Total Surface Area of Cylinder given Lateral Surface Area and Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Cylinder = Lateral Surface Area of Cylinder/Height of Cylinder*(Height of Cylinder+Lateral Surface Area of Cylinder/(2*pi*Height of Cylinder))
TSA = LSA/h*(h+LSA/(2*pi*h))
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Total Surface Area of Cylinder - (Measured in Square Meter) - Total Surface Area of Cylinder is the total quantity of plane enclosed on the entire surface of the Cylinder.
Lateral Surface Area of Cylinder - (Measured in Square Meter) - Lateral Surface Area of Cylinder is the total quantity of plane enclosed on the lateral curved surface (that is, the top and bottom faces are excluded) of the Cylinder.
Height of Cylinder - (Measured in Meter) - Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder.
STEP 1: Convert Input(s) to Base Unit
Lateral Surface Area of Cylinder: 380 Square Meter --> 380 Square Meter No Conversion Required
Height of Cylinder: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = LSA/h*(h+LSA/(2*pi*h)) --> 380/12*(12+380/(2*pi*12))
Evaluating ... ...
TSA = 539.597040156039
STEP 3: Convert Result to Output's Unit
539.597040156039 Square Meter --> No Conversion Required
FINAL ANSWER
539.597040156039 539.597 Square Meter <-- Total Surface Area of Cylinder
(Calculation completed in 00.020 seconds)

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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13 Total Surface Area of Cylinder Calculators

Total Surface Area of Cylinder given Surface to Volume Ratio and Height
​ Go Total Surface Area of Cylinder = 2*pi*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)*(Height of Cylinder+(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2))
Total Surface Area of Cylinder given Volume and Height
​ Go Total Surface Area of Cylinder = 2*pi*sqrt(Volume of Cylinder/(pi*Height of Cylinder))*(Height of Cylinder+sqrt(Volume of Cylinder/(pi*Height of Cylinder)))
Total Surface Area of Cylinder given Diagonal and Height
​ Go Total Surface Area of Cylinder = pi*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)*(Height of Cylinder+sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)/2)
Total Surface Area of Cylinder given Lateral Surface Area and Height
​ Go Total Surface Area of Cylinder = Lateral Surface Area of Cylinder/Height of Cylinder*(Height of Cylinder+Lateral Surface Area of Cylinder/(2*pi*Height of Cylinder))
Total Surface Area of Cylinder given Surface to Volume Ratio and Radius
​ Go Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*((2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2)+Radius of Cylinder)
Total Surface Area of Cylinder given Perimeter and Height
​ Go Total Surface Area of Cylinder = (Perimeter of Cylinder/2-Height of Cylinder)*(Height of Cylinder+(Perimeter of Cylinder/2-Height of Cylinder)/(2*pi))
Total Surface Area of Cylinder given Diagonal and Radius
​ Go Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)+Radius of Cylinder)
Total Surface Area of Cylinder given Perimeter and Radius
​ Go Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Perimeter of Cylinder/2-(2*pi*Radius of Cylinder)+Radius of Cylinder)
Total Surface Area of Cylinder given Volume and Radius
​ Go Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Volume of Cylinder/(pi*Radius of Cylinder^2)+Radius of Cylinder)
Total Surface Area of Cylinder given Base Area
​ Go Total Surface Area of Cylinder = 2*(sqrt(pi*Base Area of Cylinder)*Height of Cylinder+Base Area of Cylinder)
Total Surface Area of Cylinder
​ Go Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Height of Cylinder+Radius of Cylinder)
Total Surface Area of Cylinder given Lateral Surface Area and Radius
​ Go Total Surface Area of Cylinder = Lateral Surface Area of Cylinder+2*pi*Radius of Cylinder^2
Total Surface Area of Cylinder given Lateral Surface Area and Base Area
​ Go Total Surface Area of Cylinder = Lateral Surface Area of Cylinder+(2*Base Area of Cylinder)

Total Surface Area of Cylinder given Lateral Surface Area and Height Formula

Total Surface Area of Cylinder = Lateral Surface Area of Cylinder/Height of Cylinder*(Height of Cylinder+Lateral Surface Area of Cylinder/(2*pi*Height of Cylinder))
TSA = LSA/h*(h+LSA/(2*pi*h))

What is a Cylinder?

Cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. These bases are normally circular in shape (like a circle) and the center of the two bases are joined by a line segment, which is called the axis. The perpendicular distance between the bases is the height, “h” and the distance from the axis to the outer surface is the radius “r” of the Cylinder.

How to Calculate Total Surface Area of Cylinder given Lateral Surface Area and Height?

Total Surface Area of Cylinder given Lateral Surface Area and Height calculator uses Total Surface Area of Cylinder = Lateral Surface Area of Cylinder/Height of Cylinder*(Height of Cylinder+Lateral Surface Area of Cylinder/(2*pi*Height of Cylinder)) to calculate the Total Surface Area of Cylinder, The Total Surface Area of Cylinder given Lateral Surface Area and Height formula is defined as the total quantity of plane enclosed on the entire surface of the Cylinder, and is calculated using the lateral surface area and height of the Cylinder. Total Surface Area of Cylinder is denoted by TSA symbol.

How to calculate Total Surface Area of Cylinder given Lateral Surface Area and Height using this online calculator? To use this online calculator for Total Surface Area of Cylinder given Lateral Surface Area and Height, enter Lateral Surface Area of Cylinder (LSA) & Height of Cylinder (h) and hit the calculate button. Here is how the Total Surface Area of Cylinder given Lateral Surface Area and Height calculation can be explained with given input values -> 539.597 = 380/12*(12+380/(2*pi*12)).

FAQ

What is Total Surface Area of Cylinder given Lateral Surface Area and Height?
The Total Surface Area of Cylinder given Lateral Surface Area and Height formula is defined as the total quantity of plane enclosed on the entire surface of the Cylinder, and is calculated using the lateral surface area and height of the Cylinder and is represented as TSA = LSA/h*(h+LSA/(2*pi*h)) or Total Surface Area of Cylinder = Lateral Surface Area of Cylinder/Height of Cylinder*(Height of Cylinder+Lateral Surface Area of Cylinder/(2*pi*Height of Cylinder)). Lateral Surface Area of Cylinder is the total quantity of plane enclosed on the lateral curved surface (that is, the top and bottom faces are excluded) of the Cylinder & Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder.
How to calculate Total Surface Area of Cylinder given Lateral Surface Area and Height?
The Total Surface Area of Cylinder given Lateral Surface Area and Height formula is defined as the total quantity of plane enclosed on the entire surface of the Cylinder, and is calculated using the lateral surface area and height of the Cylinder is calculated using Total Surface Area of Cylinder = Lateral Surface Area of Cylinder/Height of Cylinder*(Height of Cylinder+Lateral Surface Area of Cylinder/(2*pi*Height of Cylinder)). To calculate Total Surface Area of Cylinder given Lateral Surface Area and Height, you need Lateral Surface Area of Cylinder (LSA) & Height of Cylinder (h). With our tool, you need to enter the respective value for Lateral Surface Area of Cylinder & Height of 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 Cylinder?
In this formula, Total Surface Area of Cylinder uses Lateral Surface Area of Cylinder & Height of Cylinder. We can use 12 other way(s) to calculate the same, which is/are as follows -
  • Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Height of Cylinder+Radius of Cylinder)
  • Total Surface Area of Cylinder = Lateral Surface Area of Cylinder+(2*Base Area of Cylinder)
  • Total Surface Area of Cylinder = pi*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)*(Height of Cylinder+sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)/2)
  • Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)+Radius of Cylinder)
  • Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Volume of Cylinder/(pi*Radius of Cylinder^2)+Radius of Cylinder)
  • Total Surface Area of Cylinder = Lateral Surface Area of Cylinder+2*pi*Radius of Cylinder^2
  • Total Surface Area of Cylinder = 2*pi*sqrt(Volume of Cylinder/(pi*Height of Cylinder))*(Height of Cylinder+sqrt(Volume of Cylinder/(pi*Height of Cylinder)))
  • Total Surface Area of Cylinder = 2*(sqrt(pi*Base Area of Cylinder)*Height of Cylinder+Base Area of Cylinder)
  • Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*((2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2)+Radius of Cylinder)
  • Total Surface Area of Cylinder = 2*pi*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)*(Height of Cylinder+(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2))
  • Total Surface Area of Cylinder = (Perimeter of Cylinder/2-Height of Cylinder)*(Height of Cylinder+(Perimeter of Cylinder/2-Height of Cylinder)/(2*pi))
  • Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Perimeter of Cylinder/2-(2*pi*Radius of Cylinder)+Radius of Cylinder)
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