Conical Frustum Surface Area Calculator

Introducing a geometry calculator for calculating the surface area of conical frustums. Are you looking for a calculator to find the surface area of a conical frustum? The answer is here. Here is an online conical frustum surface area calculator that finds the area of a conical frustum. We also show you the formula for calculating the surface area of conical frustums with example.

Conical frustum surface area formula

The surface area of a conical frustum can be obtained with the conical frustum surface area formula below:

A = (π * r2) + (π * R2) + {π * (r + R) * √[(R - r)2 + h2]}

  • r: radius of the top surface
  • R: radius of the bottom surface
  • h: height of the conical frustum

Example of how to calculate the surface area of a conical frustum

We now have the formula to calculate the surface area of a conical frustum. Let’s solve an example problem with that.

For a conical frustum with the top radius r = 3 cm, bottom radius R = 4 cm and the height h = 5 cm, we can calculate its surface area like so:

  • A = (π * r2) + (π * R2) + {π * (r + R) * √[(R - r)2 + h2]}
  • A = (π * 32) + (π * 42) + {π * (3 + 4) * √[(4 - 3)2 + 52]} = 190.67 cm2

Now you know how to find the surface area of a conical frustum. If you need a handy calculation tool to find the surface area of a conical frustum, try out our conical frustum surface area calculator.

How to use the conical frustum surface area calculator?

You can use the conical frustum surface area calculator to find the surface area of a conical frustum:

  1. Enter the length of the top radius (r).
  2. Enter the length of the bottom radius (R).
  3. Enter the length of the height (h)
  4. Our conical frustum calculation tool performs all the calculations for you. The surface area is displayed.

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