Top Radius of Truncated Cone given Slant Height Calculator

✖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.ⓘ Base Radius of Truncated Cone [r_Base]			+10% -10%
✖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.ⓘ Slant Height of Truncated Cone [h_Slant]			+10% -10%
✖Height of Truncated Cone is the vertical distance from the base circular surface to the top most point of the Truncated Cone.ⓘ Height of Truncated Cone [h]			+10% -10%

✖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.ⓘ Top Radius of Truncated Cone given Slant Height [r_Top]

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Formula

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Top Radius of Truncated Cone given Slant Height

Formula

`"r"_{"Top"} = "r"_{"Base"}-sqrt("h"_{"Slant"}^2-"h"^2)`

Example

`"1.127017m"="5m"-sqrt(("8m")^2-("7m")^2)`

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Top Radius of Truncated Cone given Slant Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Top Radius of Truncated Cone = Base Radius of Truncated Cone-sqrt(Slant Height of Truncated Cone^2-Height of Truncated Cone^2)
r_Top = r_Base-sqrt(h_Slant^2-h^2)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
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.
Height of Truncated Cone - (Measured in Meter) - Height of Truncated Cone is the vertical distance from the base circular surface to the top most point of the Truncated Cone.

STEP 1: Convert Input(s) to Base Unit

Base Radius of Truncated Cone: 5 Meter --> 5 Meter No Conversion Required
Slant Height of Truncated Cone: 8 Meter --> 8 Meter No Conversion Required
Height of Truncated Cone: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Top = r_Base-sqrt(h_Slant^2-h^2) --> 5-sqrt(8^2-7^2)

Evaluating ... ...

r_Top = 1.12701665379258

STEP 3: Convert Result to Output's Unit

1.12701665379258 Meter --> No Conversion Required

FINAL ANSWER

1.12701665379258 ≈ 1.127017 Meter <-- Top Radius of Truncated Cone

(Calculation completed in 00.004 seconds)

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< 2 Top Radius of Truncated Cone Calculators

Top Radius of Truncated Cone given Slant Height

Go Top Radius of Truncated Cone = Base Radius of Truncated Cone-sqrt(Slant Height of Truncated Cone^2-Height of Truncated Cone^2)

Top Radius of Truncated Cone given Top Area

Go Top Radius of Truncated Cone = sqrt(Top Area of Truncated Cone/pi)

Top Radius of Truncated Cone given Slant Height Formula

Top Radius of Truncated Cone = Base Radius of Truncated Cone-sqrt(Slant Height of Truncated Cone^2-Height of Truncated Cone^2)
r_Top = r_Base-sqrt(h_Slant^2-h^2)

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 Top Radius of Truncated Cone given Slant Height?

Top Radius of Truncated Cone given Slant Height calculator uses Top Radius of Truncated Cone = Base Radius of Truncated Cone-sqrt(Slant Height of Truncated Cone^2-Height of Truncated Cone^2) to calculate the Top Radius of Truncated Cone, The Top Radius of Truncated Cone given Slant Height formula is defined as the distance between the center and any point on the circumference of the top circular surface of the Truncated Cone, and calculated using the slant height of Truncated Cone. Top Radius of Truncated Cone is denoted by r_Top symbol.

How to calculate Top Radius of Truncated Cone given Slant Height using this online calculator? To use this online calculator for Top Radius of Truncated Cone given Slant Height, enter Base Radius of Truncated Cone (r_Base), Slant Height of Truncated Cone (h_Slant) & Height of Truncated Cone (h) and hit the calculate button. Here is how the Top Radius of Truncated Cone given Slant Height calculation can be explained with given input values -> 1.127017 = 5-sqrt(8^2-7^2).

FAQ

What is Top Radius of Truncated Cone given Slant Height?

The Top Radius of Truncated Cone given Slant Height formula is defined as the distance between the center and any point on the circumference of the top circular surface of the Truncated Cone, and calculated using the slant height of Truncated Cone and is represented as r_Top = r_Base-sqrt(h_Slant^2-h^2) or Top Radius of Truncated Cone = Base Radius of Truncated Cone-sqrt(Slant Height of Truncated Cone^2-Height of Truncated Cone^2). 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, 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 & Height of Truncated Cone is the vertical distance from the base circular surface to the top most point of the Truncated Cone.

How to calculate Top Radius of Truncated Cone given Slant Height?

The Top Radius of Truncated Cone given Slant Height formula is defined as the distance between the center and any point on the circumference of the top circular surface of the Truncated Cone, and calculated using the slant height of Truncated Cone is calculated using Top Radius of Truncated Cone = Base Radius of Truncated Cone-sqrt(Slant Height of Truncated Cone^2-Height of Truncated Cone^2). To calculate Top Radius of Truncated Cone given Slant Height, you need Base Radius of Truncated Cone (r_Base), Slant Height of Truncated Cone (h_Slant) & Height of Truncated Cone (h). With our tool, you need to enter the respective value for Base Radius of Truncated Cone, Slant Height of Truncated Cone & Height 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 Top Radius of Truncated Cone?

In this formula, Top Radius of Truncated Cone uses Base Radius of Truncated Cone, Slant Height of Truncated Cone & Height of Truncated Cone. We can use 1 other way(s) to calculate the same, which is/are as follows -

Top Radius of Truncated Cone = sqrt(Top Area of Truncated Cone/pi)

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