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Height of Spherical Segment given Total Surface Area and Radius Formula

GoHeight of Spherical Segment given Center to Base and Top to Top Radius Length Formula

GoHeight of Spherical Segment given Curved Surface Area and Radius Formula

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

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

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

Height of Spherical Segment given Total Surface Area and Radius Example

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

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

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

5.0099 = \frac{830 - (3.1416 \cdot (10^{2} + 8^{2}))}{2 \cdot 3.1416 \cdot 10}

5.0099m = \frac{830m² - (3.1416 \cdot ({10m}^{2} + {8m}^{2}))}{2 \cdot 3.1416 \cdot 10m}

5.0099 = \frac{830 - (3.1416 \cdot (10^{2} + 8^{2}))}{2 \cdot 3.1416 \cdot 10}

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Height of Spherical Segment given Total Surface Area and Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

h = 5.00986027662731m

LAST Step Rounding Answer

∴

h = 5.0099m

Height of Spherical Segment given Total Surface Area and Radius Formula Elements

Variables

Constants

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

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

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

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 Height of Spherical Segment

Go Height of Spherical Segment given Center to Base and Top to Top Radius Length

h = r - l Center-Base - l Top-Top

Go Height of Spherical Segment given Curved Surface Area and Radius

h = \frac{CSA}{2 \cdot π \cdot r}

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

Height of Spherical Segment given Total Surface Area and Radius evaluator uses Height of Spherical Segment = (Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)))/(2*pi*Radius of Spherical Segment) to evaluate the Height of Spherical Segment, The Height of Spherical Segment given Total Surface Area and Radius formula is defined as the vertical distance between top and bottom circular faces of the Spherical Segment, and calculated using the total surface area and radius of Spherical Segment. Height of Spherical Segment is denoted by h symbol.

How to evaluate Height of Spherical Segment given Total Surface Area and Radius using this online evaluator? To use this online evaluator for Height of Spherical Segment given Total Surface Area and Radius, enter Total Surface Area of Spherical Segment (TSA), Base Radius of Spherical Segment (r_Base), Top Radius of Spherical Segment (r_Top) & Radius of Spherical Segment (r) and hit the calculate button.

FAQs on Height of Spherical Segment given Total Surface Area and Radius

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

The formula of Height of Spherical Segment given Total Surface Area and Radius is expressed as Height of Spherical Segment = (Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)))/(2*pi*Radius of Spherical Segment). Here is an example- 5.00986 = (830-(pi*(10^2+8^2)))/(2*pi*10).

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

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

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

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

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

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

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

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

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

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Height of Spherical Segment given Total Surface Area and Radius Formula

​GoHeight of Spherical Segment given Center to Base and Top to Top Radius Length Formula

​GoHeight of Spherical Segment given Curved Surface Area and Radius Formula

Height of Spherical Segment given Total Surface Area and Radius Example

Height of Spherical Segment given Total Surface Area and Radius Solution

Height of Spherical Segment given Total Surface Area and Radius Formula Elements

Other Formulas to find Height of Spherical Segment

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

FAQs on Height of Spherical Segment given Total Surface Area and Radius

Variable Name

GoHeight of Spherical Segment given Center to Base and Top to Top Radius Length Formula

GoHeight of Spherical Segment given Curved Surface Area and Radius Formula