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

STEP 0: Pre-Calculation Summary
Formula Used
Base Radius of Cone = Lateral Surface Area of Cone/(pi*Slant Height of Cone)
rBase = LSA/(pi*hSlant)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Base Radius of Cone - (Measured in Meter) - 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.
Lateral Surface Area of Cone - (Measured in Square Meter) - Lateral Surface Area of Cone is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone.
Slant Height of Cone - (Measured in Meter) - 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.
STEP 1: Convert Input(s) to Base Unit
Lateral Surface Area of Cone: 350 Square Meter --> 350 Square Meter No Conversion Required
Slant Height of Cone: 11 Meter --> 11 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rBase = LSA/(pi*hSlant) --> 350/(pi*11)
Evaluating ... ...
rBase = 10.1280418331206
STEP 3: Convert Result to Output's Unit
10.1280418331206 Meter --> No Conversion Required
FINAL ANSWER
10.1280418331206 10.12804 Meter <-- Base Radius of Cone
(Calculation completed in 00.004 seconds)

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Created by Nayana Phulphagar
Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
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IIT Madras (IIT Madras), Chennai
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Base Radius of Cone Calculators

Base Radius of Cone given Total Surface Area and Slant Height
​ LaTeX ​ Go Base Radius of Cone = 1/2*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone)
Base Radius of Cone given Volume
​ LaTeX ​ Go Base Radius of Cone = sqrt((3*Volume of Cone)/(pi*Height of Cone))
Base Radius of Cone given Lateral Surface Area and Slant Height
​ LaTeX ​ Go Base Radius of Cone = Lateral Surface Area of Cone/(pi*Slant Height of Cone)
Base Radius of Cone given Base Area
​ LaTeX ​ Go Base Radius of Cone = sqrt(Base Area of Cone/pi)

Base Radius of Cone Calculators

Base Radius of Cone given Total Surface Area and Slant Height
​ LaTeX ​ Go Base Radius of Cone = 1/2*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone)
Base Radius of Cone given Volume
​ LaTeX ​ Go Base Radius of Cone = sqrt((3*Volume of Cone)/(pi*Height of Cone))
Base Radius of Cone given Lateral Surface Area and Slant Height
​ LaTeX ​ Go Base Radius of Cone = Lateral Surface Area of Cone/(pi*Slant Height of Cone)
Base Radius of Cone given Base Area
​ LaTeX ​ Go Base Radius of Cone = sqrt(Base Area of Cone/pi)

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

​LaTeX ​Go
Base Radius of Cone = Lateral Surface Area of Cone/(pi*Slant Height of Cone)
rBase = LSA/(pi*hSlant)

What is a Cone?

A Cone is obtained by rotating a line inclined at a fixed acute angle from a fixed axis of rotation. The sharp tip is called the apex of the Cone. If the rotating line is crossing the axis of rotation, then the resulting shape is a double-napped Cone - two oppositely placed Cones joined on the apex. Cutting a Cone by a plane will result in some important two-dimensional shapes like circles, ellipses, parabolas, and hyperbolas, depending on the angle of cutting.

How to Calculate Base Radius of Cone given Lateral Surface Area and Slant Height?

Base Radius of Cone given Lateral Surface Area and Slant Height calculator uses Base Radius of Cone = Lateral Surface Area of Cone/(pi*Slant Height of Cone) to calculate the Base Radius of Cone, Base Radius of Cone given Lateral 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 lateral surface area and slant height of the Cone. Base Radius of Cone is denoted by rBase symbol.

How to calculate Base Radius of Cone given Lateral Surface Area and Slant Height using this online calculator? To use this online calculator for Base Radius of Cone given Lateral Surface Area and Slant Height, enter Lateral Surface Area of Cone (LSA) & Slant Height of Cone (hSlant) and hit the calculate button. Here is how the Base Radius of Cone given Lateral Surface Area and Slant Height calculation can be explained with given input values -> 10.12804 = 350/(pi*11).

FAQ

What is Base Radius of Cone given Lateral Surface Area and Slant Height?
Base Radius of Cone given Lateral 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 lateral surface area and slant height of the Cone and is represented as rBase = LSA/(pi*hSlant) or Base Radius of Cone = Lateral Surface Area of Cone/(pi*Slant Height of Cone). Lateral Surface Area of Cone is defined as the total quantity of plane enclosed on the lateral curved surface of the 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.
How to calculate Base Radius of Cone given Lateral Surface Area and Slant Height?
Base Radius of Cone given Lateral 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 lateral surface area and slant height of the Cone is calculated using Base Radius of Cone = Lateral Surface Area of Cone/(pi*Slant Height of Cone). To calculate Base Radius of Cone given Lateral Surface Area and Slant Height, you need Lateral Surface Area of Cone (LSA) & Slant Height of Cone (hSlant). With our tool, you need to enter the respective value for Lateral Surface Area of Cone & Slant Height of Cone and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Base Radius of Cone?
In this formula, Base Radius of Cone uses Lateral Surface Area of Cone & Slant Height of Cone. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Base Radius of Cone = sqrt(Base Area of Cone/pi)
  • Base Radius of Cone = 1/2*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone)
  • Base Radius of Cone = sqrt((3*Volume of Cone)/(pi*Height of Cone))
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