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Cap Radius of Spherical Cap given Volume Formula

GoCap Radius of Spherical Cap Formula

GoCap Radius of Spherical Cap given Total Surface Area Formula

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

r Cap = \sqrt{\frac{2 \cdot V}{π \cdot h} - \frac{h^{2}}{3}}

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

Cap Radius of Spherical Cap given Volume Example

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

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

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

8.0433 = \sqrt{\frac{2 \cdot 440}{3.1416 \cdot 4} - \frac{4^{2}}{3}}

8.0433m = \sqrt{\frac{2 \cdot 440m³}{3.1416 \cdot 4m} - \frac{{4m}^{2}}{3}}

8.0433 = \sqrt{\frac{2 \cdot 440}{3.1416 \cdot 4} - \frac{4^{2}}{3}}

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Cap Radius of Spherical Cap given Volume Solution

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

FIRST Step Consider the formula

r Cap = \sqrt{\frac{2 \cdot V}{π \cdot h} - \frac{h^{2}}{3}}

Next Step Substitute values of Variables

∴

r Cap = \sqrt{\frac{2 \cdot 440m³}{π \cdot 4m} - \frac{{4m}^{2}}{3}}

Next Step Substitute values of Constants

∴

r Cap = \sqrt{\frac{2 \cdot 440m³}{3.1416 \cdot 4m} - \frac{{4m}^{2}}{3}}

Next Step Prepare to Evaluate

∴

r Cap = \sqrt{\frac{2 \cdot 440}{3.1416 \cdot 4} - \frac{4^{2}}{3}}

Next Step Evaluate

∴

r Cap = 8.04331036496172m

LAST Step Rounding Answer

∴

r Cap = 8.0433m

Cap Radius of Spherical Cap given Volume Formula Elements

Variables

Constants

Functions

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

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

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

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 Cap Radius of Spherical Cap

Go Cap Radius of Spherical Cap

r Cap = \sqrt{h \cdot ((2 \cdot r Sphere) - h)}

Go Cap Radius of Spherical Cap given Total Surface Area

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

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

r Cap = \sqrt{\frac{TSA - CSA}{π}}

How to Evaluate Cap Radius of Spherical Cap given Volume?

Cap Radius of Spherical Cap given Volume evaluator uses Cap Radius of Spherical Cap = sqrt((2*Volume of Spherical Cap)/(pi*Height of Spherical Cap)-(Height of Spherical Cap^2)/3) to evaluate the Cap Radius of Spherical Cap, Cap Radius of Spherical Cap given Volume formula is defined as the radius of the base circle of a Spherical Cap, and calculated using the volume and height of the Spherical Cap. Cap Radius of Spherical Cap is denoted by r_Cap symbol.

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

FAQs on Cap Radius of Spherical Cap given Volume

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

The formula of Cap Radius of Spherical Cap given Volume is expressed as Cap Radius of Spherical Cap = sqrt((2*Volume of Spherical Cap)/(pi*Height of Spherical Cap)-(Height of Spherical Cap^2)/3). Here is an example- 8.04331 = sqrt((2*440)/(pi*4)-(4^2)/3).

How to calculate Cap Radius of Spherical Cap given Volume?

With Volume of Spherical Cap (V) & Height of Spherical Cap (h) we can find Cap Radius of Spherical Cap given Volume using the formula - Cap Radius of Spherical Cap = sqrt((2*Volume of Spherical Cap)/(pi*Height of Spherical Cap)-(Height of Spherical Cap^2)/3). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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

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

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

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

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

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

Cap Radius of Spherical Cap given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Cap Radius of Spherical Cap given Volume can be measured.

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Cap Radius of Spherical Cap given Volume Formula

​GoCap Radius of Spherical Cap Formula

​GoCap Radius of Spherical Cap given Total Surface Area Formula

Cap Radius of Spherical Cap given Volume Example

Cap Radius of Spherical Cap given Volume Solution

Cap Radius of Spherical Cap given Volume Formula Elements

Other Formulas to find Cap Radius of Spherical Cap

How to Evaluate Cap Radius of Spherical Cap given Volume?

FAQs on Cap Radius of Spherical Cap given Volume

Variable Name

GoCap Radius of Spherical Cap Formula

GoCap Radius of Spherical Cap given Total Surface Area Formula