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Cylinder Height of Capsule given Sphere Radius and Volume Formula

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Cylinder Height of Capsule is the distance between the lowest and highest points of the cylinder of the Capsule. Check FAQs

h Cylinder = \frac{V}{π \cdot {r Sphere}^{2}} - \frac{4 \cdot r Sphere}{3}

h_Cylinder - Cylinder Height of Capsule?V - Volume of Capsule?r_Sphere - Sphere Radius of Capsule?π - Archimedes' constant?

Cylinder Height of Capsule given Sphere Radius and Volume Example

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Here is how the Cylinder Height of Capsule given Sphere Radius and Volume equation looks like with Values.

Here is how the Cylinder Height of Capsule given Sphere Radius and Volume equation looks like with Units.

Here is how the Cylinder Height of Capsule given Sphere Radius and Volume equation looks like.

10.0128 = \frac{1310}{3.1416 \cdot 5^{2}} - \frac{4 \cdot 5}{3}

10.0128m = \frac{1310m³}{3.1416 \cdot {5m}^{2}} - \frac{4 \cdot 5m}{3}

10.0128 = \frac{1310}{3.1416 \cdot 5^{2}} - \frac{4 \cdot 5}{3}

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Cylinder Height of Capsule given Sphere Radius and Volume Solution

Follow our step by step solution on how to calculate Cylinder Height of Capsule given Sphere Radius and Volume?

FIRST Step Consider the formula

h Cylinder = \frac{V}{π \cdot {r Sphere}^{2}} - \frac{4 \cdot r Sphere}{3}

Next Step Substitute values of Variables

∴

h Cylinder = \frac{1310m³}{π \cdot {5m}^{2}} - \frac{4 \cdot 5m}{3}

Next Step Substitute values of Constants

∴

h Cylinder = \frac{1310m³}{3.1416 \cdot {5m}^{2}} - \frac{4 \cdot 5m}{3}

Next Step Prepare to Evaluate

∴

h Cylinder = \frac{1310}{3.1416 \cdot 5^{2}} - \frac{4 \cdot 5}{3}

Next Step Evaluate

∴

h Cylinder = 10.012771369364m

LAST Step Rounding Answer

∴

h Cylinder = 10.0128m

Cylinder Height of Capsule given Sphere Radius and Volume Formula Elements

Variables

Constants

Cylinder Height of Capsule

Cylinder Height of Capsule is the distance between the lowest and highest points of the cylinder of the Capsule.

Symbol: h_Cylinder

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cylinder Height of Capsule

Volume of Capsule

Volume of Capsule is the amount of three-dimensional space covered by Capsule.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Capsule

Sphere Radius of Capsule

Sphere Radius of Capsule is a radial line from the focus to any point of a curve, of the Capsule.

Symbol: r_Sphere

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Sphere Radius of Capsule

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 Cylinder Height of Capsule

Go Cylinder Height of Capsule given Surface Area and Length

h Cylinder = l - \frac{TSA}{π \cdot l}

Go Cylinder Height of Capsule

h Cylinder = l - (2 \cdot r Sphere)

Go Cylinder Height of Capsule given Sphere Radius and Surface Area

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

How to Evaluate Cylinder Height of Capsule given Sphere Radius and Volume?

Cylinder Height of Capsule given Sphere Radius and Volume evaluator uses Cylinder Height of Capsule = Volume of Capsule/(pi*Sphere Radius of Capsule^2)-(4*Sphere Radius of Capsule)/3 to evaluate the Cylinder Height of Capsule, Cylinder Height of Capsule given Sphere Radius and Volume formula is defined as the distance between the lowest and highest points of the cylinder of the Capsule, calculated using sphere radius and volume. Cylinder Height of Capsule is denoted by h_Cylinder symbol.

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

FAQs on Cylinder Height of Capsule given Sphere Radius and Volume

What is the formula to find Cylinder Height of Capsule given Sphere Radius and Volume?

The formula of Cylinder Height of Capsule given Sphere Radius and Volume is expressed as Cylinder Height of Capsule = Volume of Capsule/(pi*Sphere Radius of Capsule^2)-(4*Sphere Radius of Capsule)/3. Here is an example- 10.01277 = 1310/(pi*5^2)-(4*5)/3.

How to calculate Cylinder Height of Capsule given Sphere Radius and Volume?

With Volume of Capsule (V) & Sphere Radius of Capsule (r_Sphere) we can find Cylinder Height of Capsule given Sphere Radius and Volume using the formula - Cylinder Height of Capsule = Volume of Capsule/(pi*Sphere Radius of Capsule^2)-(4*Sphere Radius of Capsule)/3. This formula also uses Archimedes' constant .

What are the other ways to Calculate Cylinder Height of Capsule?

Here are the different ways to Calculate Cylinder Height of Capsule-

Cylinder Height of Capsule=Length of Capsule-Total Surface Area of Capsule/(pi*Length of Capsule)
Cylinder Height of Capsule=Length of Capsule-(2*Sphere Radius of Capsule)
Cylinder Height of Capsule=Total Surface Area of Capsule/(2*pi*Sphere Radius of Capsule)-(2*Sphere Radius of Capsule)

Can the Cylinder Height of Capsule given Sphere Radius and Volume be negative?

No, the Cylinder Height of Capsule given Sphere Radius and Volume, measured in Length cannot be negative.

Which unit is used to measure Cylinder Height of Capsule given Sphere Radius and Volume?

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

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Cylinder Height of Capsule given Sphere Radius and Volume Formula

​GoCylinder Height of Capsule given Surface Area and Length Formula

​GoCylinder Height of Capsule Formula

Cylinder Height of Capsule given Sphere Radius and Volume Example

Cylinder Height of Capsule given Sphere Radius and Volume Solution

Cylinder Height of Capsule given Sphere Radius and Volume Formula Elements

Other Formulas to find Cylinder Height of Capsule

How to Evaluate Cylinder Height of Capsule given Sphere Radius and Volume?

FAQs on Cylinder Height of Capsule given Sphere Radius and Volume

Variable Name

GoCylinder Height of Capsule given Surface Area and Length Formula

GoCylinder Height of Capsule Formula