How to Calculate and Solve for the Height and Volume of a Conical Frustum | The Calculator Encyclopedia
Last Updated on February 17, 2024
The image above is a conical frustum. To calculate the volume of a conical frustum, three essential parameters are needed and this parameters are radius of the lower base (R), the radius of the upper base (r), and height (h).
The formula for calculating the volume of a conical frustum:
V = πh(R² + Rr + r²) ⁄ 3
Where;
V = Volume of the conical frustum
R = Radius of the lower base
r = Radius of the upper base
h = Height of the conical frustum
Let’s solve an example;
Find the volume of the conical frustum when the lower base is 5 cm with an upper base of 9 cm and a height of 11 cm.
This implies that;
R = Radius of the lower base = 5 cm
r = Radius of the upper base = 9 cm
h = Height of the conical frustum = 11 cm
V = π(11)((5)² + (5)(9) + (9)²) ⁄ 3
V = (34.557)((25) + (45) + (81)) ⁄ 3
Then, V = (34.557)(151) ⁄ 3
V = 5218.185 ⁄ 3
V = 1739.39
Therefore, the volume of the conical frustum is 1739.39 cm3.
How to Calculate Volume of a Conical Frustum Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the volume of a conical frustum.
To get the answer and workings of the volume of a conical frustum 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 conical frustum under Mensuration
The screenshot below displays the page or activity to enter your values, to get the answer for the volume of a conical frustum according to the respective parameters which are the radius of the lower base (R), radius of the upper base (r) and height (h).
Now, enter the values appropriately and accordingly for the parameters as required by the example above where the radius of the lower base (R) is 5 cm, radius of the upper base (r) is 9 cm and height (h) is 11 cm.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator – The Calculator Encyclopedia solves for the volume of a conical frustum and presents the formula, workings and steps too.
