Surface Area of Cone Calculator

Base Radius

Height

Cone Surface Area Calculator

Do you want a quick and accurate way to calculate the surface area of a cone without solving formulas manually? Our Cone Surface Area Calculator makes it easy. Simply enter the base radius and height, and the calculator instantly computes the slant height and provides the total surface area. This tool is perfect for students, teachers, engineers, and anyone working with cone-shaped objects in real life.

What is the Surface Area of a Cone?

The surface area of a cone is the total area of its circular base plus the area of its curved (lateral) surface.

Formula:
TSA = πr² + πrl

Where:r = base radius,h = vertical height,l = slant height = √(r² + h²).

👉 With just the radius and height, you can calculate the surface area of any cone. Our calculator does this automatically for you.

How Does the Cone Surface Area Calculator Work?

Enter the base radius (r) of the cone.
Enter the vertical height (h) of the cone.
The calculator finds the slant height (l) using: l = √(r² + h²).
It then applies the formula πr² + πrl.
The total surface area is displayed instantly.

This ensures accuracy and saves you from manual steps.

Examples of Cone Surface Area Calculations

Example: Radius = 5 cm, Height = 10 cm → Slant Height = 11.18 cm → Total = 254.16 cm²

Example: Radius = 7 cm, Height = 24 cm → Slant Height = 25 cm → Total = 703.71 cm²

Example: Radius = 10 cm, Height = 12 cm → Slant Height = 15.62 cm → Total = 804.89 cm²

Example: Radius = 3 m, Height = 4 m → Slant Height = 5 m → Total = 75.39 m²

Example: Radius = 8 cm, Height = 15 cm → Slant Height = 17 cm → Total = 628.31 cm²

Features of Our Cone Surface Area Calculator

✅ Calculates total surface area using radius and height

✅ Automatically finds slant height with the Pythagoras theorem

✅ Provides instant, error-free results

✅ Works on desktop, mobile, and tablets

✅ Free to use, no registration required

✅ Clean and user-friendly design

Who Should Use This Calculator?

Students & Teachers – For solving geometry and trigonometry assignments

Engineers & Architects – For designing and analyzing cone-shaped structures

Construction Experts – For material estimations in roofs, towers, or domes

Researchers & Mathematicians – For quick, precise calculations

DIY Enthusiasts – For crafting and projects involving cones

Why Use an Online Cone Surface Area Calculator?

Manual calculations require multiple steps: finding the slant height, computing the base area, adding the curved surface area, and applying π. This process can be time-consuming and prone to errors.
Our Cone Surface Area Calculator does everything instantly — from slant height to final surface area — giving you fast, accurate results every time.

Practical Applications

Geometry Education – Explaining surface area concepts in 3D shapes

Architecture & Construction – Used in design of domes, cones, and conical roofs

Engineering – Essential for product design and machine components

Everyday Use – Helpful for craft projects, DIY tasks, and learning geometry basics

✅ The Cone Surface Area Calculator is an essential tool for anyone working with geometry or cone-based designs. Whether you’re a student learning formulas, a teacher demonstrating concepts, or a professional applying math in real projects, this calculator saves time and ensures accuracy.

👉 Try our Cone Surface Area Calculator today on Hive Calculator and simplify your cone geometry calculations in seconds.