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Height of Spherical Cap given Cap Radius Formula

GoHeight of Spherical Cap given Total Surface Area and Cap Radius Formula

GoHeight of Spherical Cap given Curved Surface Area Formula

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Height of Spherical Cap is the maximum vertical distance from the base circle to the curved surface of the Spherical Cap. Check FAQs

h = r Sphere - \sqrt{{r Sphere}^{2} - {r Cap}^{2}}

h - Height of Spherical Cap?r_Sphere - Sphere Radius of Spherical Cap?r_Cap - Cap Radius of Spherical Cap?

Height of Spherical Cap given Cap Radius Example

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Here is how the Height of Spherical Cap given Cap Radius equation looks like with Values.

Here is how the Height of Spherical Cap given Cap Radius equation looks like with Units.

Here is how the Height of Spherical Cap given Cap Radius equation looks like.

4 = 10 - \sqrt{10^{2} - 8^{2}}

4m = 10m - \sqrt{{10m}^{2} - {8m}^{2}}

4 = 10 - \sqrt{10^{2} - 8^{2}}

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Height of Spherical Cap given Cap Radius Solution

Follow our step by step solution on how to calculate Height of Spherical Cap given Cap Radius?

FIRST Step Consider the formula

h = r Sphere - \sqrt{{r Sphere}^{2} - {r Cap}^{2}}

Next Step Substitute values of Variables

∴

h = 10m - \sqrt{{10m}^{2} - {8m}^{2}}

Next Step Prepare to Evaluate

∴

h = 10 - \sqrt{10^{2} - 8^{2}}

LAST Step Evaluate

∴

h = 4m

Height of Spherical Cap given Cap Radius Formula Elements

Variables

Functions

Height of Spherical Cap

Height of Spherical Cap is the maximum vertical distance from the base circle to the curved surface of the Spherical Cap.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Spherical Cap

Sphere Radius of Spherical Cap

Sphere Radius of Spherical Cap is the radius of the sphere from which the Spherical Cap shape is cut.

Symbol: r_Sphere

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Sphere Radius of Spherical Cap

Cap Radius of Spherical Cap

Cap Radius of Spherical Cap is the radius of the base circle of a Spherical Cap.

Symbol: r_Cap

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cap Radius of Spherical Cap

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Height of Spherical Cap

Go Height of Spherical Cap given Total Surface Area and Cap Radius

h = \frac{TSA - (π \cdot {r Cap}^{2})}{2 \cdot π \cdot r Sphere}

Go Height of Spherical Cap given Curved Surface Area

h = \frac{CSA}{2 \cdot π \cdot r Sphere}

How to Evaluate Height of Spherical Cap given Cap Radius?

Height of Spherical Cap given Cap Radius evaluator uses Height of Spherical Cap = Sphere Radius of Spherical Cap-sqrt(Sphere Radius of Spherical Cap^2-Cap Radius of Spherical Cap^2) to evaluate the Height of Spherical Cap, Height of Spherical Cap given Cap Radius formula is defined as the maximum vertical distance from the base circle to the curved surface of the Spherical Cap, and calculated using the cap radius and sphere radius of the Spherical Cap. Height of Spherical Cap is denoted by h symbol.

How to evaluate Height of Spherical Cap given Cap Radius using this online evaluator? To use this online evaluator for Height of Spherical Cap given Cap Radius, enter Sphere Radius of Spherical Cap (r_Sphere) & Cap Radius of Spherical Cap (r_Cap) and hit the calculate button.

FAQs on Height of Spherical Cap given Cap Radius

What is the formula to find Height of Spherical Cap given Cap Radius?

The formula of Height of Spherical Cap given Cap Radius is expressed as Height of Spherical Cap = Sphere Radius of Spherical Cap-sqrt(Sphere Radius of Spherical Cap^2-Cap Radius of Spherical Cap^2). Here is an example- 4 = 10-sqrt(10^2-8^2).

How to calculate Height of Spherical Cap given Cap Radius?

With Sphere Radius of Spherical Cap (r_Sphere) & Cap Radius of Spherical Cap (r_Cap) we can find Height of Spherical Cap given Cap Radius using the formula - Height of Spherical Cap = Sphere Radius of Spherical Cap-sqrt(Sphere Radius of Spherical Cap^2-Cap Radius of Spherical Cap^2). This formula also uses Square Root (sqrt) function(s).

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

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

Height of Spherical Cap=(Total Surface Area of Spherical Cap-(pi*Cap Radius of Spherical Cap^2))/(2*pi*Sphere Radius of Spherical Cap)
Height of Spherical Cap=Curved Surface Area of Spherical Cap/(2*pi*Sphere Radius of Spherical Cap)

Can the Height of Spherical Cap given Cap Radius be negative?

No, the Height of Spherical Cap given Cap Radius, measured in Length cannot be negative.

Which unit is used to measure Height of Spherical Cap given Cap Radius?

Height of Spherical Cap given Cap 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 Cap given Cap Radius can be measured.

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Height of Spherical Cap given Cap Radius Formula

​GoHeight of Spherical Cap given Total Surface Area and Cap Radius Formula

​GoHeight of Spherical Cap given Curved Surface Area Formula

Height of Spherical Cap given Cap Radius Example

Height of Spherical Cap given Cap Radius Solution

Height of Spherical Cap given Cap Radius Formula Elements

Other Formulas to find Height of Spherical Cap

How to Evaluate Height of Spherical Cap given Cap Radius?

FAQs on Height of Spherical Cap given Cap Radius

Variable Name

GoHeight of Spherical Cap given Total Surface Area and Cap Radius Formula

GoHeight of Spherical Cap given Curved Surface Area Formula