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Lateral Surface Area of a Cone Solution

STEP 0: Pre-Calculation Summary
Formula Used
lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2)
LSA = pi*r*sqrt(r^2+h^2)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Centimeter)
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Radius: 18 Centimeter --> 0.18 Meter (Check conversion here)
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LSA = pi*r*sqrt(r^2+h^2) --> pi*0.18*sqrt(0.18^2+12^2)
Evaluating ... ...
LSA = 6.78660349583196
STEP 3: Convert Result to Output's Unit
6.78660349583196 Square Meter --> No Conversion Required
FINAL ANSWER
6.78660349583196 Square Meter <-- Lateral Surface Area
(Calculation completed in 00.031 seconds)

11 Other formulas that you can solve using the same Inputs

Volume of a Conical Frustum
volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go
Volume of a Capsule
volume = pi*(Radius)^2*((4/3)*Radius+Side) Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Area of a Circle when radius is given
area_of_circle = pi*Radius^2 Go
Volume of a Hemisphere
volume = (2/3)*pi*(Radius)^3 Go
Volume of a Sphere
volume = (4/3)*pi*(Radius)^3 Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Parallelogram when base and height are given
area = Base*Height Go

11 Other formulas that calculate the same Output

Lateral Surface Area of a Conical Frustum
lateral_surface_area = pi*(Radius 1+Radius 2)*sqrt((Radius 1-Radius 2)^2+Height^2) Go
Lateral surface area of a right square pyramid
lateral_surface_area = Length*sqrt(Length^2+4*Height^2) Go
Lateral Surface Area of a Pyramid
lateral_surface_area = Side*sqrt(Side^2+4*(Height)^2) Go
Lateral Surface area of a Triangular Prism
lateral_surface_area = (Side A+Side B+Side C)*Height Go
Lateral surface area of a cone given radius and generator
lateral_surface_area = pi*Radius*Generator of a cone Go
Lateral Surface Area of a Cylinder
lateral_surface_area = 2*pi*Radius*Height Go
Lateral surface area of a Right square pyramid when side length and slant height are given
lateral_surface_area = 2*Side*Slant Height Go
lateral surface area of Hexagonal Pyramid
lateral_surface_area = 3*Side*Base Go
Lateral surface of a square pyramid
lateral_surface_area = 2*Base*Side Go
LSA of cube given diagonal
lateral_surface_area = 4*((Diagonal/(3^(0.5)))^2) Go
Lateral Surface Area of Largest Cube that can be inscribed within a right circular cylinder when height of cylinder is given
lateral_surface_area = 4*(Height^2) Go

Lateral Surface Area of a Cone Formula

lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2)
LSA = pi*r*sqrt(r^2+h^2)

How to Calculate Lateral Surface Area of a Cone?

Lateral Surface Area of a Cone calculator uses lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2) to calculate the Lateral Surface Area, The lateral surface area of a cone can be defined as the surface area of all of the sides of the cone excluding its base and top. Lateral Surface Area and is denoted by LSA symbol.

How to calculate Lateral Surface Area of a Cone using this online calculator? To use this online calculator for Lateral Surface Area of a Cone, enter Radius (r) and Height (h) and hit the calculate button. Here is how the Lateral Surface Area of a Cone calculation can be explained with given input values -> 6.786603 = pi*0.18*sqrt(0.18^2+12^2).

FAQ

What is Lateral Surface Area of a Cone?
The lateral surface area of a cone can be defined as the surface area of all of the sides of the cone excluding its base and top and is represented as LSA = pi*r*sqrt(r^2+h^2) or lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2). Radius is a radial line from the focus to any point of a curve and Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Lateral Surface Area of a Cone?
The lateral surface area of a cone can be defined as the surface area of all of the sides of the cone excluding its base and top is calculated using lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2). To calculate Lateral Surface Area of a Cone, you need Radius (r) and Height (h). With our tool, you need to enter the respective value for Radius and Height 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 Lateral Surface Area?
In this formula, Lateral Surface Area uses Radius and Height. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • lateral_surface_area = 2*pi*Radius*Height
  • lateral_surface_area = pi*(Radius 1+Radius 2)*sqrt((Radius 1-Radius 2)^2+Height^2)
  • lateral_surface_area = Side*sqrt(Side^2+4*(Height)^2)
  • lateral_surface_area = 4*(Height^2)
  • lateral_surface_area = (Side A+Side B+Side C)*Height
  • lateral_surface_area = Length*sqrt(Length^2+4*Height^2)
  • lateral_surface_area = 2*Side*Slant Height
  • lateral_surface_area = 3*Side*Base
  • lateral_surface_area = 2*Base*Side
  • lateral_surface_area = 4*((Diagonal/(3^(0.5)))^2)
  • lateral_surface_area = pi*Radius*Generator of a cone
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