Base Radius of Truncated Cone given Slant Height Calculator

✖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 [r_Top]			+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%

✖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 given Slant Height [r_Base]

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Formula

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Base Radius of Truncated Cone given Slant Height

Formula

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

Example

`"5.872983m"="2m"+sqrt(("8m")^2-("7m")^2)`

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Base Radius of Truncated Cone given Slant Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

Top Radius of Truncated Cone: 2 Meter --> 2 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_Base = r_Top+sqrt(h_Slant^2-h^2) --> 2+sqrt(8^2-7^2)

Evaluating ... ...

r_Base = 5.87298334620742

STEP 3: Convert Result to Output's Unit

5.87298334620742 Meter --> No Conversion Required

FINAL ANSWER

5.87298334620742 ≈ 5.872983 Meter <-- Base Radius of Truncated Cone

(Calculation completed in 00.004 seconds)

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< 2 Base Radius of Truncated Cone Calculators

Base Radius of Truncated Cone given Slant Height

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

Base Radius of Truncated Cone given Base Area

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

Base Radius of Truncated Cone given Slant Height Formula

Base Radius of Truncated Cone = Top Radius of Truncated Cone+sqrt(Slant Height of Truncated Cone^2-Height of Truncated Cone^2)
r_Base = r_Top+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 Base Radius of Truncated Cone given Slant Height?

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

How to calculate Base Radius of Truncated Cone given Slant Height using this online calculator? To use this online calculator for Base Radius of Truncated Cone given Slant Height, enter Top Radius of Truncated Cone (r_Top), Slant Height of Truncated Cone (h_Slant) & Height of Truncated Cone (h) and hit the calculate button. Here is how the Base Radius of Truncated Cone given Slant Height calculation can be explained with given input values -> 5.872983 = 2+sqrt(8^2-7^2).

FAQ

What is Base Radius of Truncated Cone given Slant Height?

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

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

In this formula, Base Radius of Truncated Cone uses Top 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 -

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

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