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)
lCenter-Base = (rBase^2-rTop^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
lCenter-Base = (rBase^2-rTop^2-h^2)/(2*h) --> (10^2-8^2-5^2)/(2*5)
Evaluating ... ...
lCenter-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)

Credits

Created by Nikhil
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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2 Spherical Segment Calculators

Center to Base Radius Length of Spherical Segment
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
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

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)
lCenter-Base = (rBase^2-rTop^2-h^2)/(2*h)

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 lCenter-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 (rBase), Top Radius of Spherical Segment (rTop) & 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 lCenter-Base = (rBase^2-rTop^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 (rBase), Top Radius of Spherical Segment (rTop) & 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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