Slant Height of Cone given Lateral Surface Area Calculator

✖Lateral Surface Area of Cone is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone.ⓘ Lateral Surface Area of Cone [LSA]			+10% -10%
✖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.ⓘ Base Radius of Cone [r_Base]			+10% -10%

✖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.ⓘ Slant Height of Cone given Lateral Surface Area [h_Slant]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Cone Formula PDF PDF Image

Slant Height of Cone given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slant Height of Cone = Lateral Surface Area of Cone/(pi*Base Radius of Cone)
h_Slant = LSA/(pi*r_Base)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Lateral Surface Area of Cone: 350 Square Meter --> 350 Square Meter No Conversion Required
Base Radius of Cone: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Slant = LSA/(pi*r_Base) --> 350/(pi*10)

Evaluating ... ...

h_Slant = 11.1408460164327

STEP 3: Convert Result to Output's Unit

11.1408460164327 Meter --> No Conversion Required

FINAL ANSWER

11.1408460164327 ≈ 11.14085 Meter <-- Slant Height of Cone

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Cone » Cone » Slant Height of Cone » Slant Height of Cone given Lateral Surface Area

Credits

Created by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has created this Calculator and 300+ more calculators!

Verified by Jaseem K

IIT Madras (IIT Madras), Chennai

Jaseem K has verified this Calculator and 100+ more calculators!

< Slant Height of Cone Calculators

Slant Height of Cone given Volume

LaTeX Go Slant Height of Cone = sqrt(((3*Volume of Cone)/(pi*Base Radius of Cone^2))^2+Base Radius of Cone^2)

Slant Height of Cone given Total Surface Area

LaTeX Go Slant Height of Cone = Total Surface Area of Cone/(pi*Base Radius of Cone)-Base Radius of Cone

Slant Height of Cone given Lateral Surface Area

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

Slant Height of Cone

LaTeX Go Slant Height of Cone = sqrt(Height of Cone^2+Base Radius of Cone^2)

< Slant Height of Cone Calculators

Slant Height of Cone given Volume

LaTeX Go Slant Height of Cone = sqrt(((3*Volume of Cone)/(pi*Base Radius of Cone^2))^2+Base Radius of Cone^2)

Slant Height of Cone given Total Surface Area

LaTeX Go Slant Height of Cone = Total Surface Area of Cone/(pi*Base Radius of Cone)-Base Radius of Cone

Slant Height of Cone given Lateral Surface Area

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

Slant Height of Cone

LaTeX Go Slant Height of Cone = sqrt(Height of Cone^2+Base Radius of Cone^2)

Slant Height of Cone given Lateral Surface Area Formula

LaTeX Go

Slant Height of Cone = Lateral Surface Area of Cone/(pi*Base Radius of Cone)
h_Slant = LSA/(pi*r_Base)

What is a Right Circular Cone?

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

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

Slant Height of Cone given Lateral Surface Area calculator uses Slant Height of Cone = Lateral Surface Area of Cone/(pi*Base Radius of Cone) to calculate the Slant Height of Cone, Slant Height of Cone given Lateral Surface Area formula is defined as 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, and calculated using the lateral surface area of the Cone. Slant Height of Cone is denoted by h_Slant symbol.

How to calculate Slant Height of Cone given Lateral Surface Area using this online calculator? To use this online calculator for Slant Height of Cone given Lateral Surface Area, enter Lateral Surface Area of Cone (LSA) & Base Radius of Cone (r_Base) and hit the calculate button. Here is how the Slant Height of Cone given Lateral Surface Area calculation can be explained with given input values -> 11.14085 = 350/(pi*10).

FAQ

What is Slant Height of Cone given Lateral Surface Area?

Slant Height of Cone given Lateral Surface Area formula is defined as 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, and calculated using the lateral surface area of the Cone and is represented as h_Slant = LSA/(pi*r_Base) or Slant Height of Cone = Lateral Surface Area of Cone/(pi*Base Radius of Cone). Lateral Surface Area of Cone is defined as the total quantity of plane enclosed on the lateral curved surface of the 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.

How to calculate Slant Height of Cone given Lateral Surface Area?

Slant Height of Cone given Lateral Surface Area formula is defined as 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, and calculated using the lateral surface area of the Cone is calculated using Slant Height of Cone = Lateral Surface Area of Cone/(pi*Base Radius of Cone). To calculate Slant Height of Cone given Lateral Surface Area, you need Lateral Surface Area of Cone (LSA) & Base Radius of Cone (r_Base). With our tool, you need to enter the respective value for Lateral Surface Area of Cone & Base Radius 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 Slant Height of Cone?

In this formula, Slant Height of Cone uses Lateral Surface Area of Cone & Base Radius of Cone. We can use 3 other way(s) to calculate the same, which is/are as follows -

Slant Height of Cone = Total Surface Area of Cone/(pi*Base Radius of Cone)-Base Radius of Cone
Slant Height of Cone = sqrt(Height of Cone^2+Base Radius of Cone^2)
Slant Height of Cone = sqrt(((3*Volume of Cone)/(pi*Base Radius of Cone^2))^2+Base Radius of Cone^2)

Home

FREE PDFs

🔍 Search