Radius of Spherical Segment Calculator

✖Base Radius of Spherical Segment is a radial line from the center to any point on the circumference of the base of the Spherical Segment.ⓘ Base Radius of Spherical Segment [r_Base]			+10% -10%
✖Top Radius of Spherical Segment is a radial line from the center to any point on the circumference of the top base of a Spherical Segment.ⓘ Top Radius of Spherical Segment [r_Top]			+10% -10%
✖Height of Spherical Segment is the vertical distance between top and bottom circular faces of the Spherical Segment.ⓘ Height of Spherical Segment [h]			+10% -10%

✖Radius of Spherical Segment is the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded.ⓘ Radius of Spherical Segment [r]

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Radius of Spherical Segment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Spherical Segment = sqrt(Base Radius of Spherical Segment^2+((Base Radius of Spherical Segment^2-Top Radius of Spherical Segment^2-Height of Spherical Segment^2)/(2*Height of Spherical Segment))^2)
r = sqrt(r_Base^2+((r_Base^2-r_Top^2-h^2)/(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

Radius of Spherical Segment - (Measured in Meter) - Radius of Spherical Segment is the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded.
Base Radius of Spherical Segment - (Measured in Meter) - Base Radius of Spherical Segment is a radial line from the center to any point on the circumference of the base of the Spherical Segment.
Top Radius of Spherical Segment - (Measured in Meter) - Top Radius of Spherical Segment is a radial line from the center to any point on the circumference of the top base of a Spherical Segment.
Height of Spherical Segment - (Measured in Meter) - Height of Spherical Segment is the vertical distance between top and bottom circular faces of the Spherical Segment.

STEP 1: Convert Input(s) to Base Unit

Base Radius of Spherical Segment: 10 Meter --> 10 Meter No Conversion Required
Top Radius of Spherical Segment: 8 Meter --> 8 Meter No Conversion Required
Height of Spherical Segment: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = sqrt(r_Base^2+((r_Base^2-r_Top^2-h^2)/(2*h))^2) --> sqrt(10^2+((10^2-8^2-5^2)/(2*5))^2)

Evaluating ... ...

r = 10.0603180864225

STEP 3: Convert Result to Output's Unit

10.0603180864225 Meter --> No Conversion Required

FINAL ANSWER

10.0603180864225 ≈ 10.06032 Meter <-- Radius of Spherical Segment

(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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< Radius of Spherical Segment Calculators

Radius of Spherical Segment

LaTeX Go Radius of Spherical Segment = sqrt(Base Radius of Spherical Segment^2+((Base Radius of Spherical Segment^2-Top Radius of Spherical Segment^2-Height of Spherical Segment^2)/(2*Height of Spherical Segment))^2)

Radius of Spherical Segment given Total Surface Area

LaTeX Go Radius of Spherical Segment = (Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)))/(2*pi*Height of Spherical Segment)

Radius of Spherical Segment given Curved Surface Area

LaTeX Go Radius of Spherical Segment = Curved Surface Area of Spherical Segment/(2*pi*Height of Spherical Segment)

Radius of Spherical Segment Formula

LaTeX Go

What is Spherical Segment?

In geometry, a Spherical Segment is the solid defined by cutting a sphere with a pair of parallel planes . It can be thought of as a spherical cap with the top truncated, and so it corresponds to a spherical frustum.

How to Calculate Radius of Spherical Segment?

Radius of Spherical Segment calculator uses Radius of Spherical Segment = sqrt(Base Radius of Spherical Segment^2+((Base Radius of Spherical Segment^2-Top Radius of Spherical Segment^2-Height of Spherical Segment^2)/(2*Height of Spherical Segment))^2) to calculate the Radius of Spherical Segment, The Radius of Spherical Segment formula is defined as the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded. Radius of Spherical Segment is denoted by r symbol.

How to calculate Radius of Spherical Segment using this online calculator? To use this online calculator for Radius of Spherical Segment, enter Base Radius of Spherical Segment (r_Base), Top Radius of Spherical Segment (r_Top) & Height of Spherical Segment (h) and hit the calculate button. Here is how the Radius of Spherical Segment calculation can be explained with given input values -> 10.06032 = sqrt(10^2+((10^2-8^2-5^2)/(2*5))^2).

FAQ

What is Radius of Spherical Segment?

The Radius of Spherical Segment formula is defined as the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded and is represented as r = sqrt(r_Base^2+((r_Base^2-r_Top^2-h^2)/(2*h))^2) or Radius of Spherical Segment = sqrt(Base Radius of Spherical Segment^2+((Base Radius of Spherical Segment^2-Top Radius of Spherical Segment^2-Height of Spherical Segment^2)/(2*Height of Spherical Segment))^2). Base Radius of Spherical Segment is a radial line from the center to any point on the circumference of the base of the Spherical Segment, Top Radius of Spherical Segment is a radial line from the center to any point on the circumference of the top base of a Spherical Segment & Height of Spherical Segment is the vertical distance between top and bottom circular faces of the Spherical Segment.

How to calculate Radius of Spherical Segment?

The Radius of Spherical Segment formula is defined as the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded is calculated using Radius of Spherical Segment = sqrt(Base Radius of Spherical Segment^2+((Base Radius of Spherical Segment^2-Top Radius of Spherical Segment^2-Height of Spherical Segment^2)/(2*Height of Spherical Segment))^2). To calculate Radius of Spherical Segment, you need Base Radius of Spherical Segment (r_Base), Top Radius of Spherical Segment (r_Top) & Height of Spherical Segment (h). With our tool, you need to enter the respective value for Base Radius of Spherical Segment, Top Radius of Spherical Segment & Height of Spherical Segment 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 Radius of Spherical Segment?

In this formula, Radius of Spherical Segment uses Base Radius of Spherical Segment, Top Radius of Spherical Segment & Height of Spherical Segment. We can use 2 other way(s) to calculate the same, which is/are as follows -

Radius of Spherical Segment = Curved Surface Area of Spherical Segment/(2*pi*Height of Spherical Segment)
Radius of Spherical Segment = (Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)))/(2*pi*Height of Spherical Segment)

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