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Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius Formula

GoLateral Surface Area of Diagonally Halved Cylinder given Total Surface Area Formula

GoLateral Surface Area of Diagonally Halved Cylinder given Volume and Radius Formula

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

LSA = π \cdot r \cdot \sqrt{{d Space}^{2} - (4 \cdot r^{2})}

LSA - Lateral Surface Area of Diagonally Halved Cylinder?r - Radius of Diagonally Halved Cylinder?d_Space - Space Diagonal of Diagonally Halved Cylinder?π - Archimedes' constant?

Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius Example

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Here is how the Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius equation looks like with Values.

Here is how the Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius equation looks like with Units.

Here is how the Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius equation looks like.

94.874 = 3.1416 \cdot 4 \cdot \sqrt{11^{2} - (4 \cdot 4^{2})}

94.874m² = 3.1416 \cdot 4m \cdot \sqrt{{11m}^{2} - (4 \cdot {4m}^{2})}

94.874 = 3.1416 \cdot 4 \cdot \sqrt{11^{2} - (4 \cdot 4^{2})}

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Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius Solution

Follow our step by step solution on how to calculate Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius?

FIRST Step Consider the formula

LSA = π \cdot r \cdot \sqrt{{d Space}^{2} - (4 \cdot r^{2})}

Next Step Substitute values of Variables

∴

LSA = π \cdot 4m \cdot \sqrt{{11m}^{2} - (4 \cdot {4m}^{2})}

Next Step Substitute values of Constants

∴

LSA = 3.1416 \cdot 4m \cdot \sqrt{{11m}^{2} - (4 \cdot {4m}^{2})}

Next Step Prepare to Evaluate

∴

LSA = 3.1416 \cdot 4 \cdot \sqrt{11^{2} - (4 \cdot 4^{2})}

Next Step Evaluate

∴

LSA = 94.8740175906633m²

LAST Step Rounding Answer

∴

LSA = 94.874m²

Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius Formula Elements

Variables

Constants

Functions

Lateral Surface Area of Diagonally Halved Cylinder

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

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Diagonally Halved Cylinder

Radius of Diagonally Halved Cylinder

Radius of Diagonally Halved Cylinder is the distance between the center and any point on the circumference of the base circular face of the Diagonally Halved Cylinder.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Diagonally Halved Cylinder

Space Diagonal of Diagonally Halved Cylinder

Space Diagonal of Diagonally Halved Cylinder is the length of the major axis or the longest chord of the upper elliptical face of the Diagonally Halved Cylinder.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Diagonally Halved 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 Diagonally Halved Cylinder

Go Lateral Surface Area of Diagonally Halved Cylinder given Total Surface Area

LSA = π \cdot r \cdot (\frac{TSA}{π \cdot r} - r - \frac{d Space}{2})

Go Lateral Surface Area of Diagonally Halved Cylinder given Volume and Radius

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

Go Lateral Surface Area of Diagonally Halved Cylinder given Volume and Height

LSA = \sqrt{2 \cdot π \cdot V \cdot h}

Go Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height

LSA = π \cdot h \cdot \sqrt{\frac{{d Space}^{2} - h^{2}}{4}}

How to Evaluate Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius?

Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius evaluator uses Lateral Surface Area of Diagonally Halved Cylinder = pi*Radius of Diagonally Halved Cylinder*sqrt(Space Diagonal of Diagonally Halved Cylinder^2-(4*Radius of Diagonally Halved Cylinder^2)) to evaluate the Lateral Surface Area of Diagonally Halved Cylinder, Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius formula is defined as the total quantity of plane enclosed on the lateral curved surface of the Diagonally Halved Cylinder, and calculated using the space diagonal and radius of the Diagonally Halved Cylinder. Lateral Surface Area of Diagonally Halved Cylinder is denoted by LSA symbol.

How to evaluate Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius using this online evaluator? To use this online evaluator for Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius, enter Radius of Diagonally Halved Cylinder (r) & Space Diagonal of Diagonally Halved Cylinder (d_Space) and hit the calculate button.

FAQs on Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius

What is the formula to find Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius?

The formula of Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius is expressed as Lateral Surface Area of Diagonally Halved Cylinder = pi*Radius of Diagonally Halved Cylinder*sqrt(Space Diagonal of Diagonally Halved Cylinder^2-(4*Radius of Diagonally Halved Cylinder^2)). Here is an example- 94.87402 = pi*4*sqrt(11^2-(4*4^2)).

How to calculate Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius?

With Radius of Diagonally Halved Cylinder (r) & Space Diagonal of Diagonally Halved Cylinder (d_Space) we can find Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius using the formula - Lateral Surface Area of Diagonally Halved Cylinder = pi*Radius of Diagonally Halved Cylinder*sqrt(Space Diagonal of Diagonally Halved Cylinder^2-(4*Radius of Diagonally Halved Cylinder^2)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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

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

Lateral Surface Area of Diagonally Halved Cylinder=pi*Radius of Diagonally Halved Cylinder*(Total Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder)-Radius of Diagonally Halved Cylinder-Space Diagonal of Diagonally Halved Cylinder/2)
Lateral Surface Area of Diagonally Halved Cylinder=(2*Volume of Diagonally Halved Cylinder)/Radius of Diagonally Halved Cylinder
Lateral Surface Area of Diagonally Halved Cylinder=sqrt(2*pi*Volume of Diagonally Halved Cylinder*Height of Diagonally Halved Cylinder)

Can the Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius be negative?

No, the Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius, measured in Area cannot be negative.

Which unit is used to measure Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius?

Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius 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 Diagonally Halved Cylinder given Space Diagonal and Radius can be measured.

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Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius Formula

​GoLateral Surface Area of Diagonally Halved Cylinder given Total Surface Area Formula

​GoLateral Surface Area of Diagonally Halved Cylinder given Volume and Radius Formula

Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius Example

Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius Solution

Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius Formula Elements

Other Formulas to find Lateral Surface Area of Diagonally Halved Cylinder

How to Evaluate Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius?

FAQs on Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius

Variable Name

GoLateral Surface Area of Diagonally Halved Cylinder given Total Surface Area Formula

GoLateral Surface Area of Diagonally Halved Cylinder given Volume and Radius Formula