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

GoTotal Surface Area of Diagonally Halved Cylinder Formula

GoTotal Surface Area of Diagonally Halved Cylinder given Lateral Surface Area and Height Formula

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Total Surface Area of Diagonally Halved Cylinder is the total quantity of plane enclosed on the entire surface of the Diagonally Halved Cylinder. Check FAQs

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

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

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

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

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

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

214.2545 = 3.1416 \cdot 4 \cdot (\sqrt{11^{2} - (4 \cdot 4^{2})} + 4 + \frac{11}{2})

214.2545m² = 3.1416 \cdot 4m \cdot (\sqrt{{11m}^{2} - (4 \cdot {4m}^{2})} + 4m + \frac{11m}{2})

214.2545 = 3.1416 \cdot 4 \cdot (\sqrt{11^{2} - (4 \cdot 4^{2})} + 4 + \frac{11}{2})

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = π \cdot 4m \cdot (\sqrt{{11m}^{2} - (4 \cdot {4m}^{2})} + 4m + \frac{11m}{2})

Next Step Substitute values of Constants

∴

TSA = 3.1416 \cdot 4m \cdot (\sqrt{{11m}^{2} - (4 \cdot {4m}^{2})} + 4m + \frac{11m}{2})

Next Step Prepare to Evaluate

∴

TSA = 3.1416 \cdot 4 \cdot (\sqrt{11^{2} - (4 \cdot 4^{2})} + 4 + \frac{11}{2})

Next Step Evaluate

∴

TSA = 214.254538427075m²

LAST Step Rounding Answer

∴

TSA = 214.2545m²

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

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Total Surface Area of Diagonally Halved Cylinder

Total Surface Area of Diagonally Halved Cylinder is the total quantity of plane enclosed on the entire surface of the Diagonally Halved Cylinder.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total 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 Total Surface Area of Diagonally Halved Cylinder

Go Total Surface Area of Diagonally Halved Cylinder

TSA = π \cdot r \cdot (h + r + \frac{\sqrt{h^{2} + (4 \cdot r^{2})}}{2})

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

TSA = \frac{LSA}{h} \cdot (h + \frac{LSA}{π \cdot h} + \frac{d Space}{2})

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

TSA = π \cdot r \cdot (\frac{2 \cdot V}{π \cdot r^{2}} + r + \frac{d Space}{2})

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

TSA = π \cdot \sqrt{\frac{2 \cdot V}{π \cdot h}} \cdot (h + \sqrt{\frac{2 \cdot V}{π \cdot h}} + \frac{d Space}{2})

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

Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius evaluator uses Total 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))+Radius of Diagonally Halved Cylinder+Space Diagonal of Diagonally Halved Cylinder/2) to evaluate the Total Surface Area of Diagonally Halved Cylinder, Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius formula is defined as the total quantity of plane enclosed on the entire surface of the Diagonally Halved Cylinder, and calculated using the space diagonal and radius of the Diagonally Halved Cylinder. Total Surface Area of Diagonally Halved Cylinder is denoted by TSA symbol.

How to evaluate Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius using this online evaluator? To use this online evaluator for Total 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 Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius

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

The formula of Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius is expressed as Total 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))+Radius of Diagonally Halved Cylinder+Space Diagonal of Diagonally Halved Cylinder/2). Here is an example- 214.2545 = pi*4*(sqrt(11^2-(4*4^2))+4+11/2).

How to calculate Total 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 Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius using the formula - Total 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))+Radius of Diagonally Halved Cylinder+Space Diagonal of Diagonally Halved Cylinder/2). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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

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

Total Surface Area of Diagonally Halved Cylinder=pi*Radius of Diagonally Halved Cylinder*(Height of Diagonally Halved Cylinder+Radius of Diagonally Halved Cylinder+sqrt(Height of Diagonally Halved Cylinder^2+(4*Radius of Diagonally Halved Cylinder^2))/2)
Total Surface Area of Diagonally Halved Cylinder=Lateral Surface Area of Diagonally Halved Cylinder/Height of Diagonally Halved Cylinder*(Height of Diagonally Halved Cylinder+Lateral Surface Area of Diagonally Halved Cylinder/(pi*Height of Diagonally Halved Cylinder)+Space Diagonal of Diagonally Halved Cylinder/2)
Total Surface Area of Diagonally Halved Cylinder=pi*Radius of Diagonally Halved Cylinder*((2*Volume of Diagonally Halved Cylinder)/(pi*Radius of Diagonally Halved Cylinder^2)+Radius of Diagonally Halved Cylinder+Space Diagonal of Diagonally Halved Cylinder/2)

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

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

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

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

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

​GoTotal Surface Area of Diagonally Halved Cylinder Formula

​GoTotal Surface Area of Diagonally Halved Cylinder given Lateral Surface Area and Height Formula

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

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

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

Other Formulas to find Total Surface Area of Diagonally Halved Cylinder

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

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

Variable Name

GoTotal Surface Area of Diagonally Halved Cylinder Formula

GoTotal Surface Area of Diagonally Halved Cylinder given Lateral Surface Area and Height Formula