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

STEP 0: Pre-Calculation Summary
Formula Used
Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Total Surface Area of Cylinder/(2*pi*Radius of Cylinder)-Radius of Cylinder)
LSA = 2*pi*r*(TSA/(2*pi*r)-r)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
Radius of Cylinder - (Measured in Meter) - Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder.
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.
STEP 1: Convert Input(s) to Base Unit
Radius of Cylinder: 5 Meter --> 5 Meter No Conversion Required
Total Surface Area of Cylinder: 530 Square Meter --> 530 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LSA = 2*pi*r*(TSA/(2*pi*r)-r) --> 2*pi*5*(530/(2*pi*5)-5)
Evaluating ... ...
LSA = 372.92036732051
STEP 3: Convert Result to Output's Unit
372.92036732051 Square Meter --> No Conversion Required
FINAL ANSWER
372.92036732051 372.9204 Square Meter <-- Lateral Surface Area of Cylinder
(Calculation completed in 00.004 seconds)

Credits

Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
Dhruv Walia has created this Calculator and 700+ more calculators!
Verified by Nayana Phulphagar
Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
Nayana Phulphagar has verified this Calculator and 1000+ more calculators!

11 Lateral Surface Area of Cylinder Calculators

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

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

Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Total Surface Area of Cylinder/(2*pi*Radius of Cylinder)-Radius of Cylinder)
LSA = 2*pi*r*(TSA/(2*pi*r)-r)

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 Lateral Surface Area of Cylinder given Total Surface Area and Radius?

Lateral Surface Area of Cylinder given Total Surface Area and Radius calculator uses Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Total Surface Area of Cylinder/(2*pi*Radius of Cylinder)-Radius of Cylinder) to calculate the Lateral Surface Area of Cylinder, The Lateral Surface Area of Cylinder given Total Surface Area and Radius formula is defined as the total quantity of plane enclosed on the lateral curved surface (that is, top and bottom faces are excluded) of the Cylinder, and is calculated using the total surface area and radius of the Cylinder. Lateral Surface Area of Cylinder is denoted by LSA symbol.

How to calculate Lateral Surface Area of Cylinder given Total Surface Area and Radius using this online calculator? To use this online calculator for Lateral Surface Area of Cylinder given Total Surface Area and Radius, enter Radius of Cylinder (r) & Total Surface Area of Cylinder (TSA) and hit the calculate button. Here is how the Lateral Surface Area of Cylinder given Total Surface Area and Radius calculation can be explained with given input values -> 372.9204 = 2*pi*5*(530/(2*pi*5)-5).

FAQ

What is Lateral Surface Area of Cylinder given Total Surface Area and Radius?
The Lateral Surface Area of Cylinder given Total Surface Area and Radius formula is defined as the total quantity of plane enclosed on the lateral curved surface (that is, top and bottom faces are excluded) of the Cylinder, and is calculated using the total surface area and radius of the Cylinder and is represented as LSA = 2*pi*r*(TSA/(2*pi*r)-r) or Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Total Surface Area of Cylinder/(2*pi*Radius of Cylinder)-Radius of Cylinder). Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder & Total Surface Area of Cylinder is the total quantity of plane enclosed on the entire surface of the Cylinder.
How to calculate Lateral Surface Area of Cylinder given Total Surface Area and Radius?
The Lateral Surface Area of Cylinder given Total Surface Area and Radius formula is defined as the total quantity of plane enclosed on the lateral curved surface (that is, top and bottom faces are excluded) of the Cylinder, and is calculated using the total surface area and radius of the Cylinder is calculated using Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Total Surface Area of Cylinder/(2*pi*Radius of Cylinder)-Radius of Cylinder). To calculate Lateral Surface Area of Cylinder given Total Surface Area and Radius, you need Radius of Cylinder (r) & Total Surface Area of Cylinder (TSA). With our tool, you need to enter the respective value for Radius of Cylinder & Total Surface Area 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 Lateral Surface Area of Cylinder?
In this formula, Lateral Surface Area of Cylinder uses Radius of Cylinder & Total Surface Area of Cylinder. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*Height of Cylinder
  • Lateral Surface Area of Cylinder = Total Surface Area of Cylinder-(2*Base Area of Cylinder)
  • Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)
  • Lateral Surface Area of Cylinder = pi*Height of Cylinder*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)
  • Lateral Surface Area of Cylinder = (2*Volume of Cylinder)/Radius of Cylinder
  • Lateral Surface Area of Cylinder = 2*sqrt(pi*Volume of Cylinder*Height of Cylinder)
  • Lateral Surface Area of Cylinder = 2*Height of Cylinder*sqrt(pi*Base Area of Cylinder)
  • Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*(2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2)
  • Lateral Surface Area of Cylinder = 2*pi*Height of Cylinder*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)
  • Lateral Surface Area of Cylinder = (Perimeter of Cylinder/2-Height of Cylinder)*Height of Cylinder
  • Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Perimeter of Cylinder/2-2*pi*Radius of Cylinder)
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!