Curved Surface Area 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%

✖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 given Total Surface Area [CSA]

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Formula

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Curved Surface Area of Spherical Segment given Total Surface Area

Formula

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

Example

`"314.7788m²"="830m²"-(pi*(("10m")^2+("8m")^2))`

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Curved Surface Area of Spherical Segment given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Curved Surface Area of Spherical Segment = Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2))
CSA = TSA-(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

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.
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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

CSA = TSA-(pi*(r_Base^2+r_Top^2)) --> 830-(pi*(10^2+8^2))

Evaluating ... ...

CSA = 314.778804811274

STEP 3: Convert Result to Output's Unit

314.778804811274 Square Meter --> No Conversion Required

FINAL ANSWER

314.778804811274 ≈ 314.7788 Square Meter <-- Curved Surface Area of Spherical Segment

(Calculation completed in 00.020 seconds)

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< 3 Curved Surface Area of Spherical Segment Calculators

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

Go Curved Surface Area of Spherical Segment = 2*pi*Radius of Spherical Segment*(Radius of Spherical Segment-Center to Base Radius Length of Spherical Segment-Top to Top Radius Length of Spherical Segment)

Curved Surface Area of Spherical Segment given Total Surface Area

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

Curved Surface Area of Spherical Segment

Go Curved Surface Area of Spherical Segment = 2*pi*Radius of Spherical Segment*Height of Spherical Segment

Curved Surface Area of Spherical Segment given Total Surface Area Formula

Curved Surface Area of Spherical Segment = Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2))
CSA = TSA-(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 Curved Surface Area of Spherical Segment given Total Surface Area?

Curved Surface Area of Spherical Segment given Total Surface Area calculator uses Curved Surface Area of Spherical Segment = Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)) to calculate the Curved Surface Area of Spherical Segment, The Curved Surface Area of Spherical Segment given Total Surface Area formula is defined as as the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) of the Spherical Segment, and calculated using the total surface area of Spherical Segment. Curved Surface Area of Spherical Segment is denoted by CSA symbol.

How to calculate Curved Surface Area of Spherical Segment given Total Surface Area using this online calculator? To use this online calculator for Curved Surface Area 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) and hit the calculate button. Here is how the Curved Surface Area of Spherical Segment given Total Surface Area calculation can be explained with given input values -> 314.7788 = 830-(pi*(10^2+8^2)).

FAQ

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

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

How to calculate Curved Surface Area of Spherical Segment given Total Surface Area?

The Curved Surface Area of Spherical Segment given Total Surface Area formula is defined as as the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) of the Spherical Segment, and calculated using the total surface area of Spherical Segment is calculated using Curved Surface Area of Spherical Segment = Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)). To calculate Curved Surface Area 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). 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 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 Curved Surface Area of Spherical Segment?

In this formula, Curved Surface Area of Spherical Segment uses Total 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 -

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

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