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Total Surface Area of Spherical Segment is the quantity of plane enclosed on the entire surface of the Spherical Segment. Check FAQs
TSA=π⋅((2⋅(lCenter-Base+h+lTop-Top)⋅h)+rBase2+rTop2)
TSA - Total Surface Area of Spherical Segment?lCenter-Base - Center to Base Radius Length of Spherical Segment?h - Height of Spherical Segment?lTop-Top - Top to Top Radius Length of Spherical Segment?rBase - Base Radius of Spherical Segment?rTop - Top Radius of Spherical Segment?π - Archimedes' constant?

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

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Here is how the Total Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length equation looks like with Values.

Here is how the Total Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length equation looks like with Units.

Here is how the Total Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length equation looks like.

845.0884Edit=3.1416⋅((2⋅(1.5Edit+5Edit+4Edit)⋅5Edit)+10Edit2+8Edit2)
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Total Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length Solution

Follow our step by step solution on how to calculate Total Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length?

FIRST Step Consider the formula
TSA=π⋅((2⋅(lCenter-Base+h+lTop-Top)⋅h)+rBase2+rTop2)
Next Step Substitute values of Variables
∴ TSA=π⋅((2⋅(1.5m+5m+4m)⋅5m)+10m2+8m2)
Next Step Substitute values of Constants
∴ TSA=3.1416⋅((2⋅(1.5m+5m+4m)⋅5m)+10m2+8m2)
Next Step Prepare to Evaluate
∴ TSA=3.1416⋅((2⋅(1.5+5+4)⋅5)+102+82)
Next Step Evaluate
∴TSA=845.088423815654m²
LAST Step Rounding Answer
∴TSA=845.0884m²

Total Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length 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 SegmentOpen Variable
Center to Base Radius Length of Spherical Segment
Center to Base Radius Length of Spherical Segment is the distance measured from the center of Spherical Segment to Base Radius of Spherical Segment.
Symbol: lCenter-Base
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Center to Base Radius Length of Spherical SegmentOpen Variable
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 SegmentOpen Variable
Top to Top Radius Length 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.
Symbol: lTop-Top
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Top to Top Radius Length of Spherical SegmentOpen Variable
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: rBase
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Base Radius of Spherical SegmentOpen Variable
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: rTop
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Top Radius of Spherical SegmentOpen Variable
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
TSA=π⋅((2⋅r⋅h)+rBase2+rTop2)
​Go Total Surface Area of Spherical Segment given Curved Surface Area
TSA=CSA+(π⋅(rBase2+rTop2))

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

Total Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length evaluator uses 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) to evaluate the Total Surface Area of Spherical Segment, The Total 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 the entire surface of the Spherical Segment, and calculated using the center to base radius and top to top radius length of Spherical Segment. Total Surface Area of Spherical Segment is denoted by TSA symbol.

How to evaluate Total Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length using this online evaluator? To use this online evaluator for Total Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length, enter Center to Base Radius Length of Spherical Segment (lCenter-Base), Height of Spherical Segment (h), Top to Top Radius Length of Spherical Segment (lTop-Top), Base Radius of Spherical Segment (rBase) & Top Radius of Spherical Segment (rTop) and hit the calculate button.

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

What is the formula to find Total Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length?
The formula of Total Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length is expressed as 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). Here is an example- 845.0884 = pi*((2*(1.5+5+4)*5)+10^2+8^2).
How to calculate Total Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length?
With Center to Base Radius Length of Spherical Segment (lCenter-Base), Height of Spherical Segment (h), Top to Top Radius Length of Spherical Segment (lTop-Top), Base Radius of Spherical Segment (rBase) & Top Radius of Spherical Segment (rTop) we can find Total Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length using the formula - 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). 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*Radius of Spherical Segment*Height of Spherical Segment)+Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)OpenImg
  • 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))OpenImg
Can the Total Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length be negative?
No, the Total Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length, measured in Area cannot be negative.
Which unit is used to measure Total Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length?
Total Surface Area of Spherical Segment given Center to Base and Top to Top Radius Length 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 given Center to Base and Top to Top Radius Length can be measured.
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