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Volume of Spherical Cap given Cap Radius Formula

GoVolume of Spherical Cap Formula

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

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

V - Volume of Spherical Cap?h - Height of Spherical Cap?r_Cap - Cap Radius of Spherical Cap?π - Archimedes' constant?

Volume of Spherical Cap given Cap Radius Example

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

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

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

435.6342 = \frac{3.1416 \cdot 4}{6} \cdot ((3 \cdot 8^{2}) + 4^{2})

435.6342m³ = \frac{3.1416 \cdot 4m}{6} \cdot ((3 \cdot {8m}^{2}) + {4m}^{2})

435.6342 = \frac{3.1416 \cdot 4}{6} \cdot ((3 \cdot 8^{2}) + 4^{2})

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Volume of Spherical Cap given Cap Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{π \cdot 4m}{6} \cdot ((3 \cdot {8m}^{2}) + {4m}^{2})

Next Step Substitute values of Constants

∴

V = \frac{3.1416 \cdot 4m}{6} \cdot ((3 \cdot {8m}^{2}) + {4m}^{2})

Next Step Prepare to Evaluate

∴

V = \frac{3.1416 \cdot 4}{6} \cdot ((3 \cdot 8^{2}) + 4^{2})

Next Step Evaluate

∴

V = 435.634181297785m³

LAST Step Rounding Answer

∴

V = 435.6342m³

Volume of Spherical Cap given Cap 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

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

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

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 Sphere Radius

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

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}))

How to Evaluate Volume of Spherical Cap given Cap Radius?

Volume of Spherical Cap given Cap Radius evaluator uses Volume of Spherical Cap = (pi*Height of Spherical Cap)/6*((3*Cap Radius of Spherical Cap^2)+Height of Spherical Cap^2) to evaluate the Volume of Spherical Cap, Volume of Spherical Cap given Cap 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 cap radius and height of the Spherical Cap. Volume of Spherical Cap is denoted by V symbol.

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

FAQs on Volume of Spherical Cap given Cap Radius

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

The formula of Volume of Spherical Cap given Cap Radius is expressed as Volume of Spherical Cap = (pi*Height of Spherical Cap)/6*((3*Cap Radius of Spherical Cap^2)+Height of Spherical Cap^2). Here is an example- 435.6342 = (pi*4)/6*((3*8^2)+4^2).

How to calculate Volume of Spherical Cap given Cap Radius?

With Height of Spherical Cap (h) & Cap Radius of Spherical Cap (r_Cap) we can find Volume of Spherical Cap given Cap Radius using the formula - Volume of Spherical Cap = (pi*Height of Spherical Cap)/6*((3*Cap Radius of Spherical Cap^2)+Height of Spherical Cap^2). 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=(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)
Volume of Spherical Cap=Height of Spherical Cap/3*((3*Curved Surface Area of Spherical Cap)/2-(pi*Height of Spherical Cap^2))

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

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

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

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

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Volume of Spherical Cap given Cap Radius Formula

​GoVolume of Spherical Cap Formula

​GoVolume of Spherical Cap given Curved Surface Area and Sphere Radius Formula

Volume of Spherical Cap given Cap Radius Example

Volume of Spherical Cap given Cap Radius Solution

Volume of Spherical Cap given Cap Radius Formula Elements

Other Formulas to find Volume of Spherical Cap

How to Evaluate Volume of Spherical Cap given Cap Radius?

FAQs on Volume of Spherical Cap given Cap Radius

Variable Name

GoVolume of Spherical Cap Formula

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