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

✖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%
✖Height of Half Cylinder is the perpendicular distance between the top and bottom faces of Half Cylinder.ⓘ Height of Half Cylinder [h]			+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 Height [TSA]

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Total Surface Area of Half Cylinder given Space Diagonal and Height

Formula

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

Example

`"809.761m²"=(pi*sqrt(("15m")^2-("12m")^2)*("12m"+sqrt(("15m")^2-("12m")^2)))+(2*sqrt(("15m")^2-("12m")^2)*"12m")`

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Download Important Formulas of Half Cylinder Formulas PDF

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
TSA = (pi*sqrt(d_Space^2-h^2)*(h+sqrt(d_Space^2-h^2)))+(2*sqrt(d_Space^2-h^2)*h)
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.
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.
Height of Half Cylinder - (Measured in Meter) - Height of Half Cylinder is the perpendicular distance between the top and bottom faces of Half Cylinder.

STEP 1: Convert Input(s) to Base Unit

Space Diagonal of Half Cylinder: 15 Meter --> 15 Meter No Conversion Required
Height of Half Cylinder: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (pi*sqrt(d_Space^2-h^2)*(h+sqrt(d_Space^2-h^2)))+(2*sqrt(d_Space^2-h^2)*h) --> (pi*sqrt(15^2-12^2)*(12+sqrt(15^2-12^2)))+(2*sqrt(15^2-12^2)*12)

Evaluating ... ...

TSA = 809.761011528471

STEP 3: Convert Result to Output's Unit

809.761011528471 Square Meter --> No Conversion Required

FINAL ANSWER

809.761011528471 ≈ 809.761 Square Meter <-- Total Surface Area of Half Cylinder

(Calculation completed in 00.004 seconds)

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< 8 Surface Area of Half Cylinder Calculators

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 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

Curved Surface Area of Half Cylinder given Space Diagonal and Height

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

Curved Surface Area of Half Cylinder given Space Diagonal and Radius

Go Curved Surface Area of Half Cylinder = pi*Radius of Half Cylinder*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)

Curved Surface Area of Half Cylinder

Go Curved Surface Area of Half Cylinder = pi*Radius of Half Cylinder*Height of Half Cylinder

Base Area of Half Cylinder

Go Base Area of Half Cylinder = (pi*Radius of Half Cylinder^2)/2

< 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

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 Height 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 Height?

Total Surface Area of Half Cylinder given Space Diagonal and Height calculator uses 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) to calculate the Total Surface Area of Half Cylinder, Total Surface Area of Half Cylinder given Space Diagonal and Height formula 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 height. Total Surface Area of Half Cylinder is denoted by TSA symbol.

How to calculate Total Surface Area of Half Cylinder given Space Diagonal and Height using this online calculator? To use this online calculator for Total Surface Area of Half Cylinder given Space Diagonal and Height, enter Space Diagonal of Half Cylinder (d_Space) & Height of Half Cylinder (h) and hit the calculate button. Here is how the Total Surface Area of Half Cylinder given Space Diagonal and Height calculation can be explained with given input values -> 809.761 = (pi*sqrt(15^2-12^2)*(12+sqrt(15^2-12^2)))+(2*sqrt(15^2-12^2)*12).

FAQ

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

Total Surface Area of Half Cylinder given Space Diagonal and Height formula 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 height and is represented as TSA = (pi*sqrt(d_Space^2-h^2)*(h+sqrt(d_Space^2-h^2)))+(2*sqrt(d_Space^2-h^2)*h) or 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). Space Diagonal of Half Cylinder is a line connecting two vertices that are not on the same face of Half Cylinder & Height of Half Cylinder is the perpendicular distance between the top and bottom faces of Half Cylinder.

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

Total Surface Area of Half Cylinder given Space Diagonal and Height formula 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 height is calculated using 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). To calculate Total Surface Area of Half Cylinder given Space Diagonal and Height, you need Space Diagonal of Half Cylinder (d_Space) & Height of Half Cylinder (h). With our tool, you need to enter the respective value for Space Diagonal of Half Cylinder & Height 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 Space Diagonal of Half Cylinder & Height of Half Cylinder. We can use 9 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+pi*Radius of Half Cylinder^2+ (2*Curved Surface Area of Half Cylinder)/pi
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 = (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*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 = (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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