Conical Frustum Calculator: Easily Find Volume and Surface Area

When dealing with geometry problems or engineering designs, calculating the volume and surface area of a conical frustum can get tricky. A conical frustum is simply a cone with the top sliced off, leaving two circular ends of different radii. Manually working through the math can be time-consuming, but with a Conical Frustum Calculator, you can get accurate results in seconds.

What Is a Conical Frustum?

A conical frustum is formed when a cone is cut parallel to its base, creating a smaller top circle and a larger bottom circle. This shape is common in architectural designs, industrial parts, and even everyday items like lampshades, cups, and funnels. To fully understand a conical frustum, two main measurements are usually needed:

• Volume – the amount of space inside the frustum.
• Surface Area – the total area of its outer surfaces (both circular ends plus the slanted side).

How the Calculator Works

The Conical Frustum Calculator only needs a few inputs to do the heavy lifting for you:

1. Enter the radius of the bottom circle (R).
2. Enter the radius of the top circle (r).
3. Enter the height (h).

Once these values are provided, the tool instantly calculates:

• Volume using the formula:

V=1/3​πh(R²+Rr+r²)

• Surface Area including both circular ends and the lateral (slanted) surface.

This makes the tool practical for students, engineers, designers, and architects who want precise results without manual calculations.

Common Use Cases

• Engineering and Architecture – calculating dimensions of structures and materials.
• Manufacturing – designing parts shaped like truncated cones.
• Education – helping students quickly verify geometry homework or projects.

Why Use This Tool?

The calculator saves time and removes the risk of calculation errors. It also supports different units, making it versatile for various applications. Compared to manually working through formulas, this tool simplifies the process into just a few clicks.

Try It Yourself

Ready to make your calculations easier? Use the Conical Frustum Calculator today and get instant results.

https://onl.li/tools/conical-frustum-calculator-255