FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Total Surface Area of Spherical Segment Formula

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

GoTotal Surface Area of Spherical Segment given Curved Surface Area Formula

Fx Copy

LaTeX Copy

Total Surface Area of Spherical Segment is the quantity of plane enclosed on the entire surface of the Spherical Segment. Check FAQs

TSA = π \cdot ((2 \cdot r \cdot h) + {r Base}^{2} + {r Top}^{2})

TSA - Total Surface Area of Spherical Segment?r - Radius of Spherical Segment?h - Height of Spherical Segment?r_Base - Base Radius of Spherical Segment?r_Top - Top Radius of Spherical Segment?π - Archimedes' constant?

Total Surface Area of Spherical Segment Example

With values

With units

Only example

Here is how the Total Surface Area of Spherical Segment equation looks like with Values.

Here is how the Total Surface Area of Spherical Segment equation looks like with Units.

Here is how the Total Surface Area of Spherical Segment equation looks like.

829.3805 = 3.1416 \cdot ((2 \cdot 10 \cdot 5) + 10^{2} + 8^{2})

829.3805m² = 3.1416 \cdot ((2 \cdot 10m \cdot 5m) + {10m}^{2} + {8m}^{2})

829.3805 = 3.1416 \cdot ((2 \cdot 10 \cdot 5) + 10^{2} + 8^{2})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Total Surface Area of Spherical Segment

Total Surface Area of Spherical Segment Solution

Follow our step by step solution on how to calculate Total Surface Area of Spherical Segment?

FIRST Step Consider the formula

TSA = π \cdot ((2 \cdot r \cdot h) + {r Base}^{2} + {r Top}^{2})

Next Step Substitute values of Variables

∴

TSA = π \cdot ((2 \cdot 10m \cdot 5m) + {10m}^{2} + {8m}^{2})

Next Step Substitute values of Constants

∴

TSA = 3.1416 \cdot ((2 \cdot 10m \cdot 5m) + {10m}^{2} + {8m}^{2})

Next Step Prepare to Evaluate

∴

TSA = 3.1416 \cdot ((2 \cdot 10 \cdot 5) + 10^{2} + 8^{2})

Next Step Evaluate

∴

TSA = 829.380460547705m²

LAST Step Rounding Answer

∴

TSA = 829.3805m²

Total Surface Area of Spherical Segment Formula Elements

Variables

Constants

Total Surface Area of Spherical Segment

Total Surface Area of Spherical Segment is the quantity of plane enclosed on the entire surface of the Spherical Segment.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Spherical Segment

Radius 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.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Spherical Segment

Height of Spherical Segment

Height of Spherical Segment is the vertical distance between top and bottom circular faces of the Spherical Segment.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Spherical Segment

Base Radius of 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.

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Spherical Segment

Top Radius of 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.

Symbol: r_Top

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Radius of Spherical Segment

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Total Surface Area of Spherical Segment

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

TSA = π \cdot ((2 \cdot (l Center-Base + h + l Top-Top) \cdot h) + {r Base}^{2} + {r Top}^{2})

Go Total Surface Area of Spherical Segment given Curved Surface Area

TSA = CSA + (π \cdot ({r Base}^{2} + {r Top}^{2}))

How to Evaluate Total Surface Area of Spherical Segment?

Total Surface Area of Spherical Segment evaluator 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 evaluate 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 evaluate Total Surface Area of Spherical Segment using this online evaluator? To use this online evaluator 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.

FAQs on Total Surface Area of Spherical Segment

What is the formula to find Total Surface Area of Spherical Segment?

The formula of Total Surface Area of Spherical Segment is expressed as 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). Here is an example- 829.3805 = pi*((2*10*5)+10^2+8^2).

How to calculate Total Surface Area of Spherical Segment?

With Radius of Spherical Segment (r), Height of Spherical Segment (h), Base Radius of Spherical Segment (r_Base) & Top Radius of Spherical Segment (r_Top) we can find Total Surface Area of Spherical Segment using the formula - 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). This formula also uses Archimedes' constant .

What are the other ways to Calculate Total Surface Area of Spherical Segment?

Here are the different ways to Calculate Total Surface Area of Spherical Segment-

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))

Can the Total Surface Area of Spherical Segment be negative?

No, the Total Surface Area of Spherical Segment, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Spherical Segment?

Total Surface Area of Spherical Segment is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Spherical Segment can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Total Surface Area of Spherical Segment Formula

​GoTotal Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length Formula

​GoTotal Surface Area of Spherical Segment given Curved Surface Area Formula

Total Surface Area of Spherical Segment Example

Total Surface Area of Spherical Segment Solution

Total Surface Area of Spherical Segment Formula Elements

Other Formulas to find Total Surface Area of Spherical Segment

How to Evaluate Total Surface Area of Spherical Segment?

FAQs on Total Surface Area of Spherical Segment

Variable Name

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

GoTotal Surface Area of Spherical Segment given Curved Surface Area Formula