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Volume of Cut Cylinder given Lateral Surface Area and Heights Formula

GoVolume of Cut Cylinder Formula

GoVolume of Cut Cylinder given Lateral Surface Area Formula

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

V = \frac{{LSA}^{2}}{2 \cdot π \cdot (h Short + h Long)}

V - Volume of Cut Cylinder?LSA - Lateral Surface Area of Cut Cylinder?h_Short - Short Height of Cut Cylinder?h_Long - Long Height of Cut Cylinder?π - Archimedes' constant?

Volume of Cut Cylinder given Lateral Surface Area and Heights Example

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Here is how the Volume of Cut Cylinder given Lateral Surface Area and Heights equation looks like with Values.

Here is how the Volume of Cut Cylinder given Lateral Surface Area and Heights equation looks like with Units.

Here is how the Volume of Cut Cylinder given Lateral Surface Area and Heights equation looks like.

1243.398 = \frac{500^{2}}{2 \cdot 3.1416 \cdot (12 + 20)}

1243.398m³ = \frac{{500m²}^{2}}{2 \cdot 3.1416 \cdot (12m + 20m)}

1243.398 = \frac{500^{2}}{2 \cdot 3.1416 \cdot (12 + 20)}

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Volume of Cut Cylinder given Lateral Surface Area and Heights Solution

Follow our step by step solution on how to calculate Volume of Cut Cylinder given Lateral Surface Area and Heights?

FIRST Step Consider the formula

V = \frac{{LSA}^{2}}{2 \cdot π \cdot (h Short + h Long)}

Next Step Substitute values of Variables

∴

V = \frac{{500m²}^{2}}{2 \cdot π \cdot (12m + 20m)}

Next Step Substitute values of Constants

∴

V = \frac{{500m²}^{2}}{2 \cdot 3.1416 \cdot (12m + 20m)}

Next Step Prepare to Evaluate

∴

V = \frac{500^{2}}{2 \cdot 3.1416 \cdot (12 + 20)}

Next Step Evaluate

∴

V = 1243.39799290543m³

LAST Step Rounding Answer

∴

V = 1243.398m³

Volume of Cut Cylinder given Lateral Surface Area and Heights Formula Elements

Variables

Constants

Volume of Cut Cylinder

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Cut Cylinder

Lateral Surface Area of Cut Cylinder

Lateral Surface Area of Cut Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Cut Cylinder.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Cut Cylinder

Short Height of Cut Cylinder

Short Height of Cut Cylinder is the shortest vertical distance from the bottom circular face to the top elliptical face of the Cut Cylinder.

Symbol: h_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Height of Cut Cylinder

Long Height of Cut Cylinder

Long Height of Cut Cylinder is the longest vertical distance from the bottom circular face to the top elliptical face of the Cut Cylinder.

Symbol: h_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Height of Cut Cylinder

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 Cut Cylinder

Go Volume of Cut Cylinder

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

Go Volume of Cut Cylinder given Lateral Surface Area

V = \frac{r}{2} \cdot LSA

Go Volume of Cut Cylinder given Total Surface Area

V = \frac{r}{2} \cdot (TSA - (π \cdot r \cdot (r + b)))

How to Evaluate Volume of Cut Cylinder given Lateral Surface Area and Heights?

Volume of Cut Cylinder given Lateral Surface Area and Heights evaluator uses Volume of Cut Cylinder = Lateral Surface Area of Cut Cylinder^2/(2*pi*(Short Height of Cut Cylinder+Long Height of Cut Cylinder)) to evaluate the Volume of Cut Cylinder, Volume of Cut Cylinder given Lateral Surface Area and Heights formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Cut Cylinder, and is calculated using lateral surface area and both heights of the Cut Cylinder. Volume of Cut Cylinder is denoted by V symbol.

How to evaluate Volume of Cut Cylinder given Lateral Surface Area and Heights using this online evaluator? To use this online evaluator for Volume of Cut Cylinder given Lateral Surface Area and Heights, enter Lateral Surface Area of Cut Cylinder (LSA), Short Height of Cut Cylinder (h_Short) & Long Height of Cut Cylinder (h_Long) and hit the calculate button.

FAQs on Volume of Cut Cylinder given Lateral Surface Area and Heights

What is the formula to find Volume of Cut Cylinder given Lateral Surface Area and Heights?

The formula of Volume of Cut Cylinder given Lateral Surface Area and Heights is expressed as Volume of Cut Cylinder = Lateral Surface Area of Cut Cylinder^2/(2*pi*(Short Height of Cut Cylinder+Long Height of Cut Cylinder)). Here is an example- 1243.398 = 500^2/(2*pi*(12+20)).

How to calculate Volume of Cut Cylinder given Lateral Surface Area and Heights?

With Lateral Surface Area of Cut Cylinder (LSA), Short Height of Cut Cylinder (h_Short) & Long Height of Cut Cylinder (h_Long) we can find Volume of Cut Cylinder given Lateral Surface Area and Heights using the formula - Volume of Cut Cylinder = Lateral Surface Area of Cut Cylinder^2/(2*pi*(Short Height of Cut Cylinder+Long Height of Cut Cylinder)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Volume of Cut Cylinder?

Here are the different ways to Calculate Volume of Cut Cylinder-

Volume of Cut Cylinder=pi*Radius of Cut Cylinder^2*((Short Height of Cut Cylinder+Long Height of Cut Cylinder)/2)
Volume of Cut Cylinder=Radius of Cut Cylinder/2*Lateral Surface Area of Cut Cylinder
Volume of Cut Cylinder=Radius of Cut Cylinder/2*(Total Surface Area of Cut Cylinder-(pi*Radius of Cut Cylinder*(Radius of Cut Cylinder+Semi Minor Axis of Cut Cylinder)))

Can the Volume of Cut Cylinder given Lateral Surface Area and Heights be negative?

No, the Volume of Cut Cylinder given Lateral Surface Area and Heights, measured in Volume cannot be negative.

Which unit is used to measure Volume of Cut Cylinder given Lateral Surface Area and Heights?

Volume of Cut Cylinder given Lateral Surface Area and Heights 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 Cylinder given Lateral Surface Area and Heights can be measured.

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Volume of Cut Cylinder given Lateral Surface Area and Heights Formula

​GoVolume of Cut Cylinder Formula

​GoVolume of Cut Cylinder given Lateral Surface Area Formula

Volume of Cut Cylinder given Lateral Surface Area and Heights Example

Volume of Cut Cylinder given Lateral Surface Area and Heights Solution

Volume of Cut Cylinder given Lateral Surface Area and Heights Formula Elements

Other Formulas to find Volume of Cut Cylinder

How to Evaluate Volume of Cut Cylinder given Lateral Surface Area and Heights?

FAQs on Volume of Cut Cylinder given Lateral Surface Area and Heights

Variable Name

GoVolume of Cut Cylinder Formula

GoVolume of Cut Cylinder given Lateral Surface Area Formula