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

STEP 0: Pre-Calculation Summary
Formula Used
Base Circumference of Cone = 2*Lateral Surface Area of Cone/Slant Height of Cone
CBase = 2*LSA/hSlant
This formula uses 3 Variables
Variables Used
Base Circumference of Cone - (Measured in Meter) - Base Circumference of Cone is the total length of the boundary 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
CBase = 2*LSA/hSlant --> 2*350/11
Evaluating ... ...
CBase = 63.6363636363636
STEP 3: Convert Result to Output's Unit
63.6363636363636 Meter --> No Conversion Required
FINAL ANSWER
63.6363636363636 63.63636 Meter <-- Base Circumference of Cone
(Calculation completed in 00.017 seconds)

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National Institute Of Technology (NIT), Hamirpur
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Base Circumference of Cone Calculators

Base Circumference of Cone given Volume
​ LaTeX ​ Go Base Circumference of Cone = 2*pi*sqrt((3*Volume of Cone)/(pi*Height of Cone))
Base Circumference of Cone given Base Area
​ LaTeX ​ Go Base Circumference of Cone = 2*sqrt(pi*Base Area of Cone)
Base Circumference of Cone given Lateral Surface Area and Slant Height
​ LaTeX ​ Go Base Circumference of Cone = 2*Lateral Surface Area of Cone/Slant Height of Cone
Base Circumference of Cone
​ LaTeX ​ Go Base Circumference of Cone = 2*pi*Base Radius of Cone

Base Circumference of Cone Calculators

Base Circumference of Cone given Volume
​ LaTeX ​ Go Base Circumference of Cone = 2*pi*sqrt((3*Volume of Cone)/(pi*Height of Cone))
Base Circumference of Cone given Base Area
​ LaTeX ​ Go Base Circumference of Cone = 2*sqrt(pi*Base Area of Cone)
Base Circumference of Cone given Lateral Surface Area and Slant Height
​ LaTeX ​ Go Base Circumference of Cone = 2*Lateral Surface Area of Cone/Slant Height of Cone
Base Circumference of Cone
​ LaTeX ​ Go Base Circumference of Cone = 2*pi*Base Radius of Cone

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

​LaTeX ​Go
Base Circumference of Cone = 2*Lateral Surface Area of Cone/Slant Height of Cone
CBase = 2*LSA/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 Circumference of Cone given Lateral Surface Area and Slant Height?

Base Circumference of Cone given Lateral Surface Area and Slant Height calculator uses Base Circumference of Cone = 2*Lateral Surface Area of Cone/Slant Height of Cone to calculate the Base Circumference of Cone, Base Circumference of Cone given Lateral Surface Area and Slant Height formula is defined as the total length of the boundary of the base circular surface of the Cone, and calculated using the lateral surface area and slant height of the Cone. Base Circumference of Cone is denoted by CBase symbol.

How to calculate Base Circumference of Cone given Lateral Surface Area and Slant Height using this online calculator? To use this online calculator for Base Circumference 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 Circumference of Cone given Lateral Surface Area and Slant Height calculation can be explained with given input values -> 63.63636 = 2*350/11.

FAQ

What is Base Circumference of Cone given Lateral Surface Area and Slant Height?
Base Circumference of Cone given Lateral Surface Area and Slant Height formula is defined as the total length of the boundary 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 CBase = 2*LSA/hSlant or Base Circumference of Cone = 2*Lateral Surface Area of Cone/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 Circumference of Cone given Lateral Surface Area and Slant Height?
Base Circumference of Cone given Lateral Surface Area and Slant Height formula is defined as the total length of the boundary 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 Circumference of Cone = 2*Lateral Surface Area of Cone/Slant Height of Cone. To calculate Base Circumference 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 Circumference of Cone?
In this formula, Base Circumference 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 Circumference of Cone = 2*pi*Base Radius of Cone
  • Base Circumference of Cone = 2*sqrt(pi*Base Area of Cone)
  • Base Circumference of Cone = 2*pi*sqrt((3*Volume of Cone)/(pi*Height of Cone))
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