## Slant Height of Truncated Cone given Curved Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Slant Height of Truncated Cone = Curved Surface Area of Truncated Cone/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone))
hSlant = CSA/(pi*(rBase+rTop))
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Slant Height of Truncated Cone - (Measured in Meter) - Slant Height of Truncated Cone is the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone.
Curved Surface Area of Truncated Cone - (Measured in Square Meter) - Curved Surface Area of Truncated Cone is the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) of the Truncated Cone.
Base Radius of Truncated Cone - (Measured in Meter) - Base Radius of Truncated Cone is the distance between the center and any point on the circumference of the base circular surface of the Truncated Cone.
Top Radius of Truncated Cone - (Measured in Meter) - Top Radius of Truncated Cone is the distance between the center and any point on the circumference of the top circular surface of the Truncated Cone.
STEP 1: Convert Input(s) to Base Unit
Curved Surface Area of Truncated Cone: 170 Square Meter --> 170 Square Meter No Conversion Required
Base Radius of Truncated Cone: 5 Meter --> 5 Meter No Conversion Required
Top Radius of Truncated Cone: 2 Meter --> 2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hSlant = CSA/(pi*(rBase+rTop)) --> 170/(pi*(5+2))
Evaluating ... ...
hSlant = 7.73038295017777
STEP 3: Convert Result to Output's Unit
7.73038295017777 Meter --> No Conversion Required
7.73038295017777 7.730383 Meter <-- Slant Height of Truncated Cone
(Calculation completed in 00.004 seconds)
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Mumbai University (DJSCE), Mumbai
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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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## < 4 Slant Height of Truncated Cone Calculators

Slant Height of Truncated Cone given Volume
Slant Height of Truncated Cone = sqrt(((3*Volume of Truncated Cone)/(pi*(Base Radius of Truncated Cone^2+(Base Radius of Truncated Cone*Top Radius of Truncated Cone)+Top Radius of Truncated Cone^2)))^2+(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2)
Slant Height of Truncated Cone given Total Surface Area
Slant Height of Truncated Cone = (Total Surface Area of Truncated Cone-pi*(Base Radius of Truncated Cone^2+Top Radius of Truncated Cone^2))/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone))
Slant Height of Truncated Cone given Curved Surface Area
Slant Height of Truncated Cone = Curved Surface Area of Truncated Cone/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone))
Slant Height of Truncated Cone
Slant Height of Truncated Cone = sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+Height of Truncated Cone^2)

## Slant Height of Truncated Cone given Curved Surface Area Formula

Slant Height of Truncated Cone = Curved Surface Area of Truncated Cone/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone))
hSlant = CSA/(pi*(rBase+rTop))

## What is a Truncated Cone?

A Truncated Cone is basically a circular cone of which top is cut or 'truncated' by a horizontal plane. Or in another way, a Truncated Cone is formed when a smaller circular cone is cut from the top of a larger circular cone. The Truncated has two circular surfaces - one on top and another on the bottom, and a lateral curved surface. The slant height is the shortest distance between the two circles on the lateral surface, which is the surface without the circles.

## How to Calculate Slant Height of Truncated Cone given Curved Surface Area?

Slant Height of Truncated Cone given Curved Surface Area calculator uses Slant Height of Truncated Cone = Curved Surface Area of Truncated Cone/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)) to calculate the Slant Height of Truncated Cone, The Slant Height of Truncated Cone given Curved Surface Area formula is defined as the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone, and calculated using the curved surface area of Truncated Cone. Slant Height of Truncated Cone is denoted by hSlant symbol.

How to calculate Slant Height of Truncated Cone given Curved Surface Area using this online calculator? To use this online calculator for Slant Height of Truncated Cone given Curved Surface Area, enter Curved Surface Area of Truncated Cone (CSA), Base Radius of Truncated Cone (rBase) & Top Radius of Truncated Cone (rTop) and hit the calculate button. Here is how the Slant Height of Truncated Cone given Curved Surface Area calculation can be explained with given input values -> 7.730383 = 170/(pi*(5+2)).

### FAQ

What is Slant Height of Truncated Cone given Curved Surface Area?
The Slant Height of Truncated Cone given Curved Surface Area formula is defined as the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone, and calculated using the curved surface area of Truncated Cone and is represented as hSlant = CSA/(pi*(rBase+rTop)) or Slant Height of Truncated Cone = Curved Surface Area of Truncated Cone/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)). Curved Surface Area of Truncated Cone is the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) of the Truncated Cone, Base Radius of Truncated Cone is the distance between the center and any point on the circumference of the base circular surface of the Truncated Cone & Top Radius of Truncated Cone is the distance between the center and any point on the circumference of the top circular surface of the Truncated Cone.
How to calculate Slant Height of Truncated Cone given Curved Surface Area?
The Slant Height of Truncated Cone given Curved Surface Area formula is defined as the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone, and calculated using the curved surface area of Truncated Cone is calculated using Slant Height of Truncated Cone = Curved Surface Area of Truncated Cone/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)). To calculate Slant Height of Truncated Cone given Curved Surface Area, you need Curved Surface Area of Truncated Cone (CSA), Base Radius of Truncated Cone (rBase) & Top Radius of Truncated Cone (rTop). With our tool, you need to enter the respective value for Curved Surface Area of Truncated Cone, Base Radius of Truncated Cone & Top Radius of Truncated 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 of Truncated Cone?
In this formula, Slant Height of Truncated Cone uses Curved Surface Area of Truncated Cone, Base Radius of Truncated Cone & Top Radius of Truncated Cone. We can use 3 other way(s) to calculate the same, which is/are as follows -
• Slant Height of Truncated Cone = sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+Height of Truncated Cone^2)
• Slant Height of Truncated Cone = (Total Surface Area of Truncated Cone-pi*(Base Radius of Truncated Cone^2+Top Radius of Truncated Cone^2))/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone))
• Slant Height of Truncated Cone = sqrt(((3*Volume of Truncated Cone)/(pi*(Base Radius of Truncated Cone^2+(Base Radius of Truncated Cone*Top Radius of Truncated Cone)+Top Radius of Truncated Cone^2)))^2+(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2) Let Others Know