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Slant length of Circular Cone given total surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Slant height cone = (Total Surface Area-(pi-Radius of cone^2))/(pi*Radius of cone)
l = (SATotal-(pi-R^2))/(pi*R)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Total Surface Area - Total Surface Area is the total area of the surface of a three-dimensional object. (Measured in Square Meter)
Radius of cone - Radius of cone is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Total Surface Area: 53 Square Meter --> 53 Square Meter No Conversion Required
Radius of cone: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = (SATotal-(pi-R^2))/(pi*R) --> (53-(pi-8^2))/(pi*8)
Evaluating ... ...
l = 4.53028208543794
STEP 3: Convert Result to Output's Unit
4.53028208543794 Meter --> No Conversion Required
FINAL ANSWER
4.53028208543794 Meter <-- Slant height cone
(Calculation completed in 00.000 seconds)

10+ Circular Cone Calculators

Radius of Circular Cone given total surface area and slant height
Radius of cone = 1/2*sqrt(Slant height cone^2+(4*Total Surface Area/pi))-Slant height cone/2 Go
Slant length of Circular Cone given total surface area
Slant height cone = (Total Surface Area-(pi-Radius of cone^2))/(pi*Radius of cone) Go
Total surface area of Circular Cone
Total Surface Area = pi*Radius of cone*(Radius of cone+Slant height cone) Go
Radius of Circular Cone given curved surface area and slant height
Radius of cone = Curved Surface Area/(pi*Slant height cone) Go
Slant height of Circular Cone given curved surface area
Slant height cone = Curved Surface Area/(pi*Radius) Go
Curved surface area of Circular Cone
Surface Area = pi*Radius of cone*Slant height cone Go
Slant length of Circular Cone
Slant height cone = sqrt(Radius of cone^2+Height^2) Go
Volume of Circular Cone
Volume = 1/3*pi*Radius of cone^2*Height of Cone Go
Radius of Circular Cone given base surface area
Radius of cone = sqrt(Base Area/pi) Go
Base surface area of Circular Cone
Area = pi*Radius of cone^2 Go

Slant length of Circular Cone given total surface area Formula

Slant height cone = (Total Surface Area-(pi-Radius of cone^2))/(pi*Radius of cone)
l = (SATotal-(pi-R^2))/(pi*R)

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.

What is length?

Length is the term used for identifying the size of an object or distance from one point to other. Length is a measure of how long an object is or the distance between two points.

How to Calculate Slant length of Circular Cone given total surface area?

Slant length of Circular Cone given total surface area calculator uses Slant height cone = (Total Surface Area-(pi-Radius of cone^2))/(pi*Radius of cone) to calculate the Slant height cone, The Slant length of Circular Cone given total surface area formula is defined as the distance from the vertex of the cone to the circumference of the base, calculated using the total surface area. Slant height cone is denoted by l symbol.

How to calculate Slant length of Circular Cone given total surface area using this online calculator? To use this online calculator for Slant length of Circular Cone given total surface area, enter Total Surface Area (SATotal) & Radius of cone (R) and hit the calculate button. Here is how the Slant length of Circular Cone given total surface area calculation can be explained with given input values -> 4.530282 = (53-(pi-8^2))/(pi*8).

FAQ

What is Slant length of Circular Cone given total surface area?
The Slant length of Circular Cone given total surface area formula is defined as the distance from the vertex of the cone to the circumference of the base, calculated using the total surface area and is represented as l = (SATotal-(pi-R^2))/(pi*R) or Slant height cone = (Total Surface Area-(pi-Radius of cone^2))/(pi*Radius of cone). Total Surface Area is the total area of the surface of a three-dimensional object & Radius of cone is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.
How to calculate Slant length of Circular Cone given total surface area?
The Slant length of Circular Cone given total surface area formula is defined as the distance from the vertex of the cone to the circumference of the base, calculated using the total surface area is calculated using Slant height cone = (Total Surface Area-(pi-Radius of cone^2))/(pi*Radius of cone). To calculate Slant length of Circular Cone given total surface area, you need Total Surface Area (SATotal) & Radius of cone (R). With our tool, you need to enter the respective value for Total Surface Area & 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 cone?
In this formula, Slant height cone uses Total Surface Area & Radius of cone. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Slant height cone = sqrt(Radius of cone^2+Height^2)
  • Slant height cone = Curved Surface Area/(pi*Radius)
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