Unit Conversions

How to Convert Cylindrical to Cartesian | Coordinate Units

Last Updated on March 19, 2023

The image below represents cylindrical to cartesian.

To convert cylindrical to cartesian, three essential parameters are needed and these parameters are the Value of ρ, the Value of φ, and the Value of z.

The formula for converting cylindrical to cartesian (x, y, z):

x = ρcosφ

y = ρsinφ

z = z

Let’s solve an example;
Find the conversion of cylindrical to cartesian when the value of ρ is 3, the value of φ is 6 and the value of z is 7.

This implies that;

Value of ρ = 3
Value of φ = 6
Value of z = 7

Finding x:

x = 3 x cos(6°)
x = 3 x 0.99
x = 2.98

Therefore, is 2.98

Finding y:

y = 3 x sin(6°)
y = 3 x 0.1045
y = 0.313

Therefore, is 0.313

Finding z:

z = 7

Therefore, the Cartesian coordinates of the cylindrical coordinates (3, 6°, 7) is (2.98, 0.313, 7).

Nickzom Calculator – The Calculator Encyclopedia is capable of converting cylindrical to cartesian.

To get the answer and workings of cylindrical to cartesian 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 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 Coordinate Units under Switches.

Now, Click on Cylindrical to Cartesian under Coordinate Units

The screenshot below displays the page or activity to enter your values, to get the answer for the conversion of cylindrical to cartesian according to the respective parameters which are the Value of ρ, Value of φ, and Value of z.

Now, enter the values appropriately and accordingly for the parameters as required by the Value of ρ is 3, Value of φ is 6, and Value of z is 7.

Finally, Click on Calculate


As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves the conversion of cylindrical to cartesian and presents the formula, workings, and steps too.

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