

What is the formula to find Top Radius of Frustum of Cone given Slant Height?
The formula of Top Radius of Frustum of Cone given Slant Height is expressed as Top Radius of Frustum of Cone = sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+Base Radius of Frustum of Cone. Here is an example- 9.123106 = sqrt(9^2-8^2)+5.
How to calculate Top Radius of Frustum of Cone given Slant Height?
With Slant Height of Frustum of Cone (hSlant), Height of Frustum of Cone (h) & Base Radius of Frustum of Cone (rBase) we can find Top Radius of Frustum of Cone given Slant Height using the formula - Top Radius of Frustum of Cone = sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+Base Radius of Frustum of Cone. This formula also uses 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(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+sqrt(Base Area of Frustum of Cone/pi)OpenImg
  • Top Radius of Frustum of Cone=sqrt(Top Area of Frustum of Cone/pi)OpenImg
Can the Top Radius of Frustum of Cone given Slant Height be negative?
No, the Top Radius of Frustum of Cone given Slant Height, measured in Length cannot be negative.
Which unit is used to measure Top Radius of Frustum of Cone given Slant Height?
Top Radius of Frustum 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 Top Radius of Frustum of Cone given Slant Height can be measured.
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