Radius of Spherical Segment given Total Surface Area Calculator

✖Total Surface Area of Spherical Segment is the quantity of plane enclosed on the entire surface of the Spherical Segment.ⓘ Total Surface Area of Spherical Segment [TSA]			+10% -10%
✖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 given Total Surface Area [r]

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Radius of Spherical Segment given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
r = (TSA-(pi*(r_Base^2+r_Top^2)))/(2*pi*h)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Total Surface Area of Spherical Segment - (Measured in Square Meter) - Total Surface Area of Spherical Segment is the quantity of plane enclosed on the entire surface of the 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

Total Surface Area of Spherical Segment: 830 Square Meter --> 830 Square Meter No Conversion Required
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 = (TSA-(pi*(r_Base^2+r_Top^2)))/(2*pi*h) --> (830-(pi*(10^2+8^2)))/(2*pi*5)

Evaluating ... ...

r = 10.0197205532546

STEP 3: Convert Result to Output's Unit

10.0197205532546 Meter --> No Conversion Required

FINAL ANSWER

10.0197205532546 ≈ 10.01972 Meter <-- Radius of Spherical Segment

(Calculation completed in 00.004 seconds)

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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 given Total Surface Area 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 given Total Surface Area?

Radius of Spherical Segment given Total Surface Area calculator uses 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) to calculate the Radius of Spherical Segment, The Radius of Spherical Segment given Total Surface Area formula is defined as the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded, and calculated using the total surface area of Spherical Segment. Radius of Spherical Segment is denoted by r symbol.

How to calculate Radius of Spherical Segment given Total Surface Area using this online calculator? To use this online calculator for Radius of Spherical Segment given Total Surface Area, enter Total Surface Area of Spherical Segment (TSA), 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 given Total Surface Area calculation can be explained with given input values -> 10.01972 = (830-(pi*(10^2+8^2)))/(2*pi*5).

FAQ

What is Radius of Spherical Segment given Total Surface Area?

The Radius of Spherical Segment given Total Surface Area formula is defined as the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded, and calculated using the total surface area of Spherical Segment and is represented as r = (TSA-(pi*(r_Base^2+r_Top^2)))/(2*pi*h) or 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). Total Surface Area of Spherical Segment is the quantity of plane enclosed on the entire surface of the 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 Radius of Spherical Segment given Total Surface Area?

The Radius of Spherical Segment given Total Surface Area formula is defined as the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded, and calculated using the total surface area of Spherical Segment is calculated using 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). To calculate Radius of Spherical Segment given Total Surface Area, you need Total Surface Area of Spherical Segment (TSA), 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 Total Surface Area of Spherical Segment, 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 Total Surface Area of Spherical Segment, 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 = 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 = Curved Surface Area of Spherical Segment/(2*pi*Height of Spherical Segment)

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