Curved Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length 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%
✖Center to Base Radius Length of Spherical Segment is the distance measured from the center of Spherical Segment to Base Radius of Spherical Segment.ⓘ Center to Base Radius Length of Spherical Segment [l_Center-Base]			+10% -10%
✖Top to Top Radius Length of Spherical Segment is the distance measured from the top of Spherical Segment to Top Radius of Spherical Segment.ⓘ Top to Top Radius Length of Spherical Segment [l_Top-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 Center to Base and Top to Top Radius Length [CSA]

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Formula

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

Formula

`"CSA" = 2*pi*"r"*("r"-"l"_{"Center-Base"}-"l"_{"Top-Top"})`

Example

`"282.7433m²"=2*pi*"10m"*("10m"-"1.5m"-"4m")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
CSA = 2*pi*r*(r-l_Center-Base-l_Top-Top)
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.
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

CSA = 2*pi*r*(r-l_Center-Base-l_Top-Top) --> 2*pi*10*(10-1.5-4)

Evaluating ... ...

CSA = 282.743338823081

STEP 3: Convert Result to Output's Unit

282.743338823081 Square Meter --> No Conversion Required

FINAL ANSWER

282.743338823081 ≈ 282.7433 Square Meter <-- Curved Surface Area of Spherical Segment

(Calculation completed in 00.004 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 Center to Base and Top to Top Radius Length Formula

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 Center to Base and Top to Top Radius Length?

Curved Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length calculator uses 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) to calculate the Curved Surface Area of Spherical Segment, The Curved Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length formula is defined 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 center to base radius and top to top radius length of Spherical Segment. Curved Surface Area of Spherical Segment is denoted by CSA symbol.

How to calculate Curved Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length using this online calculator? To use this online calculator for Curved Surface Area 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 (l_Center-Base) & Top to Top Radius Length of Spherical Segment (l_Top-Top) and hit the calculate button. Here is how the Curved Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length calculation can be explained with given input values -> 282.7433 = 2*pi*10*(10-1.5-4).

FAQ

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

The Curved Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length formula is defined 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 center to base radius and top to top radius length of Spherical Segment and is represented as CSA = 2*pi*r*(r-l_Center-Base-l_Top-Top) or 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). 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 Curved Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length?

The Curved Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length formula is defined 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 center to base radius and top to top radius length of Spherical Segment is calculated using 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). To calculate Curved Surface Area 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 (l_Center-Base) & Top to Top Radius Length of Spherical Segment (l_Top-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 Curved Surface Area of Spherical Segment?

In this formula, Curved Surface Area 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 -

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

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