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Lateral Surface Area of Cut Cylinder given Volume and Heights Formula

GoLateral Surface Area of Cut Cylinder given Total Surface Area Formula

GoLateral Surface Area of Cut Cylinder given Volume Formula

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

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

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

Lateral Surface Area of Cut Cylinder given Volume and Heights Example

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

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

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

511.2539 = \sqrt{2 \cdot 3.1416 \cdot 1300 \cdot (20 + 12)}

511.2539m² = \sqrt{2 \cdot 3.1416 \cdot 1300m³ \cdot (20m + 12m)}

511.2539 = \sqrt{2 \cdot 3.1416 \cdot 1300 \cdot (20 + 12)}

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Lateral Surface Area of Cut Cylinder given Volume and Heights Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA = \sqrt{2 \cdot π \cdot 1300m³ \cdot (20m + 12m)}

Next Step Substitute values of Constants

∴

LSA = \sqrt{2 \cdot 3.1416 \cdot 1300m³ \cdot (20m + 12m)}

Next Step Prepare to Evaluate

∴

LSA = \sqrt{2 \cdot 3.1416 \cdot 1300 \cdot (20 + 12)}

Next Step Evaluate

∴

LSA = 511.253859426675m²

LAST Step Rounding Answer

∴

LSA = 511.2539m²

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

Variables

Constants

Functions

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

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

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

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

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 Lateral Surface Area of Cut Cylinder

Go Lateral Surface Area of Cut Cylinder given Total Surface Area

LSA = TSA - (π \cdot r \cdot (r + b))

Go Lateral Surface Area of Cut Cylinder given Volume

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

Go Lateral Surface Area of Cut Cylinder

LSA = π \cdot r \cdot (h Long + h Short)

Go Lateral Surface Area of Cut Cylinder given Semi Minor Axis

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

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

Lateral Surface Area of Cut Cylinder given Volume and Heights evaluator uses Lateral Surface Area of Cut Cylinder = sqrt(2*pi*Volume of Cut Cylinder*(Long Height of Cut Cylinder+Short Height of Cut Cylinder)) to evaluate the Lateral Surface Area of Cut Cylinder, Lateral Surface Area of Cut Cylinder given Volume and Heights formula is defined as the total quantity of plane enclosed on the lateral curved surface of the Cut Cylinder, and calculated using volume and both heights of the Cut Cylinder. Lateral Surface Area of Cut Cylinder is denoted by LSA symbol.

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

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

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

The formula of Lateral Surface Area of Cut Cylinder given Volume and Heights is expressed as Lateral Surface Area of Cut Cylinder = sqrt(2*pi*Volume of Cut Cylinder*(Long Height of Cut Cylinder+Short Height of Cut Cylinder)). Here is an example- 511.2539 = sqrt(2*pi*1300*(20+12)).

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

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

What are the other ways to Calculate Lateral Surface Area of Cut Cylinder?

Here are the different ways to Calculate Lateral Surface Area of Cut Cylinder-

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

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

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

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

Lateral Surface Area of Cut Cylinder given Volume and Heights is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Lateral Surface Area of Cut Cylinder given Volume and Heights can be measured.

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Lateral Surface Area of Cut Cylinder given Volume and Heights Formula

​GoLateral Surface Area of Cut Cylinder given Total Surface Area Formula

​GoLateral Surface Area of Cut Cylinder given Volume Formula

Lateral Surface Area of Cut Cylinder given Volume and Heights Example

Lateral Surface Area of Cut Cylinder given Volume and Heights Solution

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

Other Formulas to find Lateral Surface Area of Cut Cylinder

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

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

Variable Name

GoLateral Surface Area of Cut Cylinder given Total Surface Area Formula

GoLateral Surface Area of Cut Cylinder given Volume Formula