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Total Surface Area of Diagonally Halved Cylinder given Space Diagonal 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 \sqrt{\frac{{d Space}^{2} - h^{2}}{4}} \cdot (h + \sqrt{\frac{{d Space}^{2} - h^{2}}{4}} + \frac{d Space}{2})

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

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

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

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

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

204.8676 = 3.1416 \cdot \sqrt{\frac{11^{2} - 8^{2}}{4}} \cdot (8 + \sqrt{\frac{11^{2} - 8^{2}}{4}} + \frac{11}{2})

204.8676m² = 3.1416 \cdot \sqrt{\frac{{11m}^{2} - {8m}^{2}}{4}} \cdot (8m + \sqrt{\frac{{11m}^{2} - {8m}^{2}}{4}} + \frac{11m}{2})

204.8676 = 3.1416 \cdot \sqrt{\frac{11^{2} - 8^{2}}{4}} \cdot (8 + \sqrt{\frac{11^{2} - 8^{2}}{4}} + \frac{11}{2})

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = π \cdot \sqrt{\frac{{11m}^{2} - {8m}^{2}}{4}} \cdot (8m + \sqrt{\frac{{11m}^{2} - {8m}^{2}}{4}} + \frac{11m}{2})

Next Step Substitute values of Constants

∴

TSA = 3.1416 \cdot \sqrt{\frac{{11m}^{2} - {8m}^{2}}{4}} \cdot (8m + \sqrt{\frac{{11m}^{2} - {8m}^{2}}{4}} + \frac{11m}{2})

Next Step Prepare to Evaluate

∴

TSA = 3.1416 \cdot \sqrt{\frac{11^{2} - 8^{2}}{4}} \cdot (8 + \sqrt{\frac{11^{2} - 8^{2}}{4}} + \frac{11}{2})

Next Step Evaluate

∴

TSA = 204.867599997899m²

LAST Step Rounding Answer

∴

TSA = 204.8676m²

Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height 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

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

Height of Diagonally Halved Cylinder

Height of Diagonally Halved Cylinder is the vertical distance from the base circular face to the top most point of the Diagonally Halved Cylinder.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Height?

Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height evaluator uses Total Surface Area of Diagonally Halved Cylinder = pi*sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)*(Height of Diagonally Halved Cylinder+sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)+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 Height 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 height 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 Height using this online evaluator? To use this online evaluator for Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height, enter Space Diagonal of Diagonally Halved Cylinder (d_Space) & Height of Diagonally Halved Cylinder (h) and hit the calculate button.

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

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

The formula of Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height is expressed as Total Surface Area of Diagonally Halved Cylinder = pi*sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)*(Height of Diagonally Halved Cylinder+sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)+Space Diagonal of Diagonally Halved Cylinder/2). Here is an example- 204.8676 = pi*sqrt((11^2-8^2)/4)*(8+sqrt((11^2-8^2)/4)+11/2).

How to calculate Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height?

With Space Diagonal of Diagonally Halved Cylinder (d_Space) & Height of Diagonally Halved Cylinder (h) we can find Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height using the formula - Total Surface Area of Diagonally Halved Cylinder = pi*sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)*(Height of Diagonally Halved Cylinder+sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)+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 Height be negative?

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

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

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

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

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

Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height 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 Height?

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

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GoTotal Surface Area of Diagonally Halved Cylinder Formula

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