FormulaDen.com

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

Volume of Spherical Cap given Curved Surface Area and Sphere Radius Formula

GoVolume of Spherical Cap Formula

GoVolume of Spherical Cap given Curved Surface Area and Height Formula

Fx Copy

LaTeX Copy

Volume of Spherical Cap is the total quantity of three dimensional space enclosed by the entire surface of the Spherical Cap. Check FAQs

V = \frac{{CSA}^{2} \cdot ((6 \cdot π \cdot {r Sphere}^{2}) - CSA)}{24 \cdot π^{2} \cdot {r Sphere}^{3}}

V - Volume of Spherical Cap?CSA - Curved Surface Area of Spherical Cap?r_Sphere - Sphere Radius of Spherical Cap?π - Archimedes' constant?

Volume of Spherical Cap given Curved Surface Area and Sphere Radius Example

With values

With units

Only example

Here is how the Volume of Spherical Cap given Curved Surface Area and Sphere Radius equation looks like with Values.

Here is how the Volume of Spherical Cap given Curved Surface Area and Sphere Radius equation looks like with Units.

Here is how the Volume of Spherical Cap given Curved Surface Area and Sphere Radius equation looks like.

431.3949 = \frac{250^{2} \cdot ((6 \cdot 3.1416 \cdot 10^{2}) - 250)}{24 \cdot {3.1416}^{2} \cdot 10^{3}}

431.3949m³ = \frac{{250m²}^{2} \cdot ((6 \cdot 3.1416 \cdot {10m}^{2}) - 250m²)}{24 \cdot {3.1416}^{2} \cdot {10m}^{3}}

431.3949 = \frac{250^{2} \cdot ((6 \cdot 3.1416 \cdot 10^{2}) - 250)}{24 \cdot {3.1416}^{2} \cdot 10^{3}}

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 Volume of Spherical Cap given Curved Surface Area and Sphere Radius

Volume of Spherical Cap given Curved Surface Area and Sphere Radius Solution

Follow our step by step solution on how to calculate Volume of Spherical Cap given Curved Surface Area and Sphere Radius?

FIRST Step Consider the formula

V = \frac{{CSA}^{2} \cdot ((6 \cdot π \cdot {r Sphere}^{2}) - CSA)}{24 \cdot π^{2} \cdot {r Sphere}^{3}}

Next Step Substitute values of Variables

∴

V = \frac{{250m²}^{2} \cdot ((6 \cdot π \cdot {10m}^{2}) - 250m²)}{24 \cdot π^{2} \cdot {10m}^{3}}

Next Step Substitute values of Constants

∴

V = \frac{{250m²}^{2} \cdot ((6 \cdot 3.1416 \cdot {10m}^{2}) - 250m²)}{24 \cdot {3.1416}^{2} \cdot {10m}^{3}}

Next Step Prepare to Evaluate

∴

V = \frac{250^{2} \cdot ((6 \cdot 3.1416 \cdot 10^{2}) - 250)}{24 \cdot {3.1416}^{2} \cdot 10^{3}}

Next Step Evaluate

∴

V = 431.394884895026m³

LAST Step Rounding Answer

∴

V = 431.3949m³

Volume of Spherical Cap given Curved Surface Area and Sphere Radius Formula Elements

Variables

Constants

Volume of Spherical Cap

Volume of Spherical Cap is the total quantity of three dimensional space enclosed by the entire surface of the Spherical Cap.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Spherical Cap

Curved Surface Area of Spherical Cap

Curved Surface Area of Spherical Cap is the total quantity of two dimensional space enclosed on the curved surface of the Spherical Cap.

Symbol: CSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Curved Surface Area 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 Volume of Spherical Cap

Go Volume of Spherical Cap

V = \frac{π \cdot h^{2}}{3} \cdot ((3 \cdot r Sphere) - h)

Go Volume of Spherical Cap given Curved Surface Area and Height

V = \frac{h}{3} \cdot (\frac{3 \cdot CSA}{2} - (π \cdot h^{2}))

Go Volume of Spherical Cap given Cap Radius

V = \frac{π \cdot h}{6} \cdot ((3 \cdot {r Cap}^{2}) + h^{2})

How to Evaluate Volume of Spherical Cap given Curved Surface Area and Sphere Radius?

Volume of Spherical Cap given Curved Surface Area and Sphere Radius evaluator uses Volume of Spherical Cap = (Curved Surface Area of Spherical Cap^2*((6*pi*Sphere Radius of Spherical Cap^2)-Curved Surface Area of Spherical Cap))/(24*pi^2*Sphere Radius of Spherical Cap^3) to evaluate the Volume of Spherical Cap, Volume of Spherical Cap given Curved Surface Area and Sphere Radius formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Spherical Cap, and calculated using the curved surface area and sphere radius of the Spherical Cap. Volume of Spherical Cap is denoted by V symbol.

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

FAQs on Volume of Spherical Cap given Curved Surface Area and Sphere Radius

What is the formula to find Volume of Spherical Cap given Curved Surface Area and Sphere Radius?

The formula of Volume of Spherical Cap given Curved Surface Area and Sphere Radius is expressed as Volume of Spherical Cap = (Curved Surface Area of Spherical Cap^2*((6*pi*Sphere Radius of Spherical Cap^2)-Curved Surface Area of Spherical Cap))/(24*pi^2*Sphere Radius of Spherical Cap^3). Here is an example- 431.3949 = (250^2*((6*pi*10^2)-250))/(24*pi^2*10^3).

How to calculate Volume of Spherical Cap given Curved Surface Area and Sphere Radius?

With Curved Surface Area of Spherical Cap (CSA) & Sphere Radius of Spherical Cap (r_Sphere) we can find Volume of Spherical Cap given Curved Surface Area and Sphere Radius using the formula - Volume of Spherical Cap = (Curved Surface Area of Spherical Cap^2*((6*pi*Sphere Radius of Spherical Cap^2)-Curved Surface Area of Spherical Cap))/(24*pi^2*Sphere Radius of Spherical Cap^3). This formula also uses Archimedes' constant .

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

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

Volume of Spherical Cap=(pi*Height of Spherical Cap^2)/3*((3*Sphere Radius of Spherical Cap)-Height of Spherical Cap)
Volume of Spherical Cap=Height of Spherical Cap/3*((3*Curved Surface Area of Spherical Cap)/2-(pi*Height of Spherical Cap^2))
Volume of Spherical Cap=(pi*Height of Spherical Cap)/6*((3*Cap Radius of Spherical Cap^2)+Height of Spherical Cap^2)

Can the Volume of Spherical Cap given Curved Surface Area and Sphere Radius be negative?

No, the Volume of Spherical Cap given Curved Surface Area and Sphere Radius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Spherical Cap given Curved Surface Area and Sphere Radius?

Volume of Spherical Cap given Curved Surface Area and Sphere Radius is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Spherical Cap given Curved Surface Area and Sphere Radius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Volume of Spherical Cap given Curved Surface Area and Sphere Radius Formula

​GoVolume of Spherical Cap Formula

​GoVolume of Spherical Cap given Curved Surface Area and Height Formula

Volume of Spherical Cap given Curved Surface Area and Sphere Radius Example

Volume of Spherical Cap given Curved Surface Area and Sphere Radius Solution

Volume of Spherical Cap given Curved Surface Area and Sphere Radius Formula Elements

Other Formulas to find Volume of Spherical Cap

How to Evaluate Volume of Spherical Cap given Curved Surface Area and Sphere Radius?

FAQs on Volume of Spherical Cap given Curved Surface Area and Sphere Radius

Variable Name

GoVolume of Spherical Cap Formula

GoVolume of Spherical Cap given Curved Surface Area and Height Formula