Center to Base Radius Length 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%

✖Center to Base Radius Length of Spherical Segment is the distance measured from the center of Spherical Segment to Base Radius of Spherical Segment.ⓘ Center to Base Radius Length of Spherical Segment [l_Center-Base]

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Center to Base Radius Length of Spherical Segment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Center to Base Radius Length of Spherical Segment = (Base Radius of Spherical Segment^2-Top Radius of Spherical Segment^2-Height of Spherical Segment^2)/(2*Height of Spherical Segment)
l_Center-Base = (r_Base^2-r_Top^2-h^2)/(2*h)
This formula uses 4 Variables

Variables Used

Center to Base Radius Length of Spherical Segment - (Measured in Meter) - Center to Base Radius Length of Spherical Segment is the distance measured from the center of Spherical Segment to Base Radius of Spherical Segment.
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

l_Center-Base = (r_Base^2-r_Top^2-h^2)/(2*h) --> (10^2-8^2-5^2)/(2*5)

Evaluating ... ...

l_Center-Base = 1.1

STEP 3: Convert Result to Output's Unit

1.1 Meter --> No Conversion Required

FINAL ANSWER

1.1 Meter <-- Center to Base Radius Length 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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Center to Base Radius Length of Spherical Segment

LaTeX Go Center to Base Radius Length of Spherical Segment = (Base Radius of Spherical Segment^2-Top Radius of Spherical Segment^2-Height of Spherical Segment^2)/(2*Height of Spherical Segment)

Top to Top Radius Length of Spherical Segment

LaTeX Go Top to Top Radius Length of Spherical Segment = Radius of Spherical Segment-Height of Spherical Segment-Center to Base Radius Length of Spherical Segment

Center to Base Radius Length 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 Center to Base Radius Length of Spherical Segment?

Center to Base Radius Length of Spherical Segment calculator uses Center to Base Radius Length of Spherical Segment = (Base Radius of Spherical Segment^2-Top Radius of Spherical Segment^2-Height of Spherical Segment^2)/(2*Height of Spherical Segment) to calculate the Center to Base Radius Length of Spherical Segment, The Center to Base Radius Length of Spherical Segment formula is defined as the distance measured from the center of Spherical Segment to Base Radius of Spherical Segment. Center to Base Radius Length of Spherical Segment is denoted by l_Center-Base symbol.

How to calculate Center to Base Radius Length of Spherical Segment using this online calculator? To use this online calculator for Center to Base Radius Length 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 Center to Base Radius Length of Spherical Segment calculation can be explained with given input values -> 1.1 = (10^2-8^2-5^2)/(2*5).

FAQ

What is Center to Base Radius Length of Spherical Segment?

The Center to Base Radius Length of Spherical Segment formula is defined as the distance measured from the center of Spherical Segment to Base Radius of Spherical Segment and is represented as l_Center-Base = (r_Base^2-r_Top^2-h^2)/(2*h) or Center to Base Radius Length of Spherical Segment = (Base Radius of Spherical Segment^2-Top Radius of Spherical Segment^2-Height of Spherical Segment^2)/(2*Height of Spherical Segment). 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 Center to Base Radius Length of Spherical Segment?

The Center to Base Radius Length of Spherical Segment formula is defined as the distance measured from the center of Spherical Segment to Base Radius of Spherical Segment is calculated using Center to Base Radius Length of Spherical Segment = (Base Radius of Spherical Segment^2-Top Radius of Spherical Segment^2-Height of Spherical Segment^2)/(2*Height of Spherical Segment). To calculate Center to Base Radius Length 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.

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