Total Surface Area of Spherical Segment Calculator

✖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]			+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%
✖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%

✖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]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Total Surface Area of Spherical Segment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Spherical Segment = pi*((2*Radius of Spherical Segment*Height of Spherical Segment)+Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)
TSA = pi*((2*r*h)+r_Base^2+r_Top^2)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

TSA = 829.380460547705

STEP 3: Convert Result to Output's Unit

829.380460547705 Square Meter --> No Conversion Required

FINAL ANSWER

829.380460547705 ≈ 829.3805 Square Meter <-- Total Surface Area of Spherical Segment

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Spherical Segment » Surface Area of Spherical Segment » Total Surface Area of Spherical Segment » Total Surface Area of Spherical Segment

Credits

Created by Nikhil

Mumbai University (DJSCE), Mumbai

Nikhil has created this Calculator and 400+ more calculators!

Verified by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has verified this Calculator and 400+ more calculators!

< Total Surface Area of Spherical Segment Calculators

Total Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length

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

Total Surface Area of Spherical Segment

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

Total Surface Area of Spherical Segment given Curved Surface Area

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

Total Surface Area 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 Total Surface Area of Spherical Segment?

Total Surface Area of Spherical Segment calculator uses Total Surface Area of Spherical Segment = pi*((2*Radius of Spherical Segment*Height of Spherical Segment)+Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2) to calculate the Total Surface Area of Spherical Segment, The Total Surface Area of Spherical Segment formula is defined as the quantity of plane enclosed on the entire surface of the Spherical Segment. Total Surface Area of Spherical Segment is denoted by TSA symbol.

How to calculate Total Surface Area of Spherical Segment using this online calculator? To use this online calculator for Total Surface Area of Spherical Segment, enter Radius of Spherical Segment (r), Height of Spherical Segment (h), Base Radius of Spherical Segment (r_Base) & Top Radius of Spherical Segment (r_Top) and hit the calculate button. Here is how the Total Surface Area of Spherical Segment calculation can be explained with given input values -> 829.3805 = pi*((2*10*5)+10^2+8^2).

FAQ

What is Total Surface Area of Spherical Segment?

The Total Surface Area of Spherical Segment formula is defined as the quantity of plane enclosed on the entire surface of the Spherical Segment and is represented as TSA = pi*((2*r*h)+r_Base^2+r_Top^2) or Total Surface Area of Spherical Segment = pi*((2*Radius of Spherical Segment*Height of Spherical Segment)+Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2). Radius of Spherical Segment is the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded, Height of Spherical Segment is the vertical distance between top and bottom circular faces 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.

How to calculate Total Surface Area of Spherical Segment?

The Total Surface Area of Spherical Segment formula is defined as the quantity of plane enclosed on the entire surface of the Spherical Segment is calculated using Total Surface Area of Spherical Segment = pi*((2*Radius of Spherical Segment*Height of Spherical Segment)+Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2). To calculate Total Surface Area of Spherical Segment, you need Radius of Spherical Segment (r), Height of Spherical Segment (h), Base Radius of Spherical Segment (r_Base) & Top Radius of Spherical Segment (r_Top). With our tool, you need to enter the respective value for Radius of Spherical Segment, Height of Spherical Segment, Base Radius of Spherical Segment & Top Radius 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 Total Surface Area of Spherical Segment?

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

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

Home

FREE PDFs

🔍 Search