Total Surface Area of Half Cylinder Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
TSA = (pi*r*(h+r))+(2*r*h)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
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
Radius of Half Cylinder: 10 Meter --> 10 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*r*(h+r))+(2*r*h) --> (pi*10*(12+10))+(2*10*12)
Evaluating ... ...
TSA = 931.150383789755
STEP 3: Convert Result to Output's Unit
931.150383789755 Square Meter --> No Conversion Required
FINAL ANSWER
931.150383789755 931.1504 Square Meter <-- Total Surface Area of Half Cylinder
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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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
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 Formula

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)
TSA = (pi*r*(h+r))+(2*r*h)

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?

Total Surface Area of Half Cylinder calculator uses 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) to calculate the Total Surface Area of Half Cylinder, Total Surface Area of Half Cylinder formula 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 is denoted by TSA symbol.

How to calculate Total Surface Area of Half Cylinder using this online calculator? To use this online calculator for Total Surface Area of Half Cylinder, enter Radius of Half Cylinder (r) & Height of Half Cylinder (h) and hit the calculate button. Here is how the Total Surface Area of Half Cylinder calculation can be explained with given input values -> 931.1504 = (pi*10*(12+10))+(2*10*12).

FAQ

What is Total Surface Area of Half Cylinder?
Total Surface Area of Half Cylinder formula is defined as the measure of the total amount of 2d space enclosed by all the faces of the Half Cylinder and is represented as TSA = (pi*r*(h+r))+(2*r*h) or 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). Radius of Half Cylinder is the radius of the semicircular surface of the 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?
Total Surface Area of Half Cylinder formula is defined as the measure of the total amount of 2d space enclosed by all the faces of the Half Cylinder is calculated using 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). To calculate Total Surface Area of Half Cylinder, you need Radius of Half Cylinder (r) & Height of Half Cylinder (h). With our tool, you need to enter the respective value for Radius 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 Radius 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 = 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*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 = (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*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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