Surface Area of Conical Frustum Calculator

Top Radius

Bottom Radius

Height

Conical Frustum Surface Area Calculator

Need a quick and reliable way to calculate the surface area of a conical frustum? Our Conical Frustum Surface Area Calculator makes it easy. Simply enter the top radius, bottom radius, and height, and the calculator instantly provides the total surface area. Perfect for students, teachers, architects, engineers, and construction professionals, this tool saves time and eliminates manual errors.

📏 What is a Conical Frustum?

A conical frustum is created when a cone is sliced parallel to its base and the smaller top cone is removed. It has two circular bases — a smaller top radius (r) and a larger bottom radius (R) — connected by the height (h).
The Total Surface Area (TSA) of a conical frustum includes:
• The curved surface area (lateral area)
• The area of the top circle
• The area of the bottom circle

👉 Formula:
TSA = π(R + r)l + πR² + πr²
where
R = bottom radius
r = top radius
h = height
l = slant height = √((R – r)² + h²)

⚖️ How Does the Conical Frustum Surface Area Calculator Work?

Enter the top radius (r).
Enter the bottom radius (R).
Enter the height (h).
The calculator automatically computes the slant height (l).
It applies the formula π(R + r)l + πR² + πr².
The total surface area is displayed instantly.

📚 Examples of Conical Frustum Surface Area Calculations

Example: Top Radius = 5 cm, Bottom Radius = 8 cm, Height = 10 cm

TSA ≈ 705.99 cm²

Example: Top Radius = 3 cm, Bottom Radius = 6 cm, Height = 12 cm

TSA ≈ 491.10 cm²

Example: Top Radius = 10 cm, Bottom Radius = 15 cm, Height = 20 cm

TSA ≈ 2,640.15 cm²

Example: Top Radius = 7 cm, Bottom Radius = 12 cm, Height = 25 cm

TSA ≈ 2,128.13 cm²

Example: Top Radius = 4 cm, Bottom Radius = 9 cm, Height = 15 cm

TSA ≈ 950.48 cm²

✨ Features of Our Conical Frustum Surface Area Calculator

✅ Uses the correct TSA formula π(R + r)l + πR² + πr²

✅ Accurate and instant results

✅ Easy-to-use interface — just three inputs required

✅ Works on desktop, tablet, and mobile

✅ Free to use, no sign-up needed

✅ Saves time and reduces human error

✅ Perfect for academic, professional, and real-world applications

👩‍💼 Who Should Use This Calculator?

Students & Teachers – For learning and solving 3D geometry problems

Architects & Engineers – For designing frustum-based structures

Construction Professionals – For material planning and surface measurements

Researchers & Scientists – For modeling frustum-shaped objects

DIY Enthusiasts – For projects involving cones, lampshades, funnels, or towers

💡 Why Use an Online Conical Frustum Surface Area Calculator?

Manual calculations require multiple steps, including finding the slant height before calculating the surface area. It’s time-consuming and prone to mistakes.
Our Conical Frustum Surface Area Calculator removes this hassle by providing quick, precise results with just three inputs. It’s fast, accurate, and efficient.

🌍 Practical Applications

Mathematics & Education: Teaching and learning geometry concepts

Architecture & Construction: Designing frustum-shaped pillars, towers, lampshades, and structures

Manufacturing: Estimating surfaces of containers, molds, and industrial designs

Science & Research: Modeling frustums in experiments and practical studies

✅ The Conical Frustum Surface Area Calculator is the perfect tool for accurate, quick, and hassle-free geometry calculations.

👉 Try our Conical Frustum Surface Area Calculator today on Hive Calculator and simplify your geometry calculations instantly.