The image above represents a cylinder. To calculate the volume of a cylinder requires two essential parameters which are the radius and height of the cylinder.
The formula for computing the volume of a cylinder is:
V = πr2h
Where:
V = Volume of a cylinder
r = radius of the cylinder
h = height of the cylinder
Let’s solve an example
Find the volume of a cylinder with a radius of 3 cm and a height of 5 cm.
This implies that:
r = radius of the cylinder = 3
h = height of the cylinder = 5
V = πr2h
V = 3.142 x 32 x 5
So, V = 141.39
Therefore, the volume of the cylinder is 141.39 cm3.
Calculating the Height of a cylinder when Volume and Radius is Given
The formula is h = V / πr2
Where;
V = Volume of a cylinder
r =Â radius of the cylinder
h = height of the cylinder
Let’s solve an example:
Find the height of a cylinder with a volume of 300 cm3 and a radius of 3 cm
This implies that;
V = Volume of the cylinder = 300 cm3
r = radius of the cylinder = 3 cm
h = V / πr2
h =Â 300Â /Â 3.142(3)2
Then, h = 300Â /Â 28.278
h = 10.61
Therefore, the height of the cylinder is 10.61 cm.
Calculating the Radius of a cylinder when Volume and Height is Given
The formula is r = √(V / πh)
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Where;
V = Volume of a cylinder
r =Â radius of the cylinder
h = height of the cylinder
Let’s solve an example:
Find the radius of a cylinder with a volume of 200 cm3 and a height of 5 cm
This implies that;
V = Volume of the cylinder = 200 cm3
h = height of the cylinder = 5 cm
r = √(V / πh)
r = √(200 / 3.142(5))
That is, r = √(200 / 15.71)
r = √12.73
r = 3.57
Therefore, the radius of the cylinder is 3.57 cm.
How to Calculate and Solve for the Volume of a Cylinder Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the volume of a cylinder.
To get the answer and workings of the volume of a cylinder using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe for NGN 1,500 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Mensuration under the Mathematics section.
Now, click on Volume of a Cylinder under Mensuration
The screenshot below displays the page or activity to enter your values, to get the answer for the volume of a cylinder according to the respective parameters which are the radius and height of the cylinder.
Now, enter the values appropriately and accordingly for the parameters as required by the example above where the radius of the cylinder is 3 cm and the height of the cylinder is 5 cm.
Finally, click on the Calculate button
As you can see from the screenshot above, Nickzom Calculator – The Calculator Encyclopedia solves for the volume of a cylinder and presents the formula, workings and steps too.
