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

STEP 0: Pre-Calculation Summary
Formula Used
Lateral Surface Area of Cone = Base Circumference of Cone/2*Slant Height of Cone
LSA = CBase/2*hSlant
This formula uses 3 Variables
Variables Used
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 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.
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
Base Circumference of Cone: 60 Meter --> 60 Meter No Conversion Required
Slant Height of Cone: 11 Meter --> 11 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LSA = CBase/2*hSlant --> 60/2*11
Evaluating ... ...
LSA = 330
STEP 3: Convert Result to Output's Unit
330 Square Meter --> No Conversion Required
FINAL ANSWER
330 Square Meter <-- Lateral Surface Area of Cone
(Calculation completed in 00.020 seconds)

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13 Lateral Surface Area of Cone Calculators

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

11 Surface Area of Cone Calculators

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

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

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

Lateral Surface Area of Cone given Base Circumference and Slant Height calculator uses Lateral Surface Area of Cone = Base Circumference of Cone/2*Slant Height of Cone to calculate the Lateral Surface Area of Cone, Lateral Surface Area of Cone given Base Circumference and Slant Height formula is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone, and calculated using the base circumference and slant height of the Cone. Lateral Surface Area of Cone is denoted by LSA symbol.

How to calculate Lateral Surface Area of Cone given Base Circumference and Slant Height using this online calculator? To use this online calculator for Lateral Surface Area of Cone given Base Circumference and Slant Height, enter Base Circumference of Cone (CBase) & Slant Height of Cone (hSlant) and hit the calculate button. Here is how the Lateral Surface Area of Cone given Base Circumference and Slant Height calculation can be explained with given input values -> 330 = 60/2*11.

FAQ

What is Lateral Surface Area of Cone given Base Circumference and Slant Height?
Lateral Surface Area of Cone given Base Circumference and Slant Height formula is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone, and calculated using the base circumference and slant height of the Cone and is represented as LSA = CBase/2*hSlant or Lateral Surface Area of Cone = Base Circumference of Cone/2*Slant Height of Cone. Base Circumference of Cone is the total length of the boundary of the base circular 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 Lateral Surface Area of Cone given Base Circumference and Slant Height?
Lateral Surface Area of Cone given Base Circumference and Slant Height formula is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone, and calculated using the base circumference and slant height of the Cone is calculated using Lateral Surface Area of Cone = Base Circumference of Cone/2*Slant Height of Cone. To calculate Lateral Surface Area of Cone given Base Circumference and Slant Height, you need Base Circumference of Cone (CBase) & Slant Height of Cone (hSlant). With our tool, you need to enter the respective value for Base Circumference 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 Lateral Surface Area of Cone?
In this formula, Lateral Surface Area of Cone uses Base Circumference of Cone & Slant Height of Cone. We can use 16 other way(s) to calculate the same, which is/are as follows -
  • Lateral Surface Area of Cone = pi*sqrt(Base Area of Cone/pi)*Slant Height of Cone
  • Lateral Surface Area of Cone = pi*Base Radius of Cone*Slant Height of Cone
  • Lateral Surface Area of Cone = pi*Base Radius of Cone*sqrt(Height of Cone^2+Base Radius of Cone^2)
  • Lateral Surface Area of Cone = pi*sqrt(Base Area of Cone/pi*(Height of Cone^2+Base Area of Cone/pi))
  • Lateral Surface Area of Cone = Base Circumference of Cone/2*sqrt(Height of Cone^2+(Base Circumference of Cone/(2*pi))^2)
  • Lateral Surface Area of Cone = Total Surface Area of Cone-pi*Base Radius of Cone^2
  • Lateral Surface Area of Cone = Total Surface Area of Cone-Base Area of Cone
  • Lateral Surface Area of Cone = Total Surface Area of Cone-Base Circumference of Cone^2/(4*pi)
  • Lateral Surface Area of Cone = pi*Base Radius of Cone*sqrt(((3*Volume of Cone)/(pi*Base Radius of Cone^2))^2+Base Radius of Cone^2)
  • Lateral Surface Area of Cone = pi*sqrt((3*Volume of Cone)/(pi*Height of Cone)*(Height of Cone^2+(3*Volume of Cone)/(pi*Height of Cone)))
  • Lateral Surface Area of Cone = Base Circumference of Cone/2*sqrt(((3*Volume of Cone)/(Base Circumference of Cone^2/(4*pi)))^2+(Base Circumference of Cone/(2*pi))^2)
  • Lateral Surface Area of Cone = pi*sqrt(Base Area of Cone/pi*(((3*Volume of Cone)/Base Area of Cone)^2+Base Area of Cone/pi))
  • Lateral Surface Area of Cone = pi*Base Radius of Cone*Slant Height of Cone
  • Lateral Surface Area of Cone = pi*Base Radius of Cone*sqrt(Height of Cone^2+Base Radius of Cone^2)
  • Lateral Surface Area of Cone = pi*Base Radius of Cone*sqrt(((3*Volume of Cone)/(pi*Base Radius of Cone^2))^2+Base Radius of Cone^2)
  • Lateral Surface Area of Cone = pi*sqrt(Base Area of Cone/pi)*Slant Height of Cone
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