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Total Surface Area of Half Cylinder given Space Diagonal and Radius Formula

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GoTotal Surface Area of Half Cylinder given Curved Surface Area and Height Formula

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Total Surface Area of Half Cylinder is defined as the measure of the total amount of 2d space enclosed by all the faces of the Half Cylinder. Check FAQs

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

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

Total Surface Area of Half Cylinder given Space Diagonal and Radius Example

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

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

889.0068 = (3.1416 \cdot 10 \cdot (\sqrt{15^{2} - 10^{2}} + 10)) + (2 \cdot 10 \cdot \sqrt{15^{2} - 10^{2}})

889.0068m² = (3.1416 \cdot 10m \cdot (\sqrt{{15m}^{2} - {10m}^{2}} + 10m)) + (2 \cdot 10m \cdot \sqrt{{15m}^{2} - {10m}^{2}})

889.0068 = (3.1416 \cdot 10 \cdot (\sqrt{15^{2} - 10^{2}} + 10)) + (2 \cdot 10 \cdot \sqrt{15^{2} - 10^{2}})

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Total Surface Area of Half Cylinder given Space Diagonal and Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = (π \cdot 10m \cdot (\sqrt{{15m}^{2} - {10m}^{2}} + 10m)) + (2 \cdot 10m \cdot \sqrt{{15m}^{2} - {10m}^{2}})

Next Step Substitute values of Constants

∴

TSA = (3.1416 \cdot 10m \cdot (\sqrt{{15m}^{2} - {10m}^{2}} + 10m)) + (2 \cdot 10m \cdot \sqrt{{15m}^{2} - {10m}^{2}})

Next Step Prepare to Evaluate

∴

TSA = (3.1416 \cdot 10 \cdot (\sqrt{15^{2} - 10^{2}} + 10)) + (2 \cdot 10 \cdot \sqrt{15^{2} - 10^{2}})

Next Step Evaluate

∴

TSA = 889.006799660995m²

LAST Step Rounding Answer

∴

TSA = 889.0068m²

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

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Constants

Functions

Total Surface Area of Half Cylinder

Total Surface Area of Half Cylinder is defined as the measure of the total amount of 2d space enclosed by all the faces of the Half Cylinder.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Half Cylinder

Radius of Half Cylinder

Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Half Cylinder

Space Diagonal of Half Cylinder

Space Diagonal of Half Cylinder is a line connecting two vertices that are not on the same face of Half Cylinder.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Half 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 Half Cylinder

Go Total Surface Area of Half Cylinder

TSA = (π \cdot r \cdot (h + r)) + (2 \cdot r \cdot h)

Go Total Surface Area of Half Cylinder given Curved Surface Area and Height

TSA = (\frac{CSA}{h} \cdot (h + \frac{CSA}{π \cdot h})) + \frac{2 \cdot CSA}{π}

Go Total Surface Area of Half Cylinder given Curved Surface Area and Radius

TSA = CSA + π \cdot r^{2} + \frac{2 \cdot CSA}{π}

Go Total Surface Area of Half Cylinder given Space Diagonal and Height

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

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

Total Surface Area of Half Cylinder given Space Diagonal and Radius evaluator uses Total Surface Area of Half Cylinder = (pi*Radius of Half Cylinder*(sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)+Radius of Half Cylinder))+(2*Radius of Half Cylinder*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)) to evaluate the Total Surface Area of Half Cylinder, Total Surface Area of Half Cylinder given Space Diagonal and Radius is defined as the measure of the total amount of 2d space enclosed by all the faces of the Half Cylinder, calculated using its space diagonal and radius. Total Surface Area of Half Cylinder is denoted by TSA symbol.

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

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

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

The formula of Total Surface Area of Half Cylinder given Space Diagonal and Radius is expressed as Total Surface Area of Half Cylinder = (pi*Radius of Half Cylinder*(sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)+Radius of Half Cylinder))+(2*Radius of Half Cylinder*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)). Here is an example- 889.0068 = (pi*10*(sqrt(15^2-10^2)+10))+(2*10*sqrt(15^2-10^2)).

How to calculate Total Surface Area of Half Cylinder given Space Diagonal and Radius?

With Radius of Half Cylinder (r) & Space Diagonal of Half Cylinder (d_Space) we can find Total Surface Area of Half Cylinder given Space Diagonal and Radius using the formula - Total Surface Area of Half Cylinder = (pi*Radius of Half Cylinder*(sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)+Radius of Half Cylinder))+(2*Radius of Half Cylinder*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half 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 Half Cylinder?

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

Total Surface Area of Half Cylinder=(pi*Radius of Half Cylinder*(Height of Half Cylinder+Radius of Half Cylinder))+(2*Radius of Half Cylinder*Height of Half Cylinder)
Total Surface Area of Half Cylinder=(Curved Surface Area of Half Cylinder/Height of Half Cylinder*(Height of Half Cylinder+Curved Surface Area of Half Cylinder/(pi*Height of Half Cylinder)))+(2*Curved Surface Area of Half Cylinder)/pi
Total Surface Area of Half Cylinder=Curved Surface Area of Half Cylinder+pi*Radius of Half Cylinder^2+(2*Curved Surface Area of Half Cylinder)/pi

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

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

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

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

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Total Surface Area of Half Cylinder given Space Diagonal and Radius Formula

​GoTotal Surface Area of Half Cylinder Formula

​GoTotal Surface Area of Half Cylinder given Curved Surface Area and Height Formula

Total Surface Area of Half Cylinder given Space Diagonal and Radius Example

Total Surface Area of Half Cylinder given Space Diagonal and Radius Solution

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

Other Formulas to find Total Surface Area of Half Cylinder

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

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

Variable Name

GoTotal Surface Area of Half Cylinder Formula

GoTotal Surface Area of Half Cylinder given Curved Surface Area and Height Formula