FormulaDen.com

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

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

GoHeight of Spherical Cap given Cap Radius Formula

GoHeight of Spherical Cap given Curved Surface Area Formula

Fx Copy

LaTeX Copy

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

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

h - Height of Spherical Cap?TSA - Total Surface Area of Spherical Cap?r_Cap - Cap Radius of Spherical Cap?r_Sphere - Sphere Radius of Spherical Cap?π - Archimedes' constant?

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

With values

With units

Only example

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

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

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

3.962 = \frac{450 - (3.1416 \cdot 8^{2})}{2 \cdot 3.1416 \cdot 10}

3.962m = \frac{450m² - (3.1416 \cdot {8m}^{2})}{2 \cdot 3.1416 \cdot 10m}

3.962 = \frac{450 - (3.1416 \cdot 8^{2})}{2 \cdot 3.1416 \cdot 10}

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 Height of Spherical Cap given Total Surface Area and Cap Radius

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{450m² - (π \cdot {8m}^{2})}{2 \cdot π \cdot 10m}

Next Step Substitute values of Constants

∴

h = \frac{450m² - (3.1416 \cdot {8m}^{2})}{2 \cdot 3.1416 \cdot 10m}

Next Step Prepare to Evaluate

∴

h = \frac{450 - (3.1416 \cdot 8^{2})}{2 \cdot 3.1416 \cdot 10}

Next Step Evaluate

∴

h = 3.96197243913529m

LAST Step Rounding Answer

∴

h = 3.962m

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

Variables

Constants

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

Total Surface Area of Spherical Cap

Total Surface Area of Spherical Cap is the total quantity of two dimensional space enclosed on the base and curved surfaces of the Spherical Cap.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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

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

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 Cap

Go Height of Spherical Cap given Cap Radius

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

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 Total Surface Area and Cap Radius?

Height of Spherical Cap given Total Surface Area and Cap Radius evaluator uses Height of Spherical Cap = (Total Surface Area of Spherical Cap-(pi*Cap Radius of Spherical Cap^2))/(2*pi*Sphere Radius of Spherical Cap) to evaluate the Height of Spherical Cap, Height of Spherical Cap given Total Surface Area and 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 total surface area, sphere radius and cap radius of the Spherical Cap. Height of Spherical Cap is denoted by h symbol.

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

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

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

The formula of Height of Spherical Cap given Total Surface Area and Cap Radius is expressed as Height of Spherical Cap = (Total Surface Area of Spherical Cap-(pi*Cap Radius of Spherical Cap^2))/(2*pi*Sphere Radius of Spherical Cap). Here is an example- 3.961972 = (450-(pi*8^2))/(2*pi*10).

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

With Total Surface Area of Spherical Cap (TSA), Cap Radius of Spherical Cap (r_Cap) & Sphere Radius of Spherical Cap (r_Sphere) we can find Height of Spherical Cap given Total Surface Area and Cap Radius using the formula - Height of Spherical Cap = (Total Surface Area of Spherical Cap-(pi*Cap Radius of Spherical Cap^2))/(2*pi*Sphere Radius of Spherical Cap). This formula also uses Archimedes' constant .

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

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

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

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

Height of Spherical Cap given Total Surface Area and 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 Total Surface Area and Cap Radius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

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

​GoHeight of Spherical Cap given Cap Radius Formula

​GoHeight of Spherical Cap given Curved Surface Area Formula

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

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

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

Other Formulas to find Height of Spherical Cap

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

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

Variable Name

GoHeight of Spherical Cap given Cap Radius Formula

GoHeight of Spherical Cap given Curved Surface Area Formula