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Volume of Spherical Cap given Curved Surface Area and Height 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{h}{3} \cdot (\frac{3 \cdot CSA}{2} - (π \cdot h^{2}))

V - Volume of Spherical Cap?h - Height of Spherical Cap?CSA - Curved Surface Area of Spherical Cap?π - Archimedes' constant?

Volume of Spherical Cap given Curved Surface Area and Height Example

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

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

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

432.9794 = \frac{4}{3} \cdot (\frac{3 \cdot 250}{2} - (3.1416 \cdot 4^{2}))

432.9794m³ = \frac{4m}{3} \cdot (\frac{3 \cdot 250m²}{2} - (3.1416 \cdot {4m}^{2}))

432.9794 = \frac{4}{3} \cdot (\frac{3 \cdot 250}{2} - (3.1416 \cdot 4^{2}))

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Volume of Spherical Cap given Curved Surface Area and Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{4m}{3} \cdot (\frac{3 \cdot 250m²}{2} - (π \cdot {4m}^{2}))

Next Step Substitute values of Constants

∴

V = \frac{4m}{3} \cdot (\frac{3 \cdot 250m²}{2} - (3.1416 \cdot {4m}^{2}))

Next Step Prepare to Evaluate

∴

V = \frac{4}{3} \cdot (\frac{3 \cdot 250}{2} - (3.1416 \cdot 4^{2}))

Next Step Evaluate

∴

V = 432.979356723418m³

LAST Step Rounding Answer

∴

V = 432.9794m³

Volume of Spherical Cap given Curved Surface Area and Height 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

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

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 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 Height?

Volume of Spherical Cap given Curved Surface Area and Height evaluator uses Volume of Spherical Cap = Height of Spherical Cap/3*((3*Curved Surface Area of Spherical Cap)/2-(pi*Height of Spherical Cap^2)) to evaluate the Volume of Spherical Cap, Volume of Spherical Cap given Curved Surface Area and Height 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 height 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 Height using this online evaluator? To use this online evaluator for Volume of Spherical Cap given Curved Surface Area and Height, enter Height of Spherical Cap (h) & Curved Surface Area of Spherical Cap (CSA) and hit the calculate button.

FAQs on Volume of Spherical Cap given Curved Surface Area and Height

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

The formula of Volume of Spherical Cap given Curved Surface Area and Height is expressed as Volume of Spherical Cap = Height of Spherical Cap/3*((3*Curved Surface Area of Spherical Cap)/2-(pi*Height of Spherical Cap^2)). Here is an example- 432.9794 = 4/3*((3*250)/2-(pi*4^2)).

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

With Height of Spherical Cap (h) & Curved Surface Area of Spherical Cap (CSA) we can find Volume of Spherical Cap given Curved Surface Area and Height using the formula - Volume of Spherical Cap = Height of Spherical Cap/3*((3*Curved Surface Area of Spherical Cap)/2-(pi*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=(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 Height be negative?

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

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

Volume of Spherical Cap given Curved Surface Area and Height 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 Height can be measured.

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Volume of Spherical Cap given Curved Surface Area and Height Formula

​GoVolume of Spherical Cap Formula

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

Volume of Spherical Cap given Curved Surface Area and Height Example

Volume of Spherical Cap given Curved Surface Area and Height Solution

Volume of Spherical Cap given Curved Surface Area and Height Formula Elements

Other Formulas to find Volume of Spherical Cap

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

FAQs on Volume of Spherical Cap given Curved Surface Area and Height

Variable Name

GoVolume of Spherical Cap Formula

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