The image above is a conical frustum. To calculate the lateral surface area of a conical frustum requires three essential parameters which are the radius of the lower base (R), the radius of the upper base (r), and the height (h).
The formula for calculating the lateral surface area of a conical frustum:
A = Ï€(R + r)√((R – r)² + h²)
Where;
A = Area 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;
Given that the height of a conical frustum is 28 cm with a radius of lower base of 22 cm and a radius of upper base of 19 cm. Find the lateral surface area of the conical frustum?
This implies that;
h = Height of the conical frustum = 28 cm
R = Radius of the lower base = 22 cm
r = Radius of the upper base = 19 cm
A = Ï€(R + r)√((R – r)² + h²)
A = 3.142(22 + 19)√((22 – 19)² + 28²)
So, A = 3.142(41)√((3)² + 28²)
A = 3.142 (41)√(9 + 784)
A = 3.142 (41)√(793)
Then, A = 3.142 (41)(28.16)
A = 3.142 x 1154.56
A = 3627.63
Therefore, the lateral surface area of the conical frustum is 3627.63 cm².
Read more:Â How to Calculate and Solve for the Height and Volume of a Conical Frustum | The Calculator Encyclopedia
How to Calculate the Lateral Surface Area of a Conical Frustum Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the lateral surface area of a conical frustum.
To get the answer and workings of the lateral surface area 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
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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 Lateral Surface area of a conical frustum under Mensuration
The screenshot below displays the page or activity to enter your values, to get the answer for the lateral surface area of a conical frustum according to the respective parameters which are the radius of the lower base (R), radius of the lower base (r) and the height of the conical frustum.
Now, enter the values appropriately and accordingly for the parameters as required by the example above where the radius of the lower base is 22 cm, radius of the upper base is 19 cm and the height is 28 cm.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator – The Calculator Encyclopedia solves for the Lateral Surface area of a conical frustum and presents the formula, workings and steps too.
