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Volume of Cut Cylindrical Shell Formula

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Volume of Cut Cylindrical Shell is the total quantity of three dimensional space enclosed by the entire surface of the Cut Cylindrical Shell. Check FAQs

V = \frac{π}{2} \cdot (({r Outer}^{2} \cdot (h Short Outer + h Long Outer)) - ({r Inner}^{2} \cdot (h Short Inner + h Long Inner)))

V - Volume of Cut Cylindrical Shell?r_Outer - Outer Radius of Cut Cylindrical Shell?h_{Short Outer} - Short Outer Height of Cut Cylindrical Shell?h_{Long Outer} - Long Outer Height of Cut Cylindrical Shell?r_Inner - Inner Radius of Cut Cylindrical Shell?h_{Short Inner} - Short Inner Height of Cut Cylindrical Shell?h_{Long Inner} - Long Inner Height of Cut Cylindrical Shell?π - Archimedes' constant?

Volume of Cut Cylindrical Shell Example

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Here is how the Volume of Cut Cylindrical Shell equation looks like with Values.

Here is how the Volume of Cut Cylindrical Shell equation looks like with Units.

Here is how the Volume of Cut Cylindrical Shell equation looks like.

4523.8934 = \frac{3.1416}{2} \cdot ((12^{2} \cdot (16 + 20)) - (8^{2} \cdot (17 + 19)))

4523.8934m³ = \frac{3.1416}{2} \cdot (({12m}^{2} \cdot (16m + 20m)) - ({8m}^{2} \cdot (17m + 19m)))

4523.8934 = \frac{3.1416}{2} \cdot ((12^{2} \cdot (16 + 20)) - (8^{2} \cdot (17 + 19)))

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Volume of Cut Cylindrical Shell Solution

Follow our step by step solution on how to calculate Volume of Cut Cylindrical Shell?

FIRST Step Consider the formula

V = \frac{π}{2} \cdot (({r Outer}^{2} \cdot (h Short Outer + h Long Outer)) - ({r Inner}^{2} \cdot (h Short Inner + h Long Inner)))

Next Step Substitute values of Variables

∴

V = \frac{π}{2} \cdot (({12m}^{2} \cdot (16m + 20m)) - ({8m}^{2} \cdot (17m + 19m)))

Next Step Substitute values of Constants

∴

V = \frac{3.1416}{2} \cdot (({12m}^{2} \cdot (16m + 20m)) - ({8m}^{2} \cdot (17m + 19m)))

Next Step Prepare to Evaluate

∴

V = \frac{3.1416}{2} \cdot ((12^{2} \cdot (16 + 20)) - (8^{2} \cdot (17 + 19)))

Next Step Evaluate

∴

V = 4523.8934211693m³

LAST Step Rounding Answer

∴

V = 4523.8934m³

Volume of Cut Cylindrical Shell Formula Elements

Variables

Constants

Volume of Cut Cylindrical Shell

Volume of Cut Cylindrical Shell is the total quantity of three dimensional space enclosed by the entire surface of the Cut Cylindrical Shell.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Cut Cylindrical Shell

Outer Radius of Cut Cylindrical Shell

Outer Radius of Cut Cylindrical Shell is the distance between center and any point on the circumference of the bottom circular face in the outer cut cylinder of the Cut Cylindrical Shell.

Symbol: r_Outer

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Radius of Cut Cylindrical Shell

Short Outer Height of Cut Cylindrical Shell

Short Outer Height of Cut Cylindrical Shell is the shortest vertical distance from the bottom circular face to the top elliptical face of the outer cut cylinder of the Cut Cylindrical Shell.

Symbol: h_{Short Outer}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Outer Height of Cut Cylindrical Shell

Long Outer Height of Cut Cylindrical Shell

Long Outer Height of Cut Cylindrical Shell is the longest vertical distance from the bottom circular face to the top elliptical face of the outer cut cylinder of the Cut Cylindrical Shell.

Symbol: h_{Long Outer}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Outer Height of Cut Cylindrical Shell

Inner Radius of Cut Cylindrical Shell

Inner Radius of Cut Cylindrical Shell is the distance between center and any point on the circumference of the bottom circular face in the inner cut cylinder of the Cut Cylindrical Shell.

Symbol: r_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Radius of Cut Cylindrical Shell

Short Inner Height of Cut Cylindrical Shell

Short Inner Height of Cut Cylindrical Shell is the shortest vertical distance from the bottom circular face to the top elliptical face of the inner cut cylinder of the Cut Cylindrical Shell.

Symbol: h_{Short Inner}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Inner Height of Cut Cylindrical Shell

Long Inner Height of Cut Cylindrical Shell

Long Inner Height of Cut Cylindrical Shell is the longest vertical distance from the bottom circular face to the top elliptical face of the inner cut cylinder of the Cut Cylindrical Shell.

Symbol: h_{Long Inner}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Inner Height of Cut Cylindrical Shell

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

How to Evaluate Volume of Cut Cylindrical Shell?

Volume of Cut Cylindrical Shell evaluator uses Volume of Cut Cylindrical Shell = pi/2*((Outer Radius of Cut Cylindrical Shell^2*(Short Outer Height of Cut Cylindrical Shell+Long Outer Height of Cut Cylindrical Shell))-(Inner Radius of Cut Cylindrical Shell^2*(Short Inner Height of Cut Cylindrical Shell+Long Inner Height of Cut Cylindrical Shell))) to evaluate the Volume of Cut Cylindrical Shell, Volume of Cut Cylindrical Shell formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Cut Cylindrical Shell. Volume of Cut Cylindrical Shell is denoted by V symbol.

How to evaluate Volume of Cut Cylindrical Shell using this online evaluator? To use this online evaluator for Volume of Cut Cylindrical Shell, enter Outer Radius of Cut Cylindrical Shell (r_Outer), Short Outer Height of Cut Cylindrical Shell (h_{Short Outer}), Long Outer Height of Cut Cylindrical Shell (h_{Long Outer}), Inner Radius of Cut Cylindrical Shell (r_Inner), Short Inner Height of Cut Cylindrical Shell (h_{Short Inner}) & Long Inner Height of Cut Cylindrical Shell (h_{Long Inner}) and hit the calculate button.

FAQs on Volume of Cut Cylindrical Shell

What is the formula to find Volume of Cut Cylindrical Shell?

The formula of Volume of Cut Cylindrical Shell is expressed as Volume of Cut Cylindrical Shell = pi/2*((Outer Radius of Cut Cylindrical Shell^2*(Short Outer Height of Cut Cylindrical Shell+Long Outer Height of Cut Cylindrical Shell))-(Inner Radius of Cut Cylindrical Shell^2*(Short Inner Height of Cut Cylindrical Shell+Long Inner Height of Cut Cylindrical Shell))). Here is an example- 4523.893 = pi/2*((12^2*(16+20))-(8^2*(17+19))).

How to calculate Volume of Cut Cylindrical Shell?

With Outer Radius of Cut Cylindrical Shell (r_Outer), Short Outer Height of Cut Cylindrical Shell (h_{Short Outer}), Long Outer Height of Cut Cylindrical Shell (h_{Long Outer}), Inner Radius of Cut Cylindrical Shell (r_Inner), Short Inner Height of Cut Cylindrical Shell (h_{Short Inner}) & Long Inner Height of Cut Cylindrical Shell (h_{Long Inner}) we can find Volume of Cut Cylindrical Shell using the formula - Volume of Cut Cylindrical Shell = pi/2*((Outer Radius of Cut Cylindrical Shell^2*(Short Outer Height of Cut Cylindrical Shell+Long Outer Height of Cut Cylindrical Shell))-(Inner Radius of Cut Cylindrical Shell^2*(Short Inner Height of Cut Cylindrical Shell+Long Inner Height of Cut Cylindrical Shell))). This formula also uses Archimedes' constant .

Can the Volume of Cut Cylindrical Shell be negative?

No, the Volume of Cut Cylindrical Shell, measured in Volume cannot be negative.

Which unit is used to measure Volume of Cut Cylindrical Shell?

Volume of Cut Cylindrical Shell 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 Cut Cylindrical Shell can be measured.

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Volume of Cut Cylindrical Shell Formula

Volume of Cut Cylindrical Shell Example

Volume of Cut Cylindrical Shell Solution

Volume of Cut Cylindrical Shell Formula Elements

How to Evaluate Volume of Cut Cylindrical Shell?

FAQs on Volume of Cut Cylindrical Shell

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