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

✖Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder.ⓘ Radius of Half Cylinder [r]			+10% -10%
✖Space Diagonal of Half Cylinder is a line connecting two vertices that are not on the same face of Half Cylinder.ⓘ Space Diagonal of Half Cylinder [d_Space]			+10% -10%

✖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.ⓘ Total Surface Area of Half Cylinder given Space Diagonal and Radius [TSA]

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Total Surface Area of Half Cylinder given Space Diagonal and Radius

Formula

`"TSA" = (pi*"r"*(sqrt("d"_{"Space"}^2-"r"^2)+"r"))+(2*"r"*sqrt("d"_{"Space"}^2-"r"^2))`

Example

`"889.0068m²"=(pi*"10m"*(sqrt(("15m")^2-("10m")^2)+"10m"))+(2*"10m"*sqrt(("15m")^2-("10m")^2))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
TSA = (pi*r*(sqrt(d_Space^2-r^2)+r))+(2*r*sqrt(d_Space^2-r^2))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Total Surface Area of Half Cylinder - (Measured in Square Meter) - 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.
Radius of Half Cylinder - (Measured in Meter) - Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder.
Space Diagonal of Half Cylinder - (Measured in Meter) - Space Diagonal of Half Cylinder is a line connecting two vertices that are not on the same face of Half Cylinder.

STEP 1: Convert Input(s) to Base Unit

Radius of Half Cylinder: 10 Meter --> 10 Meter No Conversion Required
Space Diagonal of Half Cylinder: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (pi*r*(sqrt(d_Space^2-r^2)+r))+(2*r*sqrt(d_Space^2-r^2)) --> (pi*10*(sqrt(15^2-10^2)+10))+(2*10*sqrt(15^2-10^2))

Evaluating ... ...

TSA = 889.006799660995

STEP 3: Convert Result to Output's Unit

889.006799660995 Square Meter --> No Conversion Required

FINAL ANSWER

889.006799660995 ≈ 889.0068 Square Meter <-- Total Surface Area of Half Cylinder

(Calculation completed in 00.007 seconds)

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< 7 Total Surface Area of Half Cylinder Calculators

Total Surface Area of Half Cylinder given Volume and Height

Go Total Surface Area of Half Cylinder = (pi*sqrt((2*Volume of Half Cylinder)/(pi*Height of Half Cylinder))*(Height of Half Cylinder+sqrt((2*Volume of Half Cylinder)/(pi*Height of Half Cylinder))))+(2*sqrt((2*Volume of Half Cylinder)/(pi*Height of Half Cylinder))*Height of Half Cylinder)

Total Surface Area of Half Cylinder given Space Diagonal and Height

Go Total Surface Area of Half Cylinder = (pi*sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2)*(Height of Half Cylinder+sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2)))+(2*sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2)*Height of Half Cylinder)

Total Surface Area of Half Cylinder given Space Diagonal and Radius

Go 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))

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

Go 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 given Volume and Radius

Go Total Surface Area of Half Cylinder = (2*Volume of Half Cylinder)/Radius of Half Cylinder+pi*Radius of Half Cylinder^2+(4*Volume of Half Cylinder)/(pi*Radius of Half Cylinder)

Total Surface Area of Half Cylinder

Go 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 given Curved Surface Area and Radius

Go 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

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

What is Half Cylinder?

A Half-cylindrical shape in mathematics is a three-dimensional solid figure which is obtained when a cylinder is truncated longitudinally. When a horizontal cylinder is cut into two equal pieces parallel to the length of the cylinder, the shapes thus obtained are called half-cylinders.

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

Total Surface Area of Half Cylinder given Space Diagonal and Radius calculator 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 calculate 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 calculate Total Surface Area of Half Cylinder given Space Diagonal and Radius using this online calculator? To use this online calculator 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. Here is how the Total Surface Area of Half Cylinder given Space Diagonal and Radius calculation can be explained with given input values -> 889.0068 = (pi*10*(sqrt(15^2-10^2)+10))+(2*10*sqrt(15^2-10^2)).

FAQ

What is Total Surface Area of Half Cylinder given Space Diagonal and Radius?

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 and is represented as TSA = (pi*r*(sqrt(d_Space^2-r^2)+r))+(2*r*sqrt(d_Space^2-r^2)) or 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)). Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder & Space Diagonal of Half Cylinder is a line connecting two vertices that are not on the same face of Half Cylinder.

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

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 is calculated using 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 calculate Total Surface Area of Half Cylinder given Space Diagonal and Radius, you need Radius of Half Cylinder (r) & Space Diagonal of Half Cylinder (d_Space). With our tool, you need to enter the respective value for Radius of Half Cylinder & Space Diagonal of Half Cylinder and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Total Surface Area of Half Cylinder?

In this formula, Total Surface Area of Half Cylinder uses Radius of Half Cylinder & Space Diagonal of Half Cylinder. We can use 6 other way(s) to calculate the same, which is/are as follows -

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

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