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Lateral surface area of the cone when slant height is missing Solution

STEP 0: Pre-Calculation Summary
Formula Used
lateral_surface_area = (pi*Radius*(sqrt((Radius^2)+(Height^2))))
SALateral = (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 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: 10 Meter --> 10 Meter No Conversion Required
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
SALateral = (pi*r*(sqrt((r^2)+(h^2)))) --> (pi*10*(sqrt((10^2)+(12^2))))
Evaluating ... ...
SALateral = 490.732460090608
STEP 3: Convert Result to Output's Unit
490.732460090608 Square Meter --> No Conversion Required
FINAL ANSWER
490.732460090608 Square Meter <-- Lateral Surface Area
(Calculation completed in 00.016 seconds)

3 Circular Cone Calculators

Total Surface Area of a Cone
total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go
Lateral surface area of the cone when slant height is missing
lateral_surface_area = (pi*Radius*(sqrt((Radius^2)+(Height^2)))) Go
Base Surface Area of a Cone
base_surface_area = pi*Radius^2 Go

Lateral surface area of the cone when slant height is missing Formula

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

What is Cone?

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.

How to Calculate Lateral surface area of the cone when slant height is missing?

Lateral surface area of the cone when slant height is missing calculator uses lateral_surface_area = (pi*Radius*(sqrt((Radius^2)+(Height^2)))) to calculate the Lateral Surface Area, Lateral surface area of the cone when slant height is missing 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 SALateral symbol.

How to calculate Lateral surface area of the cone when slant height is missing using this online calculator? To use this online calculator for Lateral surface area of the cone when slant height is missing, enter Radius (r) & Height (h) and hit the calculate button. Here is how the Lateral surface area of the cone when slant height is missing calculation can be explained with given input values -> 490.7325 = (pi*10*(sqrt((10^2)+(12^2)))).

FAQ

What is Lateral surface area of the cone when slant height is missing?
Lateral surface area of the cone when slant height is missing can be defined as the surface area of all of the sides of the cone excluding its base and top and is represented as SALateral = (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 & Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Lateral surface area of the cone when slant height is missing?
Lateral surface area of the cone when slant height is missing 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 the cone when slant height is missing, you need Radius (r) & Height (h). With our tool, you need to enter the respective value for Radius & 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 & Height. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • base_surface_area = pi*Radius^2
  • lateral_surface_area = (pi*Radius*(sqrt((Radius^2)+(Height^2))))
  • total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2))
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