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Radius of Spherical Segment given Total Surface Area Formula

GoRadius of Spherical Segment Formula

GoRadius of Spherical Segment given Curved Surface Area Formula

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Radius of Spherical Segment is the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded. Check FAQs

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

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

Radius of Spherical Segment given Total Surface Area Example

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

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

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

10.0197 = \frac{830 - (3.1416 \cdot (10^{2} + 8^{2}))}{2 \cdot 3.1416 \cdot 5}

10.0197m = \frac{830m² - (3.1416 \cdot ({10m}^{2} + {8m}^{2}))}{2 \cdot 3.1416 \cdot 5m}

10.0197 = \frac{830 - (3.1416 \cdot (10^{2} + 8^{2}))}{2 \cdot 3.1416 \cdot 5}

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Radius of Spherical Segment given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r = \frac{830m² - (π \cdot ({10m}^{2} + {8m}^{2}))}{2 \cdot π \cdot 5m}

Next Step Substitute values of Constants

∴

r = \frac{830m² - (3.1416 \cdot ({10m}^{2} + {8m}^{2}))}{2 \cdot 3.1416 \cdot 5m}

Next Step Prepare to Evaluate

∴

r = \frac{830 - (3.1416 \cdot (10^{2} + 8^{2}))}{2 \cdot 3.1416 \cdot 5}

Next Step Evaluate

∴

r = 10.0197205532546m

LAST Step Rounding Answer

∴

r = 10.0197m

Radius of Spherical Segment given Total Surface Area Formula Elements

Variables

Constants

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

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

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

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

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 Radius of Spherical Segment

Go Radius of Spherical Segment

r = \sqrt{{r Base}^{2} + {(\frac{{r Base}^{2} - {r Top}^{2} - h^{2}}{2 \cdot h})}^{2}}

Go Radius of Spherical Segment given Curved Surface Area

r = \frac{CSA}{2 \cdot π \cdot h}

How to Evaluate Radius of Spherical Segment given Total Surface Area?

Radius of Spherical Segment given Total Surface Area evaluator uses Radius of Spherical Segment = (Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)))/(2*pi*Height of Spherical Segment) to evaluate the Radius of Spherical Segment, The Radius of Spherical Segment given Total Surface Area formula is defined as the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded, and calculated using the total surface area of Spherical Segment. Radius of Spherical Segment is denoted by r symbol.

How to evaluate Radius of Spherical Segment given Total Surface Area using this online evaluator? To use this online evaluator for Radius 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) & Height of Spherical Segment (h) and hit the calculate button.

FAQs on Radius of Spherical Segment given Total Surface Area

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

The formula of Radius of Spherical Segment given Total Surface Area is expressed as Radius of Spherical Segment = (Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)))/(2*pi*Height of Spherical Segment). Here is an example- 10.01972 = (830-(pi*(10^2+8^2)))/(2*pi*5).

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

With Total Surface Area of Spherical Segment (TSA), Base Radius of Spherical Segment (r_Base), Top Radius of Spherical Segment (r_Top) & Height of Spherical Segment (h) we can find Radius of Spherical Segment given Total Surface Area using the formula - Radius of Spherical Segment = (Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)))/(2*pi*Height of Spherical Segment). This formula also uses Archimedes' constant .

What are the other ways to Calculate Radius of Spherical Segment?

Here are the different ways to Calculate Radius of Spherical Segment-

Radius of Spherical Segment=sqrt(Base Radius of Spherical Segment^2+((Base Radius of Spherical Segment^2-Top Radius of Spherical Segment^2-Height of Spherical Segment^2)/(2*Height of Spherical Segment))^2)
Radius of Spherical Segment=Curved Surface Area of Spherical Segment/(2*pi*Height of Spherical Segment)

Can the Radius of Spherical Segment given Total Surface Area be negative?

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

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

Radius of Spherical Segment given Total Surface Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of Spherical Segment given Total Surface Area can be measured.

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: Unit

Radius of Spherical Segment given Total Surface Area Formula

​GoRadius of Spherical Segment Formula

​GoRadius of Spherical Segment given Curved Surface Area Formula

Radius of Spherical Segment given Total Surface Area Example

Radius of Spherical Segment given Total Surface Area Solution

Radius of Spherical Segment given Total Surface Area Formula Elements

Other Formulas to find Radius of Spherical Segment

How to Evaluate Radius of Spherical Segment given Total Surface Area?

FAQs on Radius of Spherical Segment given Total Surface Area

Variable Name

GoRadius of Spherical Segment Formula

GoRadius of Spherical Segment given Curved Surface Area Formula