Engineering

How to Calculate and Solve the Centre of Gravity of a Right Circular Cone

Last Updated on February 14, 2024

How to Calculate and Solve the Centre of Gravity of a Right Circular Cone

This image above shows what a right circular cone looks like. There is only one essential parameter for calculating the centroid or centre of gravity of a right circular cone. This parameter is the height of the cone (h).

The formula for calculating the the centroid of a right circular cone is:

C.G. = h / 4

As always let’s solve an example.

Find the centroid or centre of gravity of a right circular cone where the height of the cone is 12cm.
This implies that:

h = height of the cone = 12

C.G. = 12 / 4
C.G. = 3

Therefore, the centroid is 3.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the centroid of a right circular cone at a distance from its base measured along the vertical axis.

How to Calculate and Solve the Centre of Gravity of a Right Circular Cone with Nickzom Calculator

To get the answer and workings 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 Mechanics under the Engineering section

How to Calculate and Solve the Centre of Gravity of a Right Circular Cone

Now, click on Centre of Gravity under Statics

Now, click on <strong>Centre of Gravity of a Right Circular Cone

The screenshot below displays the page or activity to enter your values to get answers according to the respective parameter which is the height of the cone (h).

How to Calculate and Solve the Centre of Gravity of a Right Circular Cone

Now, enter the value appropriately and accordingly for the parameter as required by the example above where the height of the cone is 12.

How to Calculate and Solve the Centre of Gravity of a Right Circular Cone

Lastly, click on the Calculate button

As you can see from the screenshot above, Nickzom Calculator – The Calculator Encyclopedia solves for the centroid of a right circular cone and presents the formula, workings and steps too.