Height of Spherical Segment given Center to Base and Top to Top Radius Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Spherical Segment = Radius of Spherical Segment-Center to Base Radius Length of Spherical Segment-Top to Top Radius Length of Spherical Segment
h = r-lCenter-Base-lTop-Top
This formula uses 4 Variables
Variables Used
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.
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.
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.
Top to Top Radius Length of Spherical Segment - (Measured in Meter) - Top to Top Radius Length of Spherical Segment is the distance measured from the top of Spherical Segment to Top Radius of Spherical Segment.
STEP 1: Convert Input(s) to Base Unit
Radius of Spherical Segment: 10 Meter --> 10 Meter No Conversion Required
Center to Base Radius Length of Spherical Segment: 1.5 Meter --> 1.5 Meter No Conversion Required
Top to Top Radius Length of Spherical Segment: 4 Meter --> 4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = r-lCenter-Base-lTop-Top --> 10-1.5-4
Evaluating ... ...
h = 4.5
STEP 3: Convert Result to Output's Unit
4.5 Meter --> No Conversion Required
FINAL ANSWER
4.5 Meter <-- Height of Spherical Segment
(Calculation completed in 00.004 seconds)

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Mumbai University (DJSCE), Mumbai
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3 Height of Spherical Segment Calculators

Height of Spherical Segment given Total Surface Area and Radius
Go Height of Spherical Segment = (Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)))/(2*pi*Radius of Spherical Segment)
Height of Spherical Segment given Center to Base and Top to Top Radius Length
Go Height of Spherical Segment = Radius of Spherical Segment-Center to Base Radius Length of Spherical Segment-Top to Top Radius Length of Spherical Segment
Height of Spherical Segment given Curved Surface Area and Radius
Go Height of Spherical Segment = Curved Surface Area of Spherical Segment/(2*pi*Radius of Spherical Segment)

Height of Spherical Segment given Center to Base and Top to Top Radius Length Formula

Height of Spherical Segment = Radius of Spherical Segment-Center to Base Radius Length of Spherical Segment-Top to Top Radius Length of Spherical Segment
h = r-lCenter-Base-lTop-Top

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 Height of Spherical Segment given Center to Base and Top to Top Radius Length?

Height of Spherical Segment given Center to Base and Top to Top Radius Length calculator uses Height of Spherical Segment = Radius of Spherical Segment-Center to Base Radius Length of Spherical Segment-Top to Top Radius Length of Spherical Segment to calculate the Height of Spherical Segment, The Height of Spherical Segment given Center to Base and Top to Top Radius Length formula is defined as the vertical distance between top and bottom circular faces of the Spherical Segment, and calculated using the center to base radius length and top to top radius length of Spherical Segment. Height of Spherical Segment is denoted by h symbol.

How to calculate Height of Spherical Segment given Center to Base and Top to Top Radius Length using this online calculator? To use this online calculator for Height of Spherical Segment given Center to Base and Top to Top Radius Length, enter Radius of Spherical Segment (r), Center to Base Radius Length of Spherical Segment (lCenter-Base) & Top to Top Radius Length of Spherical Segment (lTop-Top) and hit the calculate button. Here is how the Height of Spherical Segment given Center to Base and Top to Top Radius Length calculation can be explained with given input values -> 4.5 = 10-1.5-4.

FAQ

What is Height of Spherical Segment given Center to Base and Top to Top Radius Length?
The Height of Spherical Segment given Center to Base and Top to Top Radius Length formula is defined as the vertical distance between top and bottom circular faces of the Spherical Segment, and calculated using the center to base radius length and top to top radius length of Spherical Segment and is represented as h = r-lCenter-Base-lTop-Top or Height of Spherical Segment = Radius of Spherical Segment-Center to Base Radius Length of Spherical Segment-Top to Top Radius Length of Spherical Segment. Radius of Spherical Segment is the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded, Center to Base Radius Length of Spherical Segment is the distance measured from the center of Spherical Segment to Base Radius of Spherical Segment & Top to Top Radius Length of Spherical Segment is the distance measured from the top of Spherical Segment to Top Radius of Spherical Segment.
How to calculate Height of Spherical Segment given Center to Base and Top to Top Radius Length?
The Height of Spherical Segment given Center to Base and Top to Top Radius Length formula is defined as the vertical distance between top and bottom circular faces of the Spherical Segment, and calculated using the center to base radius length and top to top radius length of Spherical Segment is calculated using Height of Spherical Segment = Radius of Spherical Segment-Center to Base Radius Length of Spherical Segment-Top to Top Radius Length of Spherical Segment. To calculate Height of Spherical Segment given Center to Base and Top to Top Radius Length, you need Radius of Spherical Segment (r), Center to Base Radius Length of Spherical Segment (lCenter-Base) & Top to Top Radius Length of Spherical Segment (lTop-Top). With our tool, you need to enter the respective value for Radius of Spherical Segment, Center to Base Radius Length of Spherical Segment & Top to Top Radius Length 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 Height of Spherical Segment?
In this formula, Height of Spherical Segment uses Radius of Spherical Segment, Center to Base Radius Length of Spherical Segment & Top to Top Radius Length of Spherical Segment. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Height of Spherical Segment = (Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)))/(2*pi*Radius of Spherical Segment)
  • Height of Spherical Segment = Curved Surface Area of Spherical Segment/(2*pi*Radius of Spherical Segment)
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