## Height of Cylinder given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Cylinder = Volume of Cylinder/(pi*Radius of Cylinder^2)
h = V/(pi*r^2)
This formula uses 1 Constants, 3 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.
Volume of Cylinder - (Measured in Cubic Meter) - Volume of Cylinder is the total quantity of three dimensional space enclosed by the entire surface 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.
STEP 1: Convert Input(s) to Base Unit
Volume of Cylinder: 940 Cubic Meter --> 940 Cubic Meter No Conversion Required
Radius of Cylinder: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = V/(pi*r^2) --> 940/(pi*5^2)
Evaluating ... ...
h = 11.9684517205105
STEP 3: Convert Result to Output's Unit
11.9684517205105 Meter --> No Conversion Required
11.9684517205105 11.96845 Meter <-- Height of Cylinder
(Calculation completed in 00.004 seconds)
You are here -
Home » Math »

## 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!

## < 7 Height of Cylinder Calculators

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

## Height of Cylinder given Volume Formula

Height of Cylinder = Volume of Cylinder/(pi*Radius of Cylinder^2)
h = V/(pi*r^2)

## 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 Volume?

Height of Cylinder given Volume calculator uses Height of Cylinder = Volume of Cylinder/(pi*Radius of Cylinder^2) to calculate the Height of Cylinder, The Height of Cylinder given Volume 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 volume of the Cylinder. Height of Cylinder is denoted by h symbol.

How to calculate Height of Cylinder given Volume using this online calculator? To use this online calculator for Height of Cylinder given Volume, enter Volume of Cylinder (V) & Radius of Cylinder (r) and hit the calculate button. Here is how the Height of Cylinder given Volume calculation can be explained with given input values -> 11.96845 = 940/(pi*5^2).

### FAQ

What is Height of Cylinder given Volume?
The Height of Cylinder given Volume 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 volume of the Cylinder and is represented as h = V/(pi*r^2) or Height of Cylinder = Volume of Cylinder/(pi*Radius of Cylinder^2). Volume of Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the 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 Volume?
The Height of Cylinder given Volume 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 volume of the Cylinder is calculated using Height of Cylinder = Volume of Cylinder/(pi*Radius of Cylinder^2). To calculate Height of Cylinder given Volume, you need Volume of Cylinder (V) & Radius of Cylinder (r). With our tool, you need to enter the respective value for Volume 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 Volume 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*Base 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 = 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 = (Total Surface Area of Cylinder-2*Base Area of Cylinder)/(2*pi*Radius of Cylinder) Let Others Know