Total Surface Area of Spherical Segment given Curved Surface Area Calculator

✖Curved Surface Area of Spherical Segment is the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) of the Spherical Segment.ⓘ Curved Surface Area of Spherical Segment [CSA]			+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 given Curved Surface Area [TSA]

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Formula

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Total Surface Area of Spherical Segment given Curved Surface Area

Formula

`"TSA" = "CSA"+(pi*("r"_{"Base"}^2+"r"_{"Top"}^2))`

Example

`"835.2212m²"="320m²"+(pi*(("10m")^2+("8m")^2))`

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Total Surface Area of Spherical Segment given Curved Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
TSA = CSA+(pi*(r_Base^2+r_Top^2))
This formula uses 1 Constants, 4 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.
Curved Surface Area of Spherical Segment - (Measured in Square Meter) - Curved Surface Area of Spherical Segment is the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) 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

Curved Surface Area of Spherical Segment: 320 Square Meter --> 320 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = CSA+(pi*(r_Base^2+r_Top^2)) --> 320+(pi*(10^2+8^2))

Evaluating ... ...

TSA = 835.221195188726

STEP 3: Convert Result to Output's Unit

835.221195188726 Square Meter --> No Conversion Required

FINAL ANSWER

835.221195188726 ≈ 835.2212 Square Meter <-- Total Surface Area of Spherical Segment

(Calculation completed in 00.004 seconds)

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< 3 Total Surface Area of Spherical Segment Calculators

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

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

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

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 given Curved Surface Area Formula

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))
TSA = CSA+(pi*(r_Base^2+r_Top^2))

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 given Curved Surface Area?

Total Surface Area of Spherical Segment given Curved Surface Area calculator uses 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)) to calculate the Total Surface Area of Spherical Segment, The Total Surface Area of Spherical Segment given Curved Surface Area formula is defined as the quantity of plane enclosed on the entire surface of the Spherical Segment, and calculated using the curved surface area of Spherical Segment. Total Surface Area of Spherical Segment is denoted by TSA symbol.

How to calculate Total Surface Area of Spherical Segment given Curved Surface Area using this online calculator? To use this online calculator for Total Surface Area of Spherical Segment given Curved Surface Area, enter Curved Surface Area of Spherical Segment (CSA), 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 given Curved Surface Area calculation can be explained with given input values -> 835.2212 = 320+(pi*(10^2+8^2)).

FAQ

What is Total Surface Area of Spherical Segment given Curved Surface Area?

The Total Surface Area of Spherical Segment given Curved Surface Area formula is defined as the quantity of plane enclosed on the entire surface of the Spherical Segment, and calculated using the curved surface area of Spherical Segment and is represented as TSA = CSA+(pi*(r_Base^2+r_Top^2)) or 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)). Curved Surface Area of Spherical Segment is the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) 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 given Curved Surface Area?

The Total Surface Area of Spherical Segment given Curved Surface Area formula is defined as the quantity of plane enclosed on the entire surface of the Spherical Segment, and calculated using the curved surface area of Spherical Segment is calculated using 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)). To calculate Total Surface Area of Spherical Segment given Curved Surface Area, you need Curved Surface Area of Spherical Segment (CSA), 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 Curved Surface Area 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 Curved Surface Area 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*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 = 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)

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