Height of Cylinder given Total Surface Area and Base Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Cylinder = (Total Surface Area of Cylinder-2*Base Area of Cylinder)/(2*pi*Radius of Cylinder)
h = (TSA-2*ABase)/(2*pi*r)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
Base Area of Cylinder - (Measured in Square Meter) - Base Area of Cylinder is the area of the base circular face of 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.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Cylinder: 530 Square Meter --> 530 Square Meter No Conversion Required
Base Area of Cylinder: 80 Square Meter --> 80 Square Meter No Conversion Required
Radius of Cylinder: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = (TSA-2*ABase)/(2*pi*r) --> (530-2*80)/(2*pi*5)
Evaluating ... ...
h = 11.7774657888003
STEP 3: Convert Result to Output's Unit
11.7774657888003 Meter --> No Conversion Required
FINAL ANSWER
11.7774657888003 11.77747 Meter <-- Height 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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7 Height of Cylinder Calculators

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

4 Height of Cylinder Calculators

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

Height of Cylinder given Total Surface Area and Base Area Formula

Height of Cylinder = (Total Surface Area of Cylinder-2*Base Area of Cylinder)/(2*pi*Radius of Cylinder)
h = (TSA-2*ABase)/(2*pi*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 Height of Cylinder given Total Surface Area and Base Area?

Height of Cylinder given Total Surface Area and Base Area calculator uses Height of Cylinder = (Total Surface Area of Cylinder-2*Base Area of Cylinder)/(2*pi*Radius of Cylinder) to calculate the Height of Cylinder, The Height of Cylinder given Total Surface Area and Base Area formula is defined as the longest vertical distance from the bottom circular face to the top circular face of the Cylinder and is calculated using the total surface area and base area of the Cylinder. Height of Cylinder is denoted by h symbol.

How to calculate Height of Cylinder given Total Surface Area and Base Area using this online calculator? To use this online calculator for Height of Cylinder given Total Surface Area and Base Area, enter Total Surface Area of Cylinder (TSA), Base Area of Cylinder (ABase) & Radius of Cylinder (r) and hit the calculate button. Here is how the Height of Cylinder given Total Surface Area and Base Area calculation can be explained with given input values -> 11.77747 = (530-2*80)/(2*pi*5).

FAQ

What is Height of Cylinder given Total Surface Area and Base Area?
The Height of Cylinder given Total Surface Area and Base Area formula is defined as the longest vertical distance from the bottom circular face to the top circular face of the Cylinder and is calculated using the total surface area and base area of the Cylinder and is represented as h = (TSA-2*ABase)/(2*pi*r) or Height of Cylinder = (Total Surface Area of Cylinder-2*Base Area of Cylinder)/(2*pi*Radius of Cylinder). Total Surface Area of Cylinder is the total quantity of plane enclosed on the entire surface of the Cylinder, Base Area of Cylinder is the area of the base circular face of Cylinder & Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder.
How to calculate Height of Cylinder given Total Surface Area and Base Area?
The Height of Cylinder given Total Surface Area and Base Area formula is defined as the longest vertical distance from the bottom circular face to the top circular face of the Cylinder and is calculated using the total surface area and base area of the Cylinder is calculated using Height of Cylinder = (Total Surface Area of Cylinder-2*Base Area of Cylinder)/(2*pi*Radius of Cylinder). To calculate Height of Cylinder given Total Surface Area and Base Area, you need Total Surface Area of Cylinder (TSA), Base Area of Cylinder (ABase) & Radius of Cylinder (r). With our tool, you need to enter the respective value for Total Surface Area of Cylinder, Base Area of Cylinder & Radius 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 Height of Cylinder?
In this formula, Height of Cylinder uses Total Surface Area of Cylinder, Base Area of Cylinder & Radius of Cylinder. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Height of Cylinder = Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder)
  • Height of Cylinder = Total Surface Area of Cylinder/(2*pi*Radius of Cylinder)-Radius of Cylinder
  • Height of Cylinder = Volume of Cylinder/(pi*Radius of Cylinder^2)
  • Height of Cylinder = sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)
  • Height of Cylinder = (2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2)
  • Height of Cylinder = Perimeter of Cylinder/2-2*pi*Radius of Cylinder
  • Height of Cylinder = sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)
  • Height of Cylinder = Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder)
  • Height of Cylinder = Volume of Cylinder/(pi*Radius of Cylinder^2)
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