Lateral Surface Area of a Conical Frustum Calculator

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✖Radius 1 is a radial line from the focus to any point of a curve.ⓘ Radius 1 [r1]			+10% -10%
✖Radius 2 is a radial line from the focus to any point of a curve.ⓘ Radius 2 [r2]			+10% -10%
✖Height is the distance between the lowest and highest points of a person standing upright.ⓘ Height [h]			+10% -10%

✖The lateral surface of an object is the area of all the sides of the object, excluding the area of its base and top.ⓘ Lateral Surface Area of a Conical Frustum [LSA]

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Credits

Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has created this Calculator and 500+ more calculators!

Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 500+ more calculators!

Lateral Surface Area of a Conical Frustum Solution

STEP 0: Pre-Calculation Summary

Formula Used

lateral_surface_area = pi*(Radius 1+Radius 2)*sqrt((Radius 1-Radius 2)^2+Height^2)
LSA = pi*(r1+r2)*sqrt((r1-r2)^2+h^2)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - Squre root function, sqrt(Number)

Variables Used

Radius 1 - Radius 1 is a radial line from the focus to any point of a curve. (Measured in Meter)
Radius 2 - Radius 2 is a radial line from the focus to any point of a curve. (Measured in Meter)
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 1: 11 Meter --> 11 Meter No Conversion Required
Radius 2: 13 Meter --> 13 Meter No Conversion Required
Height: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LSA = pi*(r1+r2)*sqrt((r1-r2)^2+h^2) --> pi*(11+13)*sqrt((11-13)^2+12^2)

Evaluating ... ...

LSA = 917.258979778375

STEP 3: Convert Result to Output's Unit

917.258979778375 Square Meter --> No Conversion Required

FINAL ANSWER

917.258979778375 Square Meter <-- Lateral Surface Area

(Calculation completed in 00.031 seconds)

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Lateral Surface Area of a Conical Frustum

< 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

Total Surface Area of a Cone

total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go

Lateral Surface Area of a Cone

lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2) Go

Total Surface Area of a Cylinder

total_surface_area = 2*pi*Radius*(Height+Radius) Go

Lateral Surface Area of a Cylinder

lateral_surface_area = 2*pi*Radius*Height 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

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 Cone

lateral_surface_area = pi*Radius*sqrt(Radius^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 Conical Frustum Formula

lateral_surface_area = pi*(Radius 1+Radius 2)*sqrt((Radius 1-Radius 2)^2+Height^2)
LSA = pi*(r1+r2)*sqrt((r1-r2)^2+h^2)

How to Calculate Lateral Surface Area of a Conical Frustum?

Lateral Surface Area of a Conical Frustum calculator uses lateral_surface_area = pi*(Radius 1+Radius 2)*sqrt((Radius 1-Radius 2)^2+Height^2) to calculate the Lateral Surface Area, Lateral Surface Area of a Conical Frustum can be defined as the surface area of all of the sides of the conical frustum excluding its base and top. Lateral Surface Area and is denoted by LSA symbol.

How to calculate Lateral Surface Area of a Conical Frustum using this online calculator? To use this online calculator for Lateral Surface Area of a Conical Frustum, enter Radius 1 (r1), Radius 2 (r2) and Height (h) and hit the calculate button. Here is how the Lateral Surface Area of a Conical Frustum calculation can be explained with given input values -> 917.259 = pi*(11+13)*sqrt((11-13)^2+12^2).

FAQ

What is Lateral Surface Area of a Conical Frustum?

Lateral Surface Area of a Conical Frustum can be defined as the surface area of all of the sides of the conical frustum excluding its base and top and is represented as LSA = pi*(r1+r2)*sqrt((r1-r2)^2+h^2) or lateral_surface_area = pi*(Radius 1+Radius 2)*sqrt((Radius 1-Radius 2)^2+Height^2). Radius 1 is a radial line from the focus to any point of a curve, Radius 2 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 Conical Frustum?

Lateral Surface Area of a Conical Frustum can be defined as the surface area of all of the sides of the conical frustum excluding its base and top is calculated using lateral_surface_area = pi*(Radius 1+Radius 2)*sqrt((Radius 1-Radius 2)^2+Height^2). To calculate Lateral Surface Area of a Conical Frustum, you need Radius 1 (r1), Radius 2 (r2) and Height (h). With our tool, you need to enter the respective value for Radius 1, Radius 2 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 1, Radius 2 and Height. We can use 11 other way(s) to calculate the same, which is/are as follows -

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